me22b060.tex

\section{me22b060}
\begin{center}
\huge{Prony's Equation}  
\end{center}

The Prony equation \footnote{https://en.wikipedia.org/wiki/Prony_equation}
is a historically important equation in hydraulics, used to calculate the head loss due to friction within a given run of pipe.This equation has been supplanted in modern hydraulics by the Darcy–Weisbach equation, which used it as a starting point.

\footnote{Reference:Simmons, Craig (2007), "Henry Darcy (1803–1858): Immortalised by his scientific legacy", in Chery, Laurence (ed.), Aquifer Systems Management: Darcy's Legacy in a World of Impending Water Shortage: Selected Papers from the International Association of Hydrogeologists (IAH) Dijon Symposium, Dijon, France, 30 May–1 June 2006, Leiden, The Netherlands: Taylor & Francis / Balkema, pp. 3–24, ISBN 9780415443555. The Prony equation and its replacement by the Darcy–Weisbach equation are on pp. 11–12}

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  {\huge \[h_f = L/D(aV+bV^2)\]} 
\\
where
\\
\begin{itemize}
    \item $h_f$ is the heat loss due to friction
    \item L is the Length of the pipe
    \item D is the diameter of the pipe
    \item V is the velocity of the flow
    \item a,b are empirical factors
\end{itemize}    


\begin{flushleft}
NAME:Kousikan KJ\\
GITHUB USER NAME:Kousikan-sys
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