My watch list

Prony equation

It has been suggested that this article or section be merged into Frictional pressure drop. (Discuss)

The Prony equation is a historically important equation in hydraulics, used to calculate the head loss due to friction within a given run of pipe. It is an empirical equation developed by Frenchman Gaspard de Prony in the 19th century:

$h_f = \frac{L}{D} (aV + bV^2)$

Additional recommended knowledge

What is the Sensitivity of my Balance?

Safe Weighing Range Ensures Accurate Results

Daily Sensitivity Test

where h_f is the head loss due to friction, calculated from: the ratio of the length to diameter of the pipe L/D, the velocity of the flow V, and two empirical factors a and b to account for friction.

This equation has been supplanted in modern hydraulics by the Darcy-Weisbach equation, which used it as a starting point.

Category: Equations of fluid dynamics