Question

UML each) For the next two questions: The velocity potential of a cylinder of radius a a given by: a cylinder of radius a and with circulation is The uniform flow is U circulation is l = 3 m = 10 m/s, the radius of the cylinder is a = 2.5 m, an /s. The density of the flow of is 1 kg/m. te cylinder is a = 2.5 m, and the strength of the 19. The subsequent lift force per unit span developed by the cylinder is: a. 0 N/m b. 7.5 N/m C. 30 N/m d. 75 N/m

Answer 1

Solution

Given

Density of fluid,   $\rho$ =1 kg/m³

Circulation,  $\Gamma$= 3 m²/s

Flow velocity , U_$\propto$=10 m/s

From Kutta - Joukowski theorem, the lift force acting on any two dimensional body is given by,

Lift force per unit span length, F = U_$\propto$* $\Gamma$ *$\rho$

( Kutta - Joukowski theorem can be used here since flow along cylinder corresponds to fluid moving along the lower and upper surfaces of the airfoil meet smoothly, with no fluid moving around the trailing edge of the airfoil; this is known as the Kutta condition.)

Therefore lift force per unit span length, F = 10*3*1 =30 N /m

Hence option c is the correct answer.

The question is solved.

Please like the answer

Thank you

​​​​​