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Chezy Equation

Mean flow velocity within pipes with turbulent flow

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Contents

Overview
Theory
Page Comments

Key Facts

Gyroscopic Couple: The rate of change of angular momentum ( $\inline \tau$ ) = $\inline I\omega\Omega$ (In the limit).

$\inline I$ = Moment of Inertia.
$\inline \omega$ = Angular velocity
$\inline \Omega$ = Angular velocity of precession.

Overview

The Chezy equation applied to pipes with turbulent flow is

$v=C\sqrt{mi}$

(2)

where

i is $\inline \displaystyle \frac{h_f}{l}$ or head loss due to fiction over the pipe length,
m is $\inline \displaystyle \frac{A}{P}$ or wetted area divided by the wetted perimeter,
and C is $\inline \displaystyle \sqrt{\frac{2g}{f}}$ where f is the coefficient of friction.

Theory

For the flow of a fluid within a pipe with velocity (v), there will be a reduction in mean pressure with distance, which is usually referred to as "head loss".