Answered: Air flow at a constant speed (Ug = 10…

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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Transcribed Image Text:Air flow at a constant speed (Ug = 10 m/s) is forming a two-dimensional incompressible laminar boundary layer along a flat plate The velocity profile inside the boundary layer is given by: -2²-² a) Determine the shear stress at the wall, at y = 3 mm and y = 10 mm. b) Calculate the boundary layer displacement thickness. c) Calculate the mass flow rate through the boundary layer per unit width.

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d) Calculate the mass flow rate per unit width of an ideal flow going through the same height as the boundary layer thickness.

e) Through calculation relate the difference between the mass flow rates in parts (c) and (d) to the local boundary layer displacement thickness. In not more than 60 word justify your answer. Use sketch(s) to illustrate your justification.
f) Does the assumed velocity profile satisfy the pressure boundary condition? In not more than 30-40 words and including the use of an appropriate equation justify your answer.

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