Fluid Mechanics seventh edition by Frank M. White · Problem 3.5

Integral Relations for a Control Volume — Frank M. White

Physics — Fluid Mechanics · unsteady-mass-conservation

Problem

The tank in Fig. E3.5 is being filled with water by two one-dimensional inlets. Air is trapped at the top of the tank. The water height is hh. (a) Find an expression for the change in water height dh/dtdh/dt. (b) Compute dh/dtdh/dt if D1=1D_1 = 1 in, D2=3D_2 = 3 in, V1=3V_1 = 3 ft/s, V2=2V_2 = 2 ft/s, and At=2A_t = 2 ft2^2, assuming water at 20°C.

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