On the response of skin friction and heat transfer to fluctuating boundary layers

A method is described for integration of the incompressible laminar boundary layer equations with periodic fluctuating outer flow velocity and temperature distributions. The method is a combination of numerical analysis and perturbation techniques and is valid for small amplitude ratios, epsilon. It is demonstrated that a reduction by at least a factor of one hundredth in computer storage is accomplished in comparison with methods that solve numerically the governing equations. Temperature distributions and heat transfer rates are studied and the effect of dissipation on the fluctuation is included for the first time. Steady streaming components of velocity, temperature and heat transfer are also investigated. Such phenomena may appear quite significant in reentry aerodynamics where large Eckert but not as large Reynolds numbers may be encountered.