The problem considered in this report is the determination of the velocity distribution function f and the heat transfer rate at any point on a surface of arbitrary shape immersed in a free molecule flow field. A theory is developed in which the mass flux incident on the surface of a non-convex body is expressed as the solution of an integral equation. Then the fundamental transport properties at the surface are given in terms of appropriate integrals over velocity space. As an example, a hemisphere in an infinite speed ratio flow is considered. Author
Partially supported by the Daniel and Florence Guggenheim Foundation.