A nonlinear theory for the calculation of the flow field of an oblique flat plate under blockage condition is given using the techniques of integral equations. Numerical results are obtained with the aid of a high-speed digital computer for the plate situated midchannel at values of the angle of attack from 10 to 90 deg and the channel width-chord ratio from 3 to 20. Although the theory is developed for arbitrary plate location, the midchannel case is of great interest due to the fact that most of the tests are performed at this position.