Explore BrainMass
Share

Explore BrainMass

    Find depth of water flow in Rectangular channel

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    © BrainMass Inc. brainmass.com October 10, 2019, 6:54 am ad1c9bdddf
    https://brainmass.com/engineering/transport-engineering/find-depth-water-flow-rectangular-channel-560548

    Solution Preview

    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

    Continuity:
    Q = A.v
    => v1 = Q/A1 = Q/(h1.w1) = 25/(2*5) = 2.5 m/s

    Energy,
    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 + ...

    Solution Summary

    Water flow through a rectangular channel - width of choking is estimated.

    $2.19