Civil Engineering Figure 4 shows a barrel of a diameter, D, with an outlet of diameter, d,

Civil Engineering

 

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Figure 4 shows a barrel of a diameter, D, with an outlet of diameter, d, at the bottom. Flow, Q, is added to the barrel through pipe T. a) Assuming the flow is steady and incompressible, derive equations for velocities, at point T (VT) and at point B (VB) of the barrel. Apply the Bernoulli equation and continuity equation to illustrate your answer. b) Determine the flow from a Pipe T in order to maintain the height H. c) When the height, H, is reduced, the velocity VB at the bottom of the barrel will also be reduced. Justify this statement by assuming there are no changes in the barrel diameter, D and outlet diameter, d. T PIPE T D B H Figure 4 shows a barrel of a diameter, D, with an outlet of diameter, d, at the bottom. Flow, Q, is added to the barrel through pipe T. a) Assuming the flow is steady and incompressible, derive equations for velocities, at point T (VT) and at point B (VB) of the barrel. Apply the Bernoulli equation and continuity equation to illustrate your answer. b) Determine the flow from a Pipe T in order to maintain the height H. c) When the height, H, is reduced, the velocity VB at the bottom of the barrel will also be reduced. Justify this statement by assuming there are no changes in the barrel diameter, D and outlet diameter, d. T PIPE T D B H