Bernoulli\'s equation can also be used to show how the design of an airplane win

Question

Bernoulli's equation can also be used to show how the design of an airplane wing results is in an upward lift The flow of air around an airplane wing is illustrated below. In this case you will notice that the air is traveling faster on the upper side of the wing than on the lower. As a result the pressure will be greater on the bottom of the wing, and the wing will be forced upward. Let us consider an airplane wing where the flow of air (density = 1.3 kg / m3) is 250 m / sec over the top of the wing and 220 m / sec over the bottom. Calculate the pressure difference (P1 - P2) between the bottom and the top wing. If the area of the two wings of the airplane is 10 m2 what is the upward force?

Explanation / Answer

Applying bernoulli's equation

P1+0.5*(ro)*v1^2=P2+0.5*(ro)*v2^2

given, v1= 220 m/s, v2= 250 m/s

so, P1-P2= 0.5*(ro)*(2502-2202)

=9165 Pa

so force= pressure*area

= 9650*10

= 96500 N

=96.5 kN

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