A steady-state model for the generalized Prandtl equations and the asymptotic transition in longitudinal viscosity in the Navier-Stokes equations
Abstract
It is shown that the generalized Prandtl equations are a limiting case of the Navier-Stokes equations when the longitudinal viscosity tends to zero. Estimates are obtained for the rejected terms, and the wxistence theorem is proved for the case of the generalized Prandtl equations.
- Publication:
-
Prikladnaia Matematika i Mekhanika
- Pub Date:
- April 1985
- Bibcode:
- 1985PriMM..49..227S
- Keywords:
-
- Asymptotic Methods;
- Computational Fluid Dynamics;
- Inviscid Flow;
- Navier-Stokes Equation;
- Prandtl Number;
- Viscosity;
- Bernoulli Theorem;
- Boundary Integral Method;
- Existence Theorems;
- Flow Velocity;
- Stream Functions (Fluids);
- Fluid Mechanics and Heat Transfer