Question

determine the critical depth and flow condition (sub or super critical) in a triangle channel with the side slope of 1:1, depth of 2 ft, and v= 5.28 ft/s

Answer 1

To determine the critical depth and flow condition in a triangle channel, use the Manning's Equation. The flow condition is determined by comparing the flow speed with the critical speed.

Step-by-step explanation:

To determine the critical depth and flow condition in a triangle channel, we can use the Manning's Equation. The critical depth occurs when the flow speed equals the wave speed. In this case, the wave speed can be calculated using the Manning's Equation:

v = sqrt(g * R * S)

where v is the flow speed, g is the acceleration due to gravity (9.8 m/s^2), R is the hydraulic radius, and S is the slope of the channel. Given the side slope of 1:1, we can calculate the hydraulic radius:

R = A/P

where R is the hydraulic radius, A is the cross-sectional area of the channel and P is the wetted perimeter.

Once we have the critical depth and calculate the flow speed, we can determine if the flow condition is subcritical or supercritical. If the flow speed is less than the critical speed, the flow condition is subcritical. If the flow speed is greater than the critical speed, the flow condition is supercritical.