Apply the conservation of volume (see Prob. 1.9) to simulate the level of liquid in a conical
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Apply the conservation of volume (see Prob. 1.9) to simulate the level of liquid in a conical storage tank (Fig. P1.11). The liquid flows in at a sinusoidal rate of Qin = 3 sin2(t) and flows out according to
Q out = 3(y – yout)1.5y > yout
Q out = 0 y ≤ yout
where flow has units of m3/d and y 5 the elevation of the water surface above the bottom of the tank (m). Use Euler’s method to solve for the depth y from t 5 0 to 10 d with a step size of 0.5 d. The parameter values are rtop = 2.5 m, ytop = 4 m, and yout = 1 m. Assume that the level is |initially below the outlet pipe with y(0) 5 0.8 m.
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Numerical Methods for Engineers
ISBN: 978-9352602131
7th edition
Authors: Steven C. Chapra, Raymond P. Canale
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