(Solved): a) Write the linearized potential equation for standing, two-dimensional, supersonic currents. ...

a) Write the linearized potential equation for standing, two-dimensional, supersonic currents. b) Show that this equation is also valid for the decay potential. c) Show that the general solution of the decay potential equation can be obtained by transforming the variable $Q(x,y)=V\left[f,(E)+f_2(n)\right]$. d) Show that the equation of the streamlines will be $y,=?[f,?f]+,Sb$. e) Consider a permanent, two-dimensional, supersonic potential current on a corrugated wall of the shape $y=h\sin (2x/L),(h/L?1)$. Obtain the disturbance potential function using the boundary conditions for this current. f) Consider how the flow properties change as you move away from the corrugated wall.