Problem 1: Air at 20°C and 1 atm pressure flows at 20m/s past the flat plate shown below. A pitot tube, placed 2 mm from the wall, develops a manometer head h=16 mm for a gage fluid with specific gravity SG=0.827. Estimate the downstream position of the pitot tube, assuming laminar boundary layer flow. Hint: use the pitot tube information to find the stream-wise velocity at that height and location. Then use Blasius solution given in Table 11-1 (p566) to find the location x. You may need to do a little interpolation of the data in Table 11-1. X TABLE 11-1 The Blasius Solution - 20 m/s Rex 0.0 0.4 0.8 1.2 9016 2.0 2.4 u/U Boundary layer 0.0 0.13277 0.26471 0.39378 0.62977 0.72899 X 2.8 3.2 3.6 4.0 0.516760 100 4.4 IDER: 4.8 2 mm Laminar Boundary Layer √√Rex 00 h u/U 0.81152 0.87609 0.92333 0.95552 0.97587 0.98779 1.00000

Elements Of Electromagnetics
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Problem 1:
Air at 20°C and 1 atm pressure flows at 20m/s past the flat plate shown below. A pitot tube,
placed 2 mm from the wall, develops a manometer head h=16 mm for a gage fluid with specific
gravity SG=0.827. Estimate the downstream position of the pitot tube, assuming laminar
boundary layer flow. Hint: use the pitot tube information to find the stream-wise velocity at that
height and location. Then use Blasius solution given in Table 11-1 (p566) to find the location x.
You may need to do a little interpolation of the data in Table 11-1.
X
20 m/s
0.0
0.4
0.8
1.2
0901.6
2.0
2.4
TABLE 11-1 The Blasius Solution - Laminar Boundary Layer
√Rex
√Rex
u/U
u/U
Boundary layer
0.62977
0.72899
X
0.0
0.13277
0.26471
0.39378
do 0.51676 won 0024.4
T 4.8
Bozhilgini
8
2 mm
2.8
3.2
3.6
4.0
***
0.81152
0.87609
0.92333
0.95552
0.97587
0.98779
1.00000
Transcribed Image Text:Problem 1: Air at 20°C and 1 atm pressure flows at 20m/s past the flat plate shown below. A pitot tube, placed 2 mm from the wall, develops a manometer head h=16 mm for a gage fluid with specific gravity SG=0.827. Estimate the downstream position of the pitot tube, assuming laminar boundary layer flow. Hint: use the pitot tube information to find the stream-wise velocity at that height and location. Then use Blasius solution given in Table 11-1 (p566) to find the location x. You may need to do a little interpolation of the data in Table 11-1. X 20 m/s 0.0 0.4 0.8 1.2 0901.6 2.0 2.4 TABLE 11-1 The Blasius Solution - Laminar Boundary Layer √Rex √Rex u/U u/U Boundary layer 0.62977 0.72899 X 0.0 0.13277 0.26471 0.39378 do 0.51676 won 0024.4 T 4.8 Bozhilgini 8 2 mm 2.8 3.2 3.6 4.0 *** 0.81152 0.87609 0.92333 0.95552 0.97587 0.98779 1.00000
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