Fluid Mechanics seventh edition by Frank M. White · Problem P3.24

Integral Relations for a Control Volume — Frank M. White

Physics — Fluid Mechanics · unsteady-continuity-control-volume

Problem

Water enters the bottom of the cone in Fig. P3.24 at a uniformly increasing average velocity

V = Kt

. If

d

is very small, derive an analytic formula for the water surface rise

h(t)

for the condition

h = 0

t = 0

. Assume incompressible flow.