An Unsteady Cavity Flow 



I- plane 



fo - plane 



H 



A I 



B I 



(-1,0) 



(-1.0) 



Fig. 2 The basic flow and its conformal mapping planes 



The solution of this problem can be obtained by the Levi-Civita 

 method in terms of a parametric variable C, (Gilbarg [ I960]), 

 and we simply give it below for subsequent use. The complex 

 potential f^, velocity w^ and the complex variable z = x + iy are 



= ^(^^i) . 



(4) 



^0- X'TT 



(5) 



and 



191 



