2.1. Chezy Equation and Coefficient

Try these first

1. 1.

   What does the Chezy equation help us calculate?

   Hint

   Think about what you observe in water flow.

2. 2.

   Define hydraulic radius.

   Hint

   Remember how we calculate the area.

3. 3.

   What is the equation used to find velocity in open channels according to Chezy's formula?

   • V = R_h S^{1/2}
   • V = C√R_h S^{1/2}
   • V = R_h^{2/3} S^{1/2}

   Hint

   Remember the relationship between velocity and flow characteristics.

4. 4.

   True or False: The hydraulic radius increases with the wetted perimeter.

   • True
   • False

   Hint

   Think about the ratio of area to perimeter.

5. 5.

   A rectangular open channel has a width of 5 m and a depth of 2 m. Calculate the flow velocity in the channel if the slope is 0.001 and the Manning’s roughness coefficient is 0.02. Use Manning's equation for your calculation.

   Hint

   Remember to calculate area, wetted perimeter, and hydraulic radius first.

6. 6.

   Consider a trapezoidal channel where the bottom is 4 m, side slopes are 1:2, and the depth is 3 m. Calculate the area and the flow rate given that the slope is 0.002 and n is 0.015.

   Hint

   Focus first on determining area and wetted perimeter.