DYMAMICS OF FLUID FLOW
Problems :
 
  1. In order to measure the volume flow rate in a rectangular channel flow, the width is reduced gradually from 4m to 2.5m and the floor is raised by 0.4m at a given section. If the depth of flow approaching the channel is 2m, then determine the rate of flow indicated by 1.8m drop in water surface elevation.
  2. A trapezoidal section of base width 6m and side slopes of 27 0 carries a flow at a depth of 2.5m. There is a smooth transition of flow from trapezoidal section to rectangular section of 6m width.
    1. If the channel bed is horizontal, determine whether the upstream flow is possible as specified; if not determine the upstream depth of the flow.
    2. Determine the minimum amount by which the bed must be lowered for the upstream flow to be possible as specified.
    3. Determine the depth of flow in the rectangular section and change in the water surface level if the transition is accompanied by gradual lowering of the channel bed by 0.6m.
    4. Determine the amount by which the bed must be lowered if the drop in water surface is to be restricted to 0.3m.
  3. Calculate the possible depths of flow in a rectangular channel 3.5m wide with specific energy of 3m for a discharge of .
  4. Water flows at a velocity of 0.9m/s and a depth of 1.8m in an open channel of rectangular cross-section of 3m width. At a certain section, the width is reduced to 1.7m and the bed is raised by 0.5m. To what extent, will the upstream depth be affected?
  5. A trapezoidal channel with side slopes of 1 in 1 has to be designed to convey at a velocity of 2m/s so that the amount of concrete lining for the bed and sides is minimum. Calculate the area of the lining required per meter length of the canal.
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