Thanks in advance. The cylindrical tank with radius R is mounted on the ground w
ID: 1860651 • Letter: T
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Thanks in advance.
The cylindrical tank with radius R is mounted on the ground with the axis of the cylinder being perpendicular to the ground. The tank has a circular open outlet of diameter d at the bottom, and the fluid is supplied to the tank with the constant flow rate Qin. The model equation describing the fluid level h(t) is given by the lst-order differential equation: dh/dt = 1/ pi R2 { Qin - Cd Ad 2gh} where Cd is a flow constant; g is a gravitational constant; and A( is a cross section area of the outlet. The tank is initially empty h = 0 m at t = 0 s. Choose R = 0.5 m, Cd = 0.8 and g = 9.81 m2/s. With the outlet size d = 2.5 cm, simulate the model for different inflow rates Qin = {0.001 m3/s, 0.002 m3/s, 0.003 m3/s}. Plot all solutions in one single figure for 0Explanation / Answer
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