2. Air at 40 °C moves over a long flat plate with a uniform free stream velocity of U = 900 m/s. Assume the boundary layer formed above the surface of the plate starts at the tip of the leading edge and the velocity profile inside the boundary layer has power-law form as Re, <107 {8 10’ < Re, < 10* 9 10* < Re, <10° 7 ,for u Sx
2. Air at 40 °C moves over a long flat plate with a uniform free stream velocity of U = 900 m/s. Assume the boundary layer formed above the surface of the plate starts at the tip of the leading edge and the velocity profile inside the boundary layer has power-law form as Re, <107 {8 10’ < Re, < 10* 9 10* < Re, <10° 7 ,for u Sx
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:2. Air at 40 °C moves over a long flat plate with a uniform free stream velocity of U = 900 m/s.
Assume the boundary layer formed above the surface of the plate starts at the tip of the
leading edge and the velocity profile inside the boundary layer has power-law form as
Re, <107
8 10' < Re, <10*
7
- ().
for u Sx<U , 0<y<8, and n =
-=
U
9 10 < Re, <10°
where u is the velocity inside the boundary layer, y is the vertical axis and 8 is the boundary
layer thickness. Determine at a position x = 300 cm away from the leading edge of the plate,
the
i. boundary layer displacement thickness, &' as a function of 8
ii. boundary layer momentum thickness, 0 as a function of 8
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