4.1.20 A constant-density fluid flows in the converging, two- dimensional channel shown in Fig. P4.1.20. The width perpendic- ular to the paper is quite large compared to the channel height. The velocity in the z direction is zero. The channel half-height, Y, and the fluid x velocity, u, are given by u = 4, (1+ )[1- (4)'] Yo and Y = 1+x/e Y where x, y, Y, and l are in meters, u is in m/s, uo = 1.0 m/s, and Yo =
4.1.20 A constant-density fluid flows in the converging, two- dimensional channel shown in Fig. P4.1.20. The width perpendic- ular to the paper is quite large compared to the channel height. The velocity in the z direction is zero. The channel half-height, Y, and the fluid x velocity, u, are given by u = 4, (1+ )[1- (4)'] Yo and Y = 1+x/e Y where x, y, Y, and l are in meters, u is in m/s, uo = 1.0 m/s, and Yo =
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Transcribed Image Text:4.1.20 A constant-density fluid flows in the converging, two-
dimensional channel shown in Fig. P4.1.20. The width perpendic-
ular to the paper is quite large compared to the channel height. The
velocity in the z direction is zero. The channel half-height, Y, and the
fluid x velocity, u, are given by
Yo
Y =
1+x/e
and
u = Uo ( 1 +
Y
= 1.0 m/s, and Yo =
where x, y, Y, and l are in meters, u is in m/s, uo
1.0 m. (a) Is this flow steady or unsteady? Is it one-dimensional,
two-dimensional, or three-dimensional? (b) Plot the velocity distri-
bution u (y) at x/€ = 0, 0.5, and 1.0. Use y/Y values of 0, +0.2, ±0.4,
=
+0.6, ±0.8, and +1.0.
y
Yo = 1.0 m
Y(x)
u(х, у)
Ye = 0.5 m
e = 5.0 m
FIGURE P4.1.20 Two-dimensional channel.
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