Transonic Hodograph Design Problems

The hodograph method is used to formulate several design problems in transonic flow using small-disturbance theory. Analytical and numerical methods give solutions to several optimum critical airfoil designs with different constraints on the tail angle. Special airfoil shapes flying at free-stream Mach number one are designed. The problem of constructing a shock-free body of revolution at subsonic speed but having a supersonic zone is formulated in the hodograph and solved numerically. Received 10 January 1997 and accepted 14 April 1997