2. You are working for a glider manufacturer and have been asked to analyse the laminar boundary layer at a certain point on the smooth wing. The velocity profile at this point, u(y), is given by: 3 = 3 (²) ² -² (1)²³ +4 () 2 น == Us A + B where 8 is the boundary-layer thickness and us is the velocity at the edge of the boundary layer. A and B are constants. a) Determine the values of A and B such that the primary boundary conditions for the velocity profile are satisfied. Is it necessary to apply any auxiliary boundary conditions?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Please answer part a)
2.
You are working for a glider manufacturer and have been asked to
analyse the laminar boundary layer at a certain point on the smooth
wing. The velocity profile at this point, u(y), is given by:
น
us
2
3
= 3 (1) ² - 2 (²) ³ + A (15) -
(13)
=
+B
where is the boundary-layer thickness and us is the velocity at the
edge of the boundary layer. A and B are constants.
a) Determine the values of A and B such that the primary boundary
conditions for the velocity profile are satisfied. Is it necessary to apply
any auxiliary boundary conditions?
Transcribed Image Text:2. You are working for a glider manufacturer and have been asked to analyse the laminar boundary layer at a certain point on the smooth wing. The velocity profile at this point, u(y), is given by: น us 2 3 = 3 (1) ² - 2 (²) ³ + A (15) - (13) = +B where is the boundary-layer thickness and us is the velocity at the edge of the boundary layer. A and B are constants. a) Determine the values of A and B such that the primary boundary conditions for the velocity profile are satisfied. Is it necessary to apply any auxiliary boundary conditions?
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