Question A3 In the usual notations the velocity distribution in a laminar boundary layer forming on a thin equilateral triangle plate (Figure Q-A3) is approximated as: U-Asin()+B 12 m Figure Q-A3 a) By using appropriate boundary conditions determine A and B in terms of Us: [2 marks] b) For the above velocity distribution, compute 8/8;
Question A3 In the usual notations the velocity distribution in a laminar boundary layer forming on a thin equilateral triangle plate (Figure Q-A3) is approximated as: U-Asin()+B 12 m Figure Q-A3 a) By using appropriate boundary conditions determine A and B in terms of Us: [2 marks] b) For the above velocity distribution, compute 8/8;
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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![Question A2 continued
a) By using appropriate assumptions simplify the conservation of mass and
momentum of the incompressible Navier-Stokes equations. All the assumptions
and the simplified equations should be written;
[10 marks]
b) By using appropriate boundary conditions find the velocity distribution in the two
layers.
[15 marks]
Question A3
In the usual notations the velocity distribution in a laminar boundary layer forming on a thin
equilateral triangle plate (Figure Q-A3) is approximated as: U=Asin()+B
xy
28'
12 m
Air at 27 C
and 1 atm
2m
2m
1-cos(2a)
2
2 m
Figure Q-A3
a) By using appropriate boundary conditions determine A and B in terms of Us:
[2 marks]
b) For the above velocity distribution, compute 8/8;
[5 marks]
c) Using the momentum integral equation, find an expression for the wall shear stress
as a function of fluid properties, Usand x;
[8 marks]
d) If this plate is immersed parallel to a 12 m/s stream of air at 1 atm and 27° C, as is
shown in Figure Q-A3, assuming laminar flow, estimate the drag of this plate (in N).
1 atm = 10³ N/m², u=1.84×105 Ns/m². You may find this information useful:
sin² a
[10 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97169250-b02b-4db2-9610-24afc15ffb22%2F49b4830f-05d1-44ac-a7f1-e0967fb196d8%2Fxeuklpb_processed.png&w=3840&q=75)
Transcribed Image Text:Question A2 continued
a) By using appropriate assumptions simplify the conservation of mass and
momentum of the incompressible Navier-Stokes equations. All the assumptions
and the simplified equations should be written;
[10 marks]
b) By using appropriate boundary conditions find the velocity distribution in the two
layers.
[15 marks]
Question A3
In the usual notations the velocity distribution in a laminar boundary layer forming on a thin
equilateral triangle plate (Figure Q-A3) is approximated as: U=Asin()+B
xy
28'
12 m
Air at 27 C
and 1 atm
2m
2m
1-cos(2a)
2
2 m
Figure Q-A3
a) By using appropriate boundary conditions determine A and B in terms of Us:
[2 marks]
b) For the above velocity distribution, compute 8/8;
[5 marks]
c) Using the momentum integral equation, find an expression for the wall shear stress
as a function of fluid properties, Usand x;
[8 marks]
d) If this plate is immersed parallel to a 12 m/s stream of air at 1 atm and 27° C, as is
shown in Figure Q-A3, assuming laminar flow, estimate the drag of this plate (in N).
1 atm = 10³ N/m², u=1.84×105 Ns/m². You may find this information useful:
sin² a
[10 marks]
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