A Finite-Difference Method Solution of Non-Similar, Equilibrium and Non-Equilibrium Air, Boundary Layer Equations with Laminar and Turbulent Viscosity Models. Part I. analysis

摘要

An analysis is developed for the boundary layer flows, with dissociated and ionized air species in chemical equilibrium or with finite rate chemistry, about general body geometries at zero angle of attack. The partial differential equations for the boundary layer, about axisymmetric and two-dimensional bodies, are transformed to the Von Mises stream function coordinate. The resulting equations are reduced to an algebraic system obtained by adopting an explicit finite-difference method of solution. These equations provide the basis for a computer program to obtain numerical solutions. Laminar and several turbulent viscosity models are included in the analysis. Turbulent diffusivity models based upon the law of the wall, law of the wake, a curve-fit to pipe flow eddy viscosity and laminar viscosity contributions are introduced. (Author)