Question A2 continueda) By using appropriate assumptions simplify the conservation of mass andmomentum of the incompressible Navier-Stokes equations. All the assumptionsand the simplified equations should be written;[10 marks]b) By using appropriate boundary conditions find the velocity distribution in the twolayers.[15 marks]Question A3In the usual notations the velocity distribution in a laminar boundary layer forming on a thinequilateral triangle plate (Figure Q-A3) is approximated as: U=Asin()+Bxy28'12 mAir at 27 Cand 1 atm2m2m1-cos(2a)22 mFigure Q-A3a) 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 stressas 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 isshown 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]

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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