A fluid (v = 10-4 m²/s, p = 916 kg/m³) flows over a constant width, flat plate. The free- stream velocity is 4 m/s. Done What is the nature of the boundary layer (laminar/turbulent) 4 m downstream of the leading edge? Done What is the thickness, & of the boundary layer and the wall-shear stress, Tw at this location? Done →What is the velocity at a point 15 mm away from the plate at this location? d. What is the ratio of the shearing force on the upstream half of the plate to that on the ?? downstream half. Hint: Can you find out the shearing force on the upstream and downstream halves using the relations you have? Refer to the Blasius solution in the table below, and interpolate as needed. 25 T = May y[U/(vx)]¹/2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 u/U 0.0 0.06641 0.13277 0.19894 0.26471 0.32979 0.39378 0.45627 0.51676 0.57477 0.62977 0.68132 0.72899 0.77246 y[U/(vx)]¹/2 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4 4.6 4.8 5.0 8 u/U 0.81152 0.84605 0.87609 0.90177 0.92333 0.94112 0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 1.00000

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Please help, I don't know how to do whats being asked. We have never split a flat plate in half for Shear force. Only know how to split the boundary layer from the uniform portion. 

A fluid (v = 10-4 m²/s, p = 916 kg/m³) flows over a constant width, flat plate. The free-
stream velocity is 4 m/s.
Done
What is the nature of the boundary layer (laminar/turbulent) 4 m downstream of the leading
edge?
Done What is the thickness, & of the boundary layer and the wall-shear stress, Tw at this location?
Done →→ What is the velocity at a point 15 mm away from the plate at this location?
d. What is the ratio of the shearing force on the upstream half of the plate to that on the
?? downstream half. Hint: Can you find out the shearing force on the upstream and downstream
halves using the relations
you have?
Refer to the Blasius solution in the table below, and interpolate as needed.
T=134545
y[U/(vx)]¹/2
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
2.4
2.6
u/U
0.0
0.06641
0.13277
0.19894
0.26471
0.32979
0.39378
0.45627
0.51676
0.57477
0.62977
0.68132
0.72899
0.77246
y[U/(vx)]¹/2
2.8
3.0
3.2
3.4
3.6
3.8
4.0
4.2
4.4
4.6
4.8
5.0
8
u/U
0.81152
0.84605
0.87609
0.90177
0.92333
0.94112
0.95552
0.96696
0.97587
0.98269
0.98779
0.99155
1.00000
Transcribed Image Text:A fluid (v = 10-4 m²/s, p = 916 kg/m³) flows over a constant width, flat plate. The free- stream velocity is 4 m/s. Done What is the nature of the boundary layer (laminar/turbulent) 4 m downstream of the leading edge? Done What is the thickness, & of the boundary layer and the wall-shear stress, Tw at this location? Done →→ What is the velocity at a point 15 mm away from the plate at this location? d. What is the ratio of the shearing force on the upstream half of the plate to that on the ?? downstream half. Hint: Can you find out the shearing force on the upstream and downstream halves using the relations you have? Refer to the Blasius solution in the table below, and interpolate as needed. T=134545 y[U/(vx)]¹/2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 u/U 0.0 0.06641 0.13277 0.19894 0.26471 0.32979 0.39378 0.45627 0.51676 0.57477 0.62977 0.68132 0.72899 0.77246 y[U/(vx)]¹/2 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4 4.6 4.8 5.0 8 u/U 0.81152 0.84605 0.87609 0.90177 0.92333 0.94112 0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 1.00000
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