Module 3 : INVISCID INCOMPRESSIBLE FLOW

Problrems

    

UNSOLVED PROBLEMS

 

PROBLEM 1: A jet plane which weighs 19620 N has a wing area of 25 m2. It is flying at a speed of 200 Km per hour. When the engine develops 58806KW, 70% of this power used to overcome the drag resistance of wing. Calculate the coefficient of lift and coefficient of drag for the wing. Take density of air as 1.25kg/m3

Answer:

PROBLEM 2: In a two dimensional incompressible flow the fluid velocity components are given by Show that the velocity potential exists and determines its form as well as stream function.

Hint: The velocity potential will exist if the flow is irrotational. Therefore the vorticity components in Z-direction must be zero.

Answer:

PROBLEM 3: The velocity potential function is given by find the velocity components in x and y direction. Also show that represents a possible case of fluid flow.

Answer:

PROBLEM 4: Determine the power required to move 10m long, 10cm diameter smooth circular cylinder that protrudes vertically from the deck of a ship at a speed of 15.4m/s. Then streamlined the cylinder and recalculate the power. Take Smooth cylinder having Cd=1.02 and Cd=0.051 for streamlined cylinder

Answer: 7020W, 350W

PROBLEM 5: The cross-section of the exit section of a control surface enclosing an aircraft propeller is 9 m2. The mean values of air velocities at the entry and exit of the control surface are 133m/s and 170m/s respectively. Take the density of air as 1.25 kg/m3. Determine the thrust acting on the propeller.

Hint: Thrust force= (Answer=70.78KN)