For the two-dimensional transonic flow, in the range of small disturbance theory, the flow can be considered as irrotational under the following conditions: 

Try to prove that if the above differential equations are transformed by u and v as independent variables instead of x and y, that is 

The nonlinear equations in xy plane can be changed into linear equations in velocity plane 

where Ma∞ is the incoming Mach number and V is the incoming velocity.

Transcribed Image Text:

v = 0 ax