Fluid Mechanics
Water flowing through an 8-cm-diameter pipe enters a porous section, as in Fig. P3.10, which allows a uniform radial vel
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Water flowing through an 8-cm-diameter pipe enters a porous section, as in Fig. P3.10, which allows a uniform radial velocity vw through the wall surfaces for a distance of 1.2 m. If the entrance average velocity V1 is 12 m/s, find the exit velocity V 2 if: (a) vw = 15 cm/s out of the pipe walls (b) vw = 10 cm/s into the pipe (c) What value of vw will make V2 = 9 m/s?
A w = π Dp λ
Given 2
Ap =
π Dp 4
Qw = Aw vel w
A p vel 1 = Qw + A p vel 2
vel2 Q w Aw Ap
Dp vel1 - 4 λ vel w Dp π D p λ vel w := Find (vel 2 ,Qw ,A w ,Ap) π Dp λ 2 π Dp 4 λ :=1.2m
D p :=8cm
vel 2 (velw ) := vel2
vel w :=400
cm s
vel 1 := 12
m s
15 cm -10 s
vel w :=
D p vel 1 - 4 λ velw
3.0 m 18.0 s
vel 2 (velw ) =
Dp
ϖ2 :=9
m s
Given
vel 2 (velw ) = ϖ2 vel w :=Find (vel w ) vel w = 5.00
P3.10.xmcd
9/3/2010
cm s
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