The document discusses the extent of laminar boundary layer flow along the wings of an airplane flying at 400 mph. At an altitude of 10,000 ft, the laminar boundary layer extends 0.171 ft along the wing. If the airplane descends to sea level while maintaining 400 mph, the laminar boundary layer will decrease to 0.134 ft due to the lower air density and higher kinematic viscosity at sea level.
The document discusses the extent of laminar boundary layer flow along the wings of an airplane flying at 400 mph. At an altitude of 10,000 ft, the laminar boundary layer extends 0.171 ft along the wing. If the airplane descends to sea level while maintaining 400 mph, the laminar boundary layer will decrease to 0.134 ft due to the lower air density and higher kinematic viscosity at sea level.
The document discusses the extent of laminar boundary layer flow along the wings of an airplane flying at 400 mph. At an altitude of 10,000 ft, the laminar boundary layer extends 0.171 ft along the wing. If the airplane descends to sea level while maintaining 400 mph, the laminar boundary layer will decrease to 0.134 ft due to the lower air density and higher kinematic viscosity at sea level.
The document discusses the extent of laminar boundary layer flow along the wings of an airplane flying at 400 mph. At an altitude of 10,000 ft, the laminar boundary layer extends 0.171 ft along the wing. If the airplane descends to sea level while maintaining 400 mph, the laminar boundary layer will decrease to 0.134 ft due to the lower air density and higher kinematic viscosity at sea level.
10/23/2017 inrep.ccitonline.com | soal dan pembahasan bab 9 (9.
22) Michael Stefanus 1006705975
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soal dan pembahasan bab 9 (9.22) Michael Stefanus 1006705975
9.22 An airplane flies at a speed of 400 mph at an altitude of 10,000 ft. If the boundary layers on the wing surfaces behave as those on a flat plate, estimate the extent of laminar boundary layer flow along the wing. Assume a transitional Reynolds number of Rexcr = 5 x lOs. If the airplane maintains its 400-mph speed but descends to sea level elevation, will the portion of the wing covered by a laminar boundary layer increase or decrease compared with its value at 10,000 ft? Explain.
Answer
At 10.000 ft :
1. Re Xcr = (U Xcr / v)
Where U = 400 mph (1hr / 3600 s ) (5280ft / mi ) =587 ft/s
And from Table C.1, V= / = (3.534 X 10 -7 lb.s/ft2 )/(1.756 x 10 -3 slug/ft3)
Hence, with Re Xcr = 5 x 105,
1.
At sea-level :
1. Re Xcr = (U Xcr / v)
Where U = 400 mph (1hr / 3600 s ) (5280ft / mi ) =587 ft/s
And v = 1.57 x 10-4 ft2/s
Hence, Xcr = v Re Xcr / U = (1.57 x 10 -4 ft2/s) (5x105)/587 ft/s = 0.134 ft
The laminar boundry layer occupies the first 0.134 ft of the wing at sea level and (from part a above) the first 0.171 ft at an altitude of 10.000 ft. thi is due mainly to the lower density (larger kinematic viscosity). The ddynamic viscosities are approximately the same.
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