Fluid Mechanics seventh edition by Frank M. White · Problem 3.10

Integral Relations for a Control Volume — Frank M. White

Physics — Fluid Mechanics · conservation-of-mass

Problem

Water flowing through an 8-cm-diameter pipe enters a porous section, as in Fig. P3.10, which allows a uniform radial velocity

v_w

through the wall surfaces for a distance of 1.2 m. If the entrance average velocity

V_1

is 12 m/s, find the exit velocity

V_2

(a)

v_w = 15

cm/s out of the pipe walls or

(b)

v_w = 10

cm/s into the pipe.

(c)

What value of

v_w

will make

V_2 = 9

m/s?