# Chezy Equation

on . Posted in Fluid Dynamics

Chezy equation, abbreviated as Ch, also called Chezy-Manning equation, is an empirical formula used in open channel hydraulics to calculate the average velocity of flow in a channel.  It applies to the steady velocity with turbulent flow in a open channel, such as a river or a pipe.

The Chezy equation is widely used in engineering practice for various applications, including the design of open channels, estimation of flow rates, and analysis of water flow in rivers, canals, and drainage systems.  It provides a simple relationship between flow velocity, hydraulic radius, and channel slope, allowing engineers to make estimates and calculations for hydraulic design purposes.

### Chezy Equation

$$v = C \; \sqrt{ r_h \; m }$$     (Chezy Equation)

$$C = v \;/\; \sqrt{ r_h \; m }$$

$$rh = (1 \;/\; m) \; ( v \;/\; C )^2$$

$$m = (1 \;/\; rh) \; ( v \;/\; C )^2$$

### Solve for v

 Chezy coefficient, C hydraulic radius, rh slope, m

### Solve for C

 velocity, v hydraulic radius, rh slope, m

### Solve for rh

 slope, m velocity, v Chezy coefficient, C

### Solve for m

 hydraulic radius, rh velocity, v Chezy coefficient, C

Symbol English Metric
$$v$$ = flow velocity $$ft \;/\; sec$$ $$m \;/\; s$$
$$C$$ = Chezy coefficient $$dimensionless$$
$$r_h$$ = hydraulic radius $$ft$$ $$m$$
$$m$$ = slope $$ft$$ $$m$$