5. An airplane wing is designed to move through air at a speed of V= 8 m/s. It has a span of S = 9 m and a chord length I. = 1.5 m. The wing is to be tested using a small 1/10 th scaled model of the wing in water tunnel - keeping the ratio S/L fixed. The drag force F on the wing is given functionally by F = f( p, µ, V, L, S). (a) using the repcating variables p,V, L express the relation in 3 dimensionless Pi groups ,71 = f(T2, T3); (b) what speed in the water tunnel is necessary for dynamic similarity?; (c) what will be the ratio of forces Fmodel/ Factual ? [Approx ans: (b) V~ 3.7 m/s; (c) Fm/Fa ~4.5 ]
5. An airplane wing is designed to move through air at a speed of V= 8 m/s. It has a span of S = 9 m and a chord length I. = 1.5 m. The wing is to be tested using a small 1/10 th scaled model of the wing in water tunnel - keeping the ratio S/L fixed. The drag force F on the wing is given functionally by F = f( p, µ, V, L, S). (a) using the repcating variables p,V, L express the relation in 3 dimensionless Pi groups ,71 = f(T2, T3); (b) what speed in the water tunnel is necessary for dynamic similarity?; (c) what will be the ratio of forces Fmodel/ Factual ? [Approx ans: (b) V~ 3.7 m/s; (c) Fm/Fa ~4.5 ]
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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![5. An airplane wing is designed to move through air at a speed of V= 8 m/s. It has a span of S=9 m and a chord length I.
= 1.5 m. The wing is to be tested using a small 1/10 th scaled model of the wing in water tunnel - keeping the ratio S/L
fixed. The drag force F on the wing is given functionally by F = f ( p, u, V, L, S). (a) using the repcating variables p,V, L
express the relation in 3 dimensionless Pi groups „11 = f(T2, T3) ; (b) what speed in the water tunnel is necessary for
dynamic similarity?; (c) what will be the ratio of forces Fmodel/ Factual ?
[Approx ans: (b) V~ 3.7 m/s; (c) Fm/Fa ~ 4.5 ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a36b4ab-c5e6-4cbf-b1f4-7c078ff60070%2Fe9e577d4-672e-4b4a-9b38-2a26a15bec3b%2Fdht8ws_processed.png&w=3840&q=75)
Transcribed Image Text:5. An airplane wing is designed to move through air at a speed of V= 8 m/s. It has a span of S=9 m and a chord length I.
= 1.5 m. The wing is to be tested using a small 1/10 th scaled model of the wing in water tunnel - keeping the ratio S/L
fixed. The drag force F on the wing is given functionally by F = f ( p, u, V, L, S). (a) using the repcating variables p,V, L
express the relation in 3 dimensionless Pi groups „11 = f(T2, T3) ; (b) what speed in the water tunnel is necessary for
dynamic similarity?; (c) what will be the ratio of forces Fmodel/ Factual ?
[Approx ans: (b) V~ 3.7 m/s; (c) Fm/Fa ~ 4.5 ]
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