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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(²₁²-2₁) + A(²) + B น Us 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? b) Evaluate the boundary-layer shape factor, H. c) At the point of separation, the wall shear stress goes from positive to negative. Thus, show that the boundary layer at this location is on the point of separating.

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(²₁²-2₁) + A(²) + B น Us 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? b) Evaluate the boundary-layer shape factor, H. c) At the point of separation, the wall shear stress goes from positive to negative. Thus, show that the boundary layer at this location is on the point of separating.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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could you plaese answaer these qestions please 

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/-)²³ - 1) + B + A 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? b) Evaluate the boundary-layer shape factor, H. c) At the point of separation, the wall shear stress goes from positive to negative. Thus, show that the boundary layer at this location is on the point of separating.
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/-)²³ - 1) + B + A 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? b) Evaluate the boundary-layer shape factor, H. c) At the point of separation, the wall shear stress goes from positive to negative. Thus, show that the boundary layer at this location is on the point of separating.
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