Weighting Function In Order Research Articles

A mathematical description of gas-surface interactions based on reciprocity

The general problem of the interaction between a monatomic gas and a solid surface is investigated from a mathematical point of veiw by the use of a scattering kernel. Based upon the assumptions that any scattering kernel must be non-negative, normalized in half velocity space, and satisfy the reciprocity relation, a series of product solutions is obtained in each of three coordinate systems. The first solution in each series is obtained in closed mathematical form, while subsequent solutions can be evaluated numerically. It is shown that the first scattering kernel in rectangular coordinates adequately describe experimentally observed results of gas-surface interaction. This solution has two parameters which are shown to be related to a tangential and normal thermal accommodation coefficient. This scattering kernel is integrated with the appropriate weighting function in order to obtain mean reflected properties.