smooth, flat plate of length and wid is placed in water with an upstream velocity of U Determine the boundary layer thickness and the wall at the center and the trailing edge of the plate. Assum boundary layer.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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9.21 A smooth, flat plate of length = 6 m and width b = 4 m
is placed in water with an upstream velocity of U= 0.5 m/s.
Determine the boundary layer thickness and the wall shear stress
at the center and the trailing edge of the plate. Assume a laminar
boundary layer.
9.22 An atmospheric boundary layer is formed when the wind
blows over the earth's surface. Typically, such velocity profiles
can be written as a power law: u=ay, where the constants a and
n depend on the roughness of the terrain. As is indicated in Fig.
P9.22, typical values are n = 0.40 for urban areas, n = 0.28 for
woodland or suburban areas, and n = 0.16 for flat open country
(Ref. 23). (a) If the velocity is 20 ft/s at the bottom of the sail on
your boat (y= 4 ft), what is the velocity at the top of the mast
(y 30 ft)? (b) If the average velocity is 10 mph on the tenth
450
0.28
E 300
150
FIGURE P9.22
Transcribed Image Text:9.21 A smooth, flat plate of length = 6 m and width b = 4 m is placed in water with an upstream velocity of U= 0.5 m/s. Determine the boundary layer thickness and the wall shear stress at the center and the trailing edge of the plate. Assume a laminar boundary layer. 9.22 An atmospheric boundary layer is formed when the wind blows over the earth's surface. Typically, such velocity profiles can be written as a power law: u=ay, where the constants a and n depend on the roughness of the terrain. As is indicated in Fig. P9.22, typical values are n = 0.40 for urban areas, n = 0.28 for woodland or suburban areas, and n = 0.16 for flat open country (Ref. 23). (a) If the velocity is 20 ft/s at the bottom of the sail on your boat (y= 4 ft), what is the velocity at the top of the mast (y 30 ft)? (b) If the average velocity is 10 mph on the tenth 450 0.28 E 300 150 FIGURE P9.22
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