The Fluctuating Flow of a Gas Near a Stagnation Point on a Hot Wall

Abstract

Solutions are given in series, valid for low and high frequencies, for the two-dimensional flow in the vicinity of a stagnation point due to an incident stream, assumed incompressible, which is fluctuating in amplitude about a steady mean. The wall is assumed to be hot so that compressibility effects may not be neglected within the laminar boundary layer itself. Numerical computations are carried out for the case of the wall-mainstream temperature ratio, χ, equal to unity (a warm wall) and χ = 2.003 (a typical hot wall). Calculation of the fluctuations in the skin-friction and heat-transfer rate at the wall support previous approximate results at low frequencies for these two values of χ and the effect of the hot wall is seen to enhance the phase lead (skin friction) over, and decrease the phase lag (heat transfer) behind, the main stream. The possibility of covering the whole frequency range by the two series is discussed.