Problem 6 Air at atmospheric pressure and room temperature (27 C) flows over a flat plate at a speed of 2 m/s. The length of the plate is 0.5 m. Find the thickness of the boundary layer at the middle of the plate (x = 25 cm) and at the trailing edge (x = L).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Use the result of Problem 3 and find the y-component of velocity over the plate of Problem 6 at the outer edge of the boundary layer for two locations; a) the middle of the plate and b) the trailing edge of the plate.

Problem 1

Start with Equation IVb.2.7 (see attached image) and obtain an approximate relation for the thickness of the hydrodynamic boundary layer.

Problem 3

Assume a two-dimensional flow over a flat plate. Use the result of Problem 1 for the thickness of the boundary layer and the velocity profile for Vx, as given by Equation IVb.2.1 (see attached image) and obtain a relation for Vy. [Hint: Use the equation for continuity given by Equation IIIa.3.13-1 (see attached image)].

Problem 6

Air at atmospheric pressure and room temperature (27 C) flows over a flat plate at a speed of 2 m/s. The length of the plate is 0.5 m. Find the thickness of the boundary layer at the middle of the plate (x = 25 cm) and at the trailing edge (x = L).

3
y
2 8
Vx _ 3 y
1
IVb.2.1
%3|
2 8
dd
140
V
IVb.2.7
13 (V2);
dx
av
+
Ша.3.13-1
ду
Transcribed Image Text:3 y 2 8 Vx _ 3 y 1 IVb.2.1 %3| 2 8 dd 140 V IVb.2.7 13 (V2); dx av + Ша.3.13-1 ду
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