Water is flowing in a rectangular channel whose width is 5m. The depth of flow is 2m and the discharge is 25m3/sec. Determine:
(a) Depth of flow at a point downstream where the width of the channel increases to 5.5 m
(b) Depth of flow at a point downstream where the width of the channel decreases to 4.75 m
(c) At what width will this channel become choked?
(d) Describe the impact on the flow profile if the channel becomes narrower than the width found in part (c) above
Width of channel, w1 = 5m
Depth of flow, h1 = 2 m
discharge, Q = 25 m^3/s
Gravitational acceleration, g = 9.8 m/s^2
Area of cross-section, A = h.w
Q = A.v
=> v1 = Q/A1 = Q/(h1.w1) = 25/(2*5) = 2.5 m/s
E = h + v^2/(2.g) = h + (Q/A)^2/(2.g) = h + Q^2/(2.g.A^2)= h + Q^2/(2.g.h^2.w^2)
=> E = h1 + ...
Water flow through a rectangular channel - width of choking is estimated.