U₂ = 2²-² 2.0 m (Equation 1) 4 B 10.0 m 10.0 m Figure Q1-2 Question 2 Air flow at a constant speed (Us = 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: 2.0 m U8 At x = 1.00 m, the boundary layer thickness is given as 6.6094 mm. At this location: 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. 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.
U₂ = 2²-² 2.0 m (Equation 1) 4 B 10.0 m 10.0 m Figure Q1-2 Question 2 Air flow at a constant speed (Us = 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: 2.0 m U8 At x = 1.00 m, the boundary layer thickness is given as 6.6094 mm. At this location: 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. 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.
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
Related questions
Question
Transcribed Image Text:2.0 m
7:
10.0 m
= 2²-²²
Us
B
10.0 m
Figure Q1-2
Question 2
Air flow at a constant speed (Us = 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:
2.0 m
(Equation 1)
At x = 1.00 m, the boundary layer thickness is given as 6.6094 mm. At this location:
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.
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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