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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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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.
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
Transcribed Image Text:Layer thickness d(x) U = constant u(x, y) u(x. y) Figure Q2
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