Fluid Mechanics seventh edition by Frank M. White · Problem 3.14

Integral Relations for a Control Volume — Frank M. White

Physics — Fluid Mechanics · conservation-of-mass

Problem

The open tank in Fig. P3.14 contains water at 20°C and is being filled through section 1. Assume incompressible flow. First derive an analytic expression for the water-level change

dh/dt

in terms of arbitrary volume flows

(Q_1, Q_2, Q_3)

and tank diameter

d

. Then, if the water level

h

is constant, determine the exit velocity

V_2

for the given data

V_1 = 3

m/s,

D_1 = 5

cm,

D_2 = 7

cm, and

Q_3 = 0.01

^3

/s.

Related theory

conservation-of-mass

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