problem 1:

Illustrate and describe Buckingham’s Pi Theorem.

problem 2:

Based on this theorem, verify that the lift and drag coefficients of air foil are functions of only Mach number and Reynolds number while lift and drag are functions of free stream density, velocity, coefficient of viscosity, speed of sound in free stream and chord of the airfoil.

problem 3:

Illustrate circulation and vorticity. Determine the relationship between the two in a flow.

problem 4:

Illustrate out the term ‘stream function’. Develop the expressions for stream functions of three elementary flows.

problem 5:

Illustrate the approximations to Navier – Stokes equations to the flow in boundary layer.

problem 6:

Illustrate surface friction drag and form drag. How does the former depend on Reynolds number?

problem 7:

Illustrate the momentum – integral equation for two incompressible, dimensional boundary layers and describe all the parameters in the equation.