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Radiatoren.html
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<p class="cs95E872D0"><span class="cs84FBA952">Radiatoren</span></p><p class="cs95E872D0"><span class="csB33285EC">9 February, 2019</span></p><p class="cs95E872D0"><span class="csB33285EC">21:40</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Inhoud</span></p><ul style="margin-top:0;margin-bottom:0;">
<li class="cs9C490B4D"><span class="cs1B16EEB5">Samenvatting</span></li><li class="cs9C490B4D"><span class="cs1B16EEB5">Voorbeeld radiator</span></li><li class="cs9C490B4D"><span class="cs1B16EEB5">Radiator typen</span></li><li class="cs9C490B4D"><span class="cs1B16EEB5">…...</span></li></ul>
<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Samenvatting</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Volgens de geldende Europese norm EN442 moet het vermogen van een radiator worden opgegeven bij 75/65/20, de zogenaamde P50-waarde.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><table class="cs2D2816FE" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;">
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<td class="cs309500E7" valign="top" width="772"><p class="cs95E872D0"><span class="cs1B16EEB5">We hebben een goede formule om het vermogen van een radiator om te rekenen naar een andere (lagere) aanvoer temperatuur.</span></p><p class="cs95E872D0"><span class="cs1B16EEB5">We hebben metingen verricht bij een aanvoer temperatuur van 43 graden Celsius, waaruit blijkt dat deze formule behoorlijk adequaat is.</span></p><p class="cs95E872D0"><span class="cs1B16EEB5">Tevens hebben we hiermee aangetoond dat we de woonkamer kunnen verwarmen met een aanvoer temperatuur van 43 graden Celsius en dat we momenteel (er moeten nog een aantal isolatiemaatregelen worden genomen) genoeg hebben aan een vermogen van 2000 Watt.</span></p></td><td class="cs1E4DC348" valign="top" width="137"><p class="cs95E872D0"><span class="csD5D7D290"><img src="Radiatoren_files/image13.png" width="117" height="48" alt="" style="border-width:0px;" /></span></p></td></tr>
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<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Het transport van warmte van radiator naar omgeving vindt plaats via Convectie (transport door bewegende lucht) en Straling. We hebben formules om deze onderdelen van het warmtetransport afzonderlijk te bepalen. Hierdoor kunnen we voorspellen wat het nut van radiator folie voor een bepaalde configuratie zal zijn.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Lage temperatuur radiatoren ….</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Transport isolatie ….</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Experimenten met radiator folie in een lab opstelling</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Voorbeeld radiator</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Als voorbeeld om de berekeningen te toetsen en een gevoel te krijgen van de grootte van de verschillende effecten, gebruiken we steeds de volgende radiator als voorbeeld:</span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image14.png" width="772" height="300" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Radiator Typen</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Het type en de hoogte van een radiator bepalen een aantal belangrijke eigenschappen:</span></p><ul style="margin-top:0;margin-bottom:0;">
<li class="cs9C490B4D"><span class="cs1B16EEB5">De verhouding tussen convectie warmte- en stralingswarmte (met name afhankelijk van de geometrie)</span></li><li class="cs9C490B4D"><span class="cs1B16EEB5">n-waarde (met name afhankelijk van de hoogte)</span></li></ul>
<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image15.png" width="692" height="298" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"><a class="csB4F56505" href="https://www.yumpu.com/nl/document/read/14030886/technische-gegevens-dura-horizontale-radiatoren-101-radia"><span class="cs777ED152">https://www.yumpu.com/nl/document/read/14030886/technische-gegevens-dura-horizontale-radiatoren-101-radia</span></a></span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image16.png" width="503" height="471" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Vermogen bij T = ..</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Volgens de geldende Europese norm EN 442 moet het vermogen gedefinieerd worden bij 75/65/20, dus een aanvoer temperatuur van 70 Celsius, een afvoertemperatuur van 65 Celsius en een omgevingstemperatuur van 20 Celsius. De gemiddelde temperatuur van de radiator is dus 70 Celsius </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Voor ons voorbeeld model is dat dus 2412 Watt.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Volgens <a class="csB4F56505" href="http://radiator.stiliac.com/docs/en/norma%20di%20calcolo.pdf"><span class="cs777ED152">http://radiator.stiliac.com/docs/en/norma%20di%20calcolo.pdf</span></a></span><span class="cs1B16EEB5"> moet je dan het vermogen bij een andere delta-T kunnen berekenen met de volgende formule</span></p><table class="cs2D2816FE" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;">
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<td class="cs8EF157F3" valign="top" width="63"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csE5028D92" valign="top" width="722"><p class="cs95E872D0"><span class="csD5D7D290"><img src="Radiatoren_files/image17.png" width="699" height="233" alt="" style="border-width:0px;" /></span></p><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td></tr>
</table>
<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Formule + berekening die ook aardig klopt: <a class="csB4F56505" href="https://www.engineeringtoolbox.com/heat-emission-radiators-d_272.html"><span class="cs777ED152">https://www.engineeringtoolbox.com/heat-emission-radiators-d_272.html</span></a></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">N = 1.34 (afgekeken van een andere radiator, dus kan foutief zijn)</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">P50 = 2412</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">P60 = 2412 * (( 60 / 50 ) ^1.357) = 3089.0594 (fabrikant geeft 3072 aan)</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Deze formule lijkt dus een behoorlijk goede benadering.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Voor deze radiator, P50 = 2340, P20=656 <a class="csB4F56505" href="https://www.radson.com/docs/CLD%20-%20NL.pdf"><span class="cs777ED152">https://www.radson.com/docs/CLD%20-%20NL.pdf</span></a></span><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">P20 = 2340 * (( 20 / 50 ) ^1.357) = 674.8561 </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">P50 = 656 * (( 50 / 20 ) ^1.357) = 2,274.6178 </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Gaat het beide kanten ookbehoorlijk goed</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image18.png" width="449" height="643" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Vermogen bij 43 Celcius</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">We hebben een aantal metingen verricht in de woonkamer, bij 0 graden Celsius buitentemperatuur en 20 graden Celsius kamertemperatuur. Nu we alle gegevens bijeen hebben kunnen we kijken of de waarnemingen ook met elkaar overeen komen.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">De maximale aanvoer temperatuur is teruggeregeld naar 43 graden Celsius. Bij deze temperaturen zijn de radiatoren in staat om de temperatuur op 20 graden te houden en ook na een nachtverlaging tot 16 graden Celsius de kamer in een aantal uren naar 20 graden Celsius te brengen.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Het vermogen van de huidige radiatoren bij 75/65/20 bedraagt : P50 = 2412 + 2788 + 922 = 6122 [Watt]</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Voor het gemak houden we de n-waarde van alle radiatoren gelijk op 1.34.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">De gemiddelde radiator temperatuur zal dan ongeveer 40 graden Celsius bedragen.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">De delta-T bedraagt dus 20 graden Celsius.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">P43 = 6122 * ( 20 / 50 ) ^1.34 = 1793 [ Watt ]</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Er is een tweede experiment gedaan, met een elektrische straalkachel. Hier blijkt dat we met 2000 Watt de kamer onder deze condities ook warm kunnen houden en met 2500 Watt kunnen we de kamer zelfs redelijk snel op temperatuur te brengen.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Daarnaast hebben we nog het gasverbruik genoteerd. Hier kunnen we grofweg ook wel iets uithalen: Op deze dagen gebruikte we ongeveer 5 m3 gas per dag. Deze hoeveelheid gas komt overeen met 50 kWh. Over 24 uur is dat dus iets meer dan 2000 Watt. </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Deze gegevens komen dus behoorlijk goed met elkaar overeen. Het gasverbruik is wat hoger, maar mogelijk dat daar de volgende zaken een rol spelen:</span></p><ul style="margin-top:0;margin-bottom:0;">
<li class="cs9C490B4D"><span class="cs1B16EEB5">Verbruik warm water voor douchen / afwas</span></li><li class="cs9C490B4D"><span class="cs1B16EEB5">Stralingsverlies aan de achterkant van de radiator</span></li><li class="cs9C490B4D"><span class="cs1B16EEB5">Verlies in de transport van warm water</span></li><li class="cs9C490B4D"><span class="cs1B16EEB5">Verlies in de boiler</span></li><li class="cs9C490B4D"><span class="cs1B16EEB5">De radiatoren stralen infrarood energie uit, die aan de achterkant verloren gaat (de straalkachel heeft daar geen last van)</span></li></ul>
<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">We kunnen nu ook een schatting van de gemiddelde isolatiewaarde van de woonkamer bepalen:</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Oppervlakte 50 m2</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Omtrek 30 m</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Hoogte 2.5 m</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Totale Oppervlakte bedraagt dus 2.5*30+2*50 = 175 m2</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">De gemiddelde Isolatiewaarde R_gemiddeld = 20 * 175 / 2000 = 1.75 m2.K/Watt, dat moet duidelijk nog wat beter.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Convectie</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"><a class="csB4F56505" href="https://www.lisafea.com/pdf/Convection_heat_transfer_coefficient.pdf"><span class="cs777ED152">https://www.lisafea.com/pdf/Convection_heat_transfer_coefficient.pdf</span></a></span></p><table class="cs2D2816FE" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;">
<tr>
<td class="csBC73E195" valign="top" width="516"><p class="cs95E872D0"><span class="csD5D7D290"><img src="Radiatoren_files/image19.png" width="497" height="271" alt="" style="border-width:0px;" /></span></p></td><td class="csAEC21ABC" valign="top" width="67"><p class="cs95E872D0"><span class="cs1B16EEB5">`</span></p></td></tr>
</table>
<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Probleem is de bepaling van de heat transfer coëfficiënt bij een normale convectie (dus ongeforceerd)</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"><a class="csB4F56505" href="https://www.engineersedge.com/heat_transfer/convective_heat_transfer_coefficients__13378.htm"><span class="cs777ED152">https://www.engineersedge.com/heat_transfer/convective_heat_transfer_coefficients__13378.htm</span></a></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image20.png" width="603" height="661" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"><a class="csB4F56505" href="https://www.electronics-cooling.com/2001/08/simplified-formula-for-estimating-natural-convection-heat-transfer-coefficient-on-a-flat-plate/"><span class="cs777ED152">https://www.electronics-cooling.com/2001/08/simplified-formula-for-estimating-natural-convection-heat-transfer-coefficient-on-a-flat-plate/</span></a></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image21.png" width="672" height="428" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Ook bovenstaande figuur komt uit op ongeveer 5.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><table class="cs2D2816FE" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;">
<tr>
<td class="csA078F1BC" valign="top" width="447"><p class="cs95E872D0"><span class="cs1B16EEB5">Voor onze voorbeeld radiator zou deze dus een vermogen leveren van</span></p><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p><p class="cs95E872D0"><span class="cs1B16EEB5">Oppervlakte = 5 m2 (type 21, vinnen laten we voor de helft meetellen)</span></p><p class="cs95E872D0"><span class="cs1B16EEB5"> T_aanvoer = 90 Celsius</span></p><p class="cs95E872D0"><span class="cs1B16EEB5">T_afvoer = 70 Celsius</span></p><p class="cs95E872D0"><span class="cs1B16EEB5">Gemiddelde temperatuur = 80 Celsius</span></p><p class="cs95E872D0"><span class="cs1B16EEB5">Lucht temperatuur = 20 Celsius</span></p><p class="cs95E872D0"><span class="cs1B16EEB5">Heat transfer Coëfficiënt = 5</span></p></td><td class="cs1138EFDE" valign="top" width="236"><p class="cs95E872D0"><span class="cs1B16EEB5">P = 5 * 5 * (80 - 20) = 1,500 </span></p><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p><p class="cs95E872D0"><span class="cs1B16EEB5">Fabrikant claimt het dubbele ???? </span></p></td></tr>
</table>
<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"><a class="csB4F56505" href="http://www.henrad.eu/henrad1/wp-content/uploads/HR-ECO-TD-NL.pdf"><span class="cs777ED152">http://www.henrad.eu/henrad1/wp-content/uploads/HR-ECO-TD-NL.pdf</span></a></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image22.png" width="862" height="333" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs5FC355D3">Screen clipping taken: 10-Feb-19, 10:40</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Straling</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">De hoeveelheid straling wordt bepaald door de Stefan-Boltzman wet: <a class="csB4F56505" href="http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/stefan.html"><span class="cs777ED152">http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/stefan.html</span></a></span></p><table class="cs2D2816FE" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;">
<tr>
<td class="cs2E1FF90C" valign="top" width="278"><p class="cs95E872D0"><span class="cs1B16EEB5">Het uitgestraalde vermogen [Watt]</span></p><p class="cs95E872D0"><span class="cs1B16EEB5"><br/>P = e ∙ σ ∙ A· (T2^4 – T1^4)</span></p></td><td class="cs59AF3C1E" valign="top" width="385"><p class="cs95E872D0"><span class="cs1B16EEB5">A = Oppervlakte [m2]</span></p><p class="cs95E872D0"><span class="csED7E218C">e = emissiviteit van de radiator (0.95 .. 1)</span></p><p class="cs95E872D0"><span class="csED7E218C">σ = Stefan-Bolzman constante = 5.67*</span><span class="cs1B16EEB5">10^-8 [ W/(m2 *K4) ]</span></p><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p><p class="cs95E872D0"><span class="cs1B16EEB5">T1 = absolute temperatuur van de straler [K]</span></p><p class="cs95E872D0"><span class="cs1B16EEB5">T2 = de gemiddelde absolute omgevingstemperatuur [K]</span></p></td></tr>
</table>
<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Voor een radiator met een oppervlakte van 1 m2, hier het uitgestraalde vermogen aan de achterkant, bij verschillende muur temperaturen en verschillende aanvoer temperaturen van het water.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">De kolom Warmteafgifte, is de door de fabrikant opgegeven maximaal vermogen bij de geldende aanvoer temperatuur..</span></p><table class="cs2D2816FE" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;">
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="csDC4A80">Bolzman constante [ W/(m2*K4) ]</span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs1157FFE2"><span class="csDC4A80">5.67E-08</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="csDC4A80">Radiator Oppervlakte [m2]</span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs1157FFE2"><span class="csDC4A80">1</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="csDC4A80">emissiviteit</span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs1157FFE2"><span class="csDC4A80">1</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs95E872D0"><span class="csDC4A80">Radiator</span></p><p class="cs95E872D0"><span class="csDC4A80">Temperatuur</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs95E872D0"><span class="csDC4A80">Warmte</span></p><p class="cs95E872D0"><span class="csDC4A80">Afgifte</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="csDC4A80">Straling</span></p><p class="cs95E872D0"><span class="csDC4A80">Muur=10</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs95E872D0"><span class="csDC4A80">Straling</span></p><p class="cs95E872D0"><span class="csDC4A80">Muur=20</span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs95E872D0"><span class="csDC4A80">Straling</span></p><p class="cs95E872D0"><span class="csDC4A80">Muur=30</span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs1157FFE2"><span class="cs1B16EEB5">40</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">181</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">126</span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs1157FFE2"><span class="cs1B16EEB5">66</span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs1157FFE2"><span class="cs1B16EEB5">50</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">253</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">199</span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs1157FFE2"><span class="cs1B16EEB5">139</span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs1157FFE2"><span class="cs1B16EEB5">60</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">334</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">279</span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs1157FFE2"><span class="cs1B16EEB5">219</span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs1157FFE2"><span class="cs1B16EEB5">70</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs1157FFE2"><span class="cs1B16EEB5">2412</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">421</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">367</span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs1157FFE2"><span class="cs1B16EEB5">307</span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs1157FFE2"><span class="cs1B16EEB5">80</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">517</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">463</span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs1157FFE2"><span class="cs1B16EEB5">402</span></p></td></tr>
<tr>
<td class="cs6F92B362" valign="top" width="229"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="csA6CA0301" valign="top" width="103"><p class="cs1157FFE2"><span class="cs1B16EEB5">90</span></p></td><td class="cs9917C2C" valign="top" width="73"><p class="cs1157FFE2"><span class="cs1B16EEB5">3072</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">621</span></p></td><td class="cs3B73F486" valign="top" width="77"><p class="cs1157FFE2"><span class="cs1B16EEB5">567</span></p></td><td class="csA242FC3A" valign="top" width="81"><p class="cs1157FFE2"><span class="cs1B16EEB5">507</span></p></td></tr>
</table>
<p class="cs14438CD8"><span class="cs5FC355D3">Pasted from <<a class="cs7B98B7A9" href="file:///D:/_Milieu/Glas_temperatuur.xlsx"><span class="cs77704D4E">file:///D:\_Milieu\Glas_temperatuur.xlsx</span></a></span><span class="cs5FC355D3">> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Grote onduidelijkheid is, welke temperatuur heeft de muur.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">We zien dat het uitgestraalde vermogen, dat we met radiatorfolie kunnen tegenhouden in de orde van 10 à 15 % van het maximaal af te geven vermogen bedraagt.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Lage Temperatuur Radiatoren</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"><a class="csB4F56505" href="https://pure.tue.nl/ws/files/1608095/397131020256613.pdf"><span class="cs777ED152">https://pure.tue.nl/ws/files/1608095/397131020256613.pdf</span></a></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">CV Tuning</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Uitgebreid artikel, over allerlei kleine details: <a class="csB4F56505" href="https://gathering.tweakers.net/forum/list_messages/1490013/0"><span class="cs777ED152">https://gathering.tweakers.net/forum/list_messages/1490013/0</span></a></span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Waterzijdig inregelen: <a class="csB4F56505" href="https://woningadvies.revenberg.net/wp-content/uploads/Waterzijdig-inregelen-cv-installaties.pdf"><span class="cs777ED152">https://woningadvies.revenberg.net/wp-content/uploads/Waterzijdig-inregelen-cv-installaties.pdf</span></a></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Radiator Booster</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"><a class="csB4F56505" href="http://www.olino.org/blog/nl/articles/2010/12/20/radiator-booster/"><span class="cs777ED152">http://www.olino.org/blog/nl/articles/2010/12/20/radiator-booster/</span></a></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Radiator Folie</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Een deel van de energie wordt via straling aan de achterkant van de radiatoren uitgestraald. Deze energie wordt door de muur geabsorbeerd, waardoor de muur veel heter wordt dan gewenst en waardoor onnodig energie verloren gaat.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Radiator folie reflecteert het grootste deel van het stralingsvermogen dat naar achteren wordt gestraald. De energiebesparing is groter naar mate de radiator minder platen heeft, dus een radiator type 10 levert een veel grotere besparing dan radiator type 33.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Besparing bij een gemiddelde instelling van de aanvoer temperatuur</span></p><table class="cs2D2816FE" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;">
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs5BEC2C28">Radiator</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs5BEC2C28">Type</span></p></td><td class="cs37832D10" valign="top" width="198"><p class="cs95E872D0"><span class="cs5BEC2C28">Vermogen [W]<br/>75/65/20</span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs5BEC2C28">Straling [%]</span></p></td><td class="cs300BDAC1" valign="top" width="172"><p class="cs95E872D0"><span class="cs5BEC2C28">Straling<br/>Achterzijde [W]</span></p></td><td class="csF5F0DD8" valign="top" width="175"><p class="cs95E872D0"><span class="cs5BEC2C28">Bolzman [W]</span></p><p class="cs95E872D0"><span class="cs5BEC2C28">Achterzijde</span></p></td></tr>
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs1B16EEB5">Keuken</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs1B16EEB5">11</span></p></td><td class="cs37832D10" valign="top" width="198"><p class="cs95E872D0"><span class="cs1B16EEB5">922</span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs1B16EEB5">35%</span></p></td><td class="cs300BDAC1" valign="top" width="172"><p class="cs95E872D0"><span class="cs1B16EEB5">922 * 0.35/2 = 161</span></p></td><td class="csF5F0DD8" valign="top" width="175"><p class="cs95E872D0"><span class="cs8926E06">156</span></p></td></tr>
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs1B16EEB5">Voor</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs1B16EEB5">21</span></p></td><td class="cs37832D10" valign="top" width="198"><p class="cs95E872D0"><span class="cs1B16EEB5">2412</span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs1B16EEB5">30%</span></p></td><td class="cs300BDAC1" valign="top" width="172"><p class="cs95E872D0"><span class="cs1B16EEB5">2412 * 0.3 / 2 = 361 </span></p></td><td class="csF5F0DD8" valign="top" width="175"><p class="cs95E872D0"><span class="cs8926E06">279</span></p></td></tr>
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs1B16EEB5">Achter</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs1B16EEB5">33</span></p></td><td class="cs37832D10" valign="top" width="198"><p class="cs95E872D0"><span class="cs1B16EEB5">2788</span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs1B16EEB5">16%</span></p></td><td class="cs300BDAC1" valign="top" width="172"><p class="cs95E872D0"><span class="cs1B16EEB5">2788 * 0.16 / 2 = 223</span></p></td><td class="csF5F0DD8" valign="top" width="175"><p class="cs95E872D0"><span class="cs8926E06">196</span></p></td></tr>
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs5BEC2C28">Totaal</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs5BEC2C28"> </span></p></td><td class="cs37832D10" valign="top" width="198"><p class="cs95E872D0"><span class="cs5BEC2C28">922 + 2412 + 2788 = 6122 </span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs5BEC2C28"> </span></p></td><td class="cs300BDAC1" valign="top" width="172"><p class="cs95E872D0"><span class="cs5BEC2C28">161 + 361 + 223 = 745</span><span class="cs1B16EEB5"> </span></p></td><td class="csF5F0DD8" valign="top" width="175"><p class="cs95E872D0"><span class="cs5BEC2C28">156 + 279 + 196 = 631 </span></p></td></tr>
</table>
<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Besparing bij een lage aanvoer temperatuur van 43 graden Celsius</span></p><table class="cs2D2816FE" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;">
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs5BEC2C28">Radiator</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs5BEC2C28">Type</span></p></td><td class="cs13F7489D" valign="top" width="185"><p class="cs95E872D0"><span class="cs5BEC2C28">Vermogen [W]<br/>45/35/20</span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs5BEC2C28">Straling [%]</span></p></td><td class="cs154C11F9" valign="top" width="155"><p class="cs95E872D0"><span class="cs5BEC2C28">Straling<br/>Achterzijde [W]</span></p></td><td class="csD7FCA4FA" valign="top" width="158"><p class="cs95E872D0"><span class="cs5BEC2C28">Bolzman [W]</span></p><p class="cs95E872D0"><span class="cs5BEC2C28">Achterzijde</span></p></td></tr>
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs1B16EEB5">Keuken</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs1B16EEB5">11</span></p></td><td class="cs13F7489D" valign="top" width="185"><p class="cs95E872D0"><span class="cs1B16EEB5">922*(20/50)^1.33=273</span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs1B16EEB5">35%</span></p></td><td class="cs154C11F9" valign="top" width="155"><p class="cs95E872D0"><span class="cs1B16EEB5">273 * 0.35/2 = 48</span></p></td><td class="csD7FCA4FA" valign="top" width="158"><p class="cs95E872D0"><span class="cs8926E06">71</span></p></td></tr>
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs1B16EEB5">Voor</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs1B16EEB5">21</span></p></td><td class="cs13F7489D" valign="top" width="185"><p class="cs95E872D0"><span class="cs1B16EEB5">2412*(20/50)^1.33=713</span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs1B16EEB5">30%</span></p></td><td class="cs154C11F9" valign="top" width="155"><p class="cs95E872D0"><span class="cs1B16EEB5">713 * 0.3 / 2 = 107</span></p></td><td class="csD7FCA4FA" valign="top" width="158"><p class="cs95E872D0"><span class="cs8926E06">126</span></p></td></tr>
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs1B16EEB5">Achter</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs1B16EEB5">33</span></p></td><td class="cs13F7489D" valign="top" width="185"><p class="cs95E872D0"><span class="cs1B16EEB5">2788*(20/50)^1.33=824</span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs1B16EEB5">16%</span></p></td><td class="cs154C11F9" valign="top" width="155"><p class="cs95E872D0"><span class="cs1B16EEB5">824 * 0.16 / 2 = 66</span></p></td><td class="csD7FCA4FA" valign="top" width="158"><p class="cs95E872D0"><span class="cs8926E06">88</span></p></td></tr>
<tr>
<td class="csD4176FE9" valign="top" width="79"><p class="cs95E872D0"><span class="cs5BEC2C28">Totaal</span></p></td><td class="csF96961B9" valign="top" width="65"><p class="cs95E872D0"><span class="cs5BEC2C28"> </span></p></td><td class="cs13F7489D" valign="top" width="185"><p class="cs95E872D0"><span class="cs5BEC2C28">273 + 713 + 824 = 1810 </span></p></td><td class="csB757E656" valign="top" width="97"><p class="cs95E872D0"><span class="cs5BEC2C28"> </span></p></td><td class="cs154C11F9" valign="top" width="155"><p class="cs95E872D0"><span class="cs5BEC2C28">48 + 107 + 66 = 221</span><span class="cs1B16EEB5"> </span></p></td><td class="csD7FCA4FA" valign="top" width="158"><p class="cs95E872D0"><span class="cs5BEC2C28">71 + 126 + 88 = 285 </span></p></td></tr>
</table>
<p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">De verlies vermogens berekend op basis van percentage van het vermogen van de radiatoren, kolom "Straling Achterzijde" en op basis van de stralingswet van Bolzman komen redelijk overeen, voor verdere berekeningen gebruiken we Bolzman (deze zijn berekend in een apart Excel sheet).</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Afgelopen jaar bedroeg het aantal Graaddagen 2774 (bron: <a class="csB4F56505" href="https://www.mindergas.nl/degree_days_calculation"><span class="cs777ED152">https://www.mindergas.nl/degree_days_calculation</span></a></span><span class="cs1B16EEB5"> ).</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Het aantal Graaduren bedraagt dus 24 * 2774.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Bij een temperatuurverschil tussen binnen en buiten van 20 graden Celsius heb ik 2000 Watt nodig om de temperatuur binnen constant te houden. Dus per graad temperatuurverschil heb ik 100 Watt nodig.</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Dus totaal gasverbruik op basis van het verbruik van 100 Watt /Celsius/graaduur bedraagt 24 * 2774 * 100 / 1000 = 6658 kWh</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Dus gasverbruik is 6658 / 10 = 665.8 m3 (dit lijkt een realistische waarde, vóór de isolatie van mijn woonkamer was het verbruik ongeveer 1400 ... 1600 m3 en ik hoopte de helft te gaan besparen).</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">De ratio stralingsvermogen t.o.v. het totale vermogen bedraagt 285 / 1810 = 0.1575 </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Om een schatting te maken van de besparing die bereikt kan worden met radiator folie in de woonkamer, kunnen we deze zelfde ratio toepassen, dus</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Energie besparing : 0.1575 * 6658 = 1049 kWh</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Gas besparing : 1049 / 10 = 105 m3</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">In geld uitgedrukt : 0.80 * 105 = 84 Euro</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Power Law</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"><a class="csB4F56505" href="https://pure.tue.nl/ws/files/1608095/397131020256613.pdf"><span class="cs777ED152">https://pure.tue.nl/ws/files/1608095/397131020256613.pdf</span></a></span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image23.png" width="732" height="791" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs5FC355D3">Screen clipping taken: 09-Feb-19, 23:47</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Power Law toegepast op radiator voorzijde woonkamer:</span></p><table class="cs2D2816FE" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;">
<tr>
<td class="cs8B5296D5" valign="top" width="104"><p class="cs95E872D0"><span class="csDC4A80">Radiator</span></p><p class="cs95E872D0"><span class="csDC4A80">Temperatuur</span></p></td><td class="cs8B5296D5" valign="top" width="104"><p class="cs95E872D0"><span class="csDC4A80">Retour</span></p><p class="cs95E872D0"><span class="csDC4A80">Temperatuur</span></p></td><td class="cs9977E8F2" valign="top" width="74"><p class="cs95E872D0"><span class="csDC4A80">Warmte</span></p><p class="cs95E872D0"><span class="csDC4A80">Afgifte</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs95E872D0"><span class="csDC4A80">Straling</span></p><p class="cs95E872D0"><span class="csDC4A80">Muur=10</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs95E872D0"><span class="csDC4A80">Straling</span></p><p class="cs95E872D0"><span class="csDC4A80">Muur=20</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs95E872D0"><span class="csDC4A80">Straling</span></p><p class="cs95E872D0"><span class="csDC4A80">Muur=30</span></p></td><td class="csC3CBA4E5" valign="top" width="65"><p class="cs95E872D0"><span class="csDC4A80">Power-</span></p><p class="cs95E872D0"><span class="csDC4A80">Law</span></p></td></tr>
<tr>
<td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">40</span></p></td><td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">30</span></p></td><td class="cs9977E8F2" valign="top" width="74"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">181</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">126</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">66</span></p></td><td class="csC3CBA4E5" valign="top" width="65"><p class="cs1157FFE2"><span class="cs1B16EEB5">458</span></p></td></tr>
<tr>
<td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">50</span></p></td><td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">35</span></p></td><td class="cs9977E8F2" valign="top" width="74"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">253</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">199</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">139</span></p></td><td class="csC3CBA4E5" valign="top" width="65"><p class="cs1157FFE2"><span class="cs1B16EEB5">797</span></p></td></tr>
<tr>
<td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">60</span></p></td><td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">45</span></p></td><td class="cs9977E8F2" valign="top" width="74"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">334</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">279</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">219</span></p></td><td class="csC3CBA4E5" valign="top" width="65"><p class="cs1157FFE2"><span class="cs1B16EEB5">1320</span></p></td></tr>
<tr>
<td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">70</span></p></td><td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">50</span></p></td><td class="cs9977E8F2" valign="top" width="74"><p class="cs95E872D0"><span class="cs1B16EEB5">2412**</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">421</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">367</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">307</span></p></td><td class="csC3CBA4E5" valign="top" width="65"><p class="cs1157FFE2"><span class="cs1B16EEB5">1754</span></p></td></tr>
<tr>
<td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">80</span></p></td><td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">60</span></p></td><td class="cs9977E8F2" valign="top" width="74"><p class="cs95E872D0"><span class="cs1B16EEB5"> </span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">517</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">463</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">402</span></p></td><td class="csC3CBA4E5" valign="top" width="65"><p class="cs1157FFE2"><span class="cs1B16EEB5">2381</span></p></td></tr>
<tr>
<td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">90</span></p></td><td class="cs8B5296D5" valign="top" width="104"><p class="cs1157FFE2"><span class="cs1B16EEB5">70</span></p></td><td class="cs9977E8F2" valign="top" width="74"><p class="cs1157FFE2"><span class="cs1B16EEB5">3072</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">621</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">567</span></p></td><td class="cs33CEEDE5" valign="top" width="78"><p class="cs1157FFE2"><span class="cs1B16EEB5">507</span></p></td><td class="csC3CBA4E5" valign="top" width="65"><p class="cs1157FFE2"><span class="cs1B16EEB5">3057</span></p></td></tr>
</table>
<p class="cs14438CD8"><span class="cs5FC355D3">Pasted from <<a class="cs7B98B7A9" href="file:///D:/_Milieu/Glas_temperatuur.xlsx"><span class="cs77704D4E">file:///D:\_Milieu\Glas_temperatuur.xlsx</span></a></span><span class="cs5FC355D3">> </span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image24.png" width="486" height="294" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csD5D7D290"><img src="Radiatoren_files/image25.png" width="323" height="476" alt="" style="border-width:0px;" /></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Kamer 19, alu met en zonder piepschuim 20, folie met of zonder piepschuim 23</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csF19DEE0F">( (273 + 22) ^ 4 - (273 + 19) ^ 4) </span><span class="csE7E7F666">6</span><span class="csF19DEE0F">10^-8 is? </span></p><p class="cs14438CD8"><span class="csF19DEE0F">En dat is 0.18W</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Per m2 = dat een factor 100 hoger dus 18W,</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Maar ,,,,</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">+ 5% van de ingestraalde energie</span></p><p class="cs14438CD8"><span class="cs1B16EEB5">'- convectie aan beide zijde naar de lucht</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Heat transfer coefficient = 5</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">2 * 0.01 * ( 22 - 19 ) = 0.06 </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="csA27DA275">Literatuur Oninteressant</span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5">Zeer langdradig verhaal: <a class="csB4F56505" href="https://dermotwhelanconstruction.com/formula-teplootdachi-radiatora"><span class="cs777ED152">https://dermotwhelanconstruction.com/formula-teplootdachi-radiatora</span></a></span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs14438CD8"><span class="cs1B16EEB5"> </span></p><p class="cs95E872D0"><span class="csCF6BBF71"> </span></p><p class="cs95E872D0"><span class="cs7FC7682D">Created with Microsoft Office OneNote 2007<br/>One place for all your notes and information</span></p></body>
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