In this report the integral method is employed to investigate some effects of compressibility, heat transfer, mass transfer, and streamwise pressure gradient in boundary layers over slender bodies of revolution, where the boundary layer thickness is not necessarily small compared to the body radius. The results for zero pressure gradient without mass transfer are compared with those of other investigators in the low-speed case and in the adiabatic-surface case. These flows generally produce nonsimilar profiles. A special case of zero pressure gradient with mass transfer, which yields a similar solution, is solved. For flows with and without pressure gradients and mass transfer, special conditions which produce similar profiles are derived. For low-speed flow with no mass transfer but with pressure gradients, a set of nonsimilar soultions is presented.

An approximate momentum integral solution for the compressible axisymmetrix laminar boundary layer when transverse curvature effects are important is presented. Both finite and infinite inviscid Mach numbers are considered. Detailed comparisons with exact asymptotic solutions are given. The method is found, in many instances, to agree to leading order with the exact solutions as the transverse curvature becomes very large--a property that none of the existing approximate solutions for compressible flow possess. Some example calculations for a cone in supersonic and hypersonic flow are presented. Also, the method is applied to the hypersonic self-induced pressure problem for a cone. (Author).

Developments in Theoretical and Applied Mechanics, Volume 3 presents papers on the proceedings of the Third Southeastern Conference on Theoretical and Applied Mechanics held in Columbia, S. Carolina on March 31-April 1, 1966. The book covers papers in the areas of continuum mechanics, elasticity, plates and shells, applied mechanics, experimental mechanics, wave propagation, dynamics, vibrations, and fluid mechanics. Physical chemists and mechanical engineers will find the book invaluable.