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.
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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb69def85-523f-4452-beb8-4a9eeda00146%2F89e85da5-3596-4c72-8e65-5a7fe751bb37%2Fqg76g0l_processed.jpeg&w=3840&q=75)
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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