Assume the following channel slopes occur in a prismatic open channel depicted in Figure 5. Note where the water surface begins on the left. Number the water surface curves with a 1 if the water surface is above both ye and yo, 2 if the water surface is between ye and yo, and 3 if the water surface is below both ye and yo. Figure 5: Engineered channel profile view Determine • Label y, and yo for each reach (state if yo is infinite). • Label the bed slopes. • Label the control points. • Draw a possible gradually varied flow profile and label all the curves (letter and number). Free overfall

a.) Q=0.56m/s. V=1.16m/s b.)D=420mm. q=5.5x10^-3m^3/s That is the answer need some solutions

4.65. Derive an expression relating the conjugate depths in a hydraulic jump when the slope of the channel is equal to So. [Hint: Assume that the length of the jump is equal to 5y2, and that the shape of the jump between the upstream and downstream depths can be approximated by a trapezoid.]

a water resource engineer is in charge of designing atrapezoidal open channel for flood control. Typically, these types of channels are made ofconcrete. Use Manning’s Equation.Flowrate (Qb), channel slope (S0), bottom width (Bw), channel sidewall angle (θ), actual depth(y), and Manning’s coefficient (n) are tabulated below. State all assumptions. * z is the sidewall ratio: for every 1 unit increase in depth, the top width increases by z on eachside of the channel, or 2z total.A) Given the actual depth, y = 1.25 ft, find the discharge Qa.B) Find the Critical Depth, yc, for the discharge Qa found in (a). For a trapezoid,dA/dy =Bw +2 yz .Is the flow sub- or super-critical?C) Determine the uniform flow normal depth (yn) at Qb = 209 cfs.D) If the slope is increased to 0.001, what roughness coefficient would be needed tomaintain the same discharge Qa? What about for Qb? Would it be the same value?