On some exact solutions of the relativistic Navier{endash}Stokes equations
- Department of Physics, University of the Pacific, Stockton, California 95211 (United States)
- Department of Physics, Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
The relativistic Navier{endash}Stokes equations following from the first-order theory of Eckart are derived. Exact analytic solutions, which are the generalizations of the well-known nonrelativistic solutions for Couette flow, are found. In particular, it is shown that even in the case when the dissipative coefficients are constant the temperature distribution influences the velocity distribution. The relativistic generalization of the classical Busemann theorem is found for the case of dissipative coefficients varying with temperature. For almost every type of these flows the velocity and temperature profiles are flattened as compared with respective nonrelativistic profiles. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 277212
- Journal Information:
- Physics of Fluids (1994), Journal Name: Physics of Fluids (1994) Journal Issue: 1 Vol. 8; ISSN PHFLE6; ISSN 1070-6631
- Country of Publication:
- United States
- Language:
- English
Similar Records
Moment realizability and the validity of the Navier{endash}Stokes equations for rarefied gas dynamics
Navier--Stokes solutions for chemical laser flows. [HF]