A reasonable approximation for the two-dimensional incompressible laminar boundary layer on a flat surface in Figure Q2 on the next page is (2y u = U for ys8 82 where, 8 = Cx'/² and C = const a) Assuming a no-slip condition at the wall, find an expression for the velocity ди ди д8 component v(x, y) for y s 8. (Hint: dx as əx :) b) Also, find the maximum value of v at the station x = 1 m, for the particular case of air flow, when U = 3 m/s and 8 = 1.1 cm.
A reasonable approximation for the two-dimensional incompressible laminar boundary layer on a flat surface in Figure Q2 on the next page is (2y u = U for ys8 82 where, 8 = Cx'/² and C = const a) Assuming a no-slip condition at the wall, find an expression for the velocity ди ди д8 component v(x, y) for y s 8. (Hint: dx as əx :) b) Also, find the maximum value of v at the station x = 1 m, for the particular case of air flow, when U = 3 m/s and 8 = 1.1 cm.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Question 2
A reasonable approximation for the two-dimensional incompressible laminar
boundary layer on a flat surface in Figure Q2 on the next page is
u (-)
y< 8
u =
for
82
where,
8 = Cx/2 and C = const
a)
Assuming a no-slip condition at the wall, find an expression for the velocity
ди д8
:)
ди
component v(x, y) for y < 8.
(Hint:
ax
--
as ax
b)
Also, find the maximum value of v at the station x = 1 m, for the particular
case of air flow, when U = 3 m/s and 8 = 1.1 cm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe85cce5-9ee9-4465-b1cb-6a3967371703%2F38f3f8f4-9c66-4dc7-8036-4eed4f9ea738%2Fuggimao_processed.png&w=3840&q=75)
Transcribed Image Text:Question 2
A reasonable approximation for the two-dimensional incompressible laminar
boundary layer on a flat surface in Figure Q2 on the next page is
u (-)
y< 8
u =
for
82
where,
8 = Cx/2 and C = const
a)
Assuming a no-slip condition at the wall, find an expression for the velocity
ди д8
:)
ди
component v(x, y) for y < 8.
(Hint:
ax
--
as ax
b)
Also, find the maximum value of v at the station x = 1 m, for the particular
case of air flow, when U = 3 m/s and 8 = 1.1 cm.
![Layer thickness d(x)
U = constant
u(x, y)
u(x. y)
Figure Q2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe85cce5-9ee9-4465-b1cb-6a3967371703%2F38f3f8f4-9c66-4dc7-8036-4eed4f9ea738%2F3n8yx1l_processed.png&w=3840&q=75)
Transcribed Image Text:Layer thickness d(x)
U = constant
u(x, y)
u(x. y)
Figure Q2
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