An Order of Magnitude Analysis of the Navier-Stokes Equations in the Viscous Layer Regime in Hypersonic Flow

摘要

An order of magnitude analysis of the NSE (Navier-Stokes equations) in the viscous layer regime has resulted in a set of equations of simpler form than the NSE, but a great deal more difficult than the usual BLE (boundary layer equations). It was also shown that in this viscous layer regime the effects of slip and of the neglected viscous terms in the BLE tend to cancel in such a manner that the wall pressures computed from boundary layer considerations appear to be correct. This may explain the agreement of recent data with the boundary layer theories in regions in which the slip flow is not negligible. (Author)