The image above represents discharge | Chezy’s Equation.

To compute for discharge, four essential parameters are needed and these parameters are **Area (A), Chezy’s Constant (C), Hydraulic Radius (R)** and** Slope (S).**

The formula for calculating discharge:

Q = AC√(RS)

Where;

Q = Discharge

A = Area

C = Chezy’s Constant

R = Hydraulic Radius

S = Slope

Let’s solve an example;

Find the discharge when the area is 25, the chezy’s constant is 16, the hydraulic radius is 9 and the slope is 21.

This implies that;

A = Area = 25

C = Chezy’s Constant = 16

R = Hydraulic Radius = 9

S = Slope = 21

Q = AC√(RS)

Q = (25)(16)√((9)(21))

Q = (25)(16)√(189)

Q = (25)(16)(13.74)

Q = 5499.09

Therefore, the **discharge** according to **Chezy’s equation** is **5499.09**.

**Calculating the Area when the Discharge, the Chezy’s Constant, the Hydraulic Radius and the Slope is Given.**

A = ^{Q} / _{C √RS}

Where;

A = Area

Q = Discharge

C = Chezy’s Constant

R = Hydraulic Radius

S = Slope

Let’s solve an example;

Find the area when the discharge is 40, the chezy’s constant is 10, the hydraulic radius is 5 and the slope is 9.

This implies that;

Q = Discharge = 40

C = Chezy’s Constant = 10

R = Hydraulic Radius = 5

S = Slope = 9

A = ^{Q} / _{C √RS}

A = ^{40} / _{10 √(5)(9)}

A = ^{40} / _{10 √45}

A = ^{40} / _{10 (6.708)}

A = ^{40} / _{67.08}

A = 0.596

Therefore, the **area **is **0.596.**

Continue reading How to Calculate and Solve for Discharge | Chezy’s Equation | Water Budget