ho A L d hy Figure Q2: Tank with drainage pipe (Question 2).
Question 2
A large vat contains water, which contains a drainage pipe at a height h1, as shown in
figure 2. The drainage pipe has a length L. = 0.4 m, and a radius R = 15 mm, and releases
water to the atmosphere at a flow rate Q. The connection between the pipe and the vat
wall has a loss coefficient of KL = 0.8.
Point A is in the middle of the tank at a height, hi.
You can assume that the flow in the drainage pipe is fully developed and laminar. The density of water is p = 1000 kg/m° and the viscosity is u = 1 mPa.s. The acceleration due to gravity is 9.81 m/s?
a) Find an expression for the pressure at point A.
b) Find an expression in terms of Q, L, d, K, p and u for the pressure losses along the pipe (including the losses at the inlet and exit).
c) If the flowrate out of the drainage tank is Q = 50 L/min, find ho. You may assume
any change of ho with time is negligible.
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