Significance of the thin-layer Navier-Stokes approximation
Conference
·
OSTI ID:5987114
The terms neglected in the thin-layer approximation are evaluated by transforming the equations into curvilinear surface coordinates and comparing these equations with the second order Navier-Stokes equations. In this formulation of the thin-layer equations, it is determined that the longitudinal curvature terms of second-order boundary layer theory are missing. The complete Navier-Stokes equations are required before the surface coordinate transformation in order to retain the curvature terms in the resulting governing equations. In addition, it is shown that the thin-layer equations with the Cartesian velocity components as dependent varables are not readily reduced to the boundary layer equations. 10 references, 1 figure.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 5987114
- Report Number(s):
- SAND-84-2345C; CONF-850139-1; ON: DE85002630
- Country of Publication:
- United States
- Language:
- English
Similar Records
General strong conservation formulation of Navier-Stokes equations in nonorthogonal curvilinear coordinates
A general strong conservation formulation of Navier-Stokes equations in non-orthogonal curvilinear coordinates
PROTEUS two-dimensional Navier-Stokes computer code, version 1. 0. Volume 1: Analysis description
Journal Article
·
Sun May 01 00:00:00 EDT 1994
· AIAA Journal (American Institute of Aeronautics and Astronautics); (United States)
·
OSTI ID:7083004
A general strong conservation formulation of Navier-Stokes equations in non-orthogonal curvilinear coordinates
Conference
·
Tue Dec 31 23:00:00 EST 1991
·
OSTI ID:5444464
PROTEUS two-dimensional Navier-Stokes computer code, version 1. 0. Volume 1: Analysis description
Technical Report
·
Wed Feb 28 23:00:00 EST 1990
·
OSTI ID:6750912