Simplified NavierStokes equations and combined solution of nonviscous and viscous boundary layer equations
Abstract
Simplified NavierStokes equations and the combined solution of nonviscous and boundary layer equations are discussed. From the full NavierStokes equations and an analysis of the combined solution of nonviscous and boundary layer equations, simplified NavierStokes equations were worked out. A perturbation analysis which differs slightly from the matchperturbationexpansions of innerouter layers developed by Van Dyke shows that the solution of the simplified NavierStokes equations are uniformly valid with accuracy of O(Re infinity (1/2)) in the whole flow field, where Re infinity = P infinity U infinity L over Mu infinity, is the density of free stream, U infinity the xcomponent of velocity, L the characteristic length, and Mu infinity the dynamic viscosity of free stream.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 May 1984
 Bibcode:
 1984STIN...8431564G
 Keywords:

 Boundary Layer Equations;
 Boundary Layer Flow;
 Boundary Layer Transition;
 NavierStokes Equation;
 Viscous Flow;
 Flow Distribution;
 Free Flow;
 Perturbation;
 Fluid Mechanics and Heat Transfer