Skip to Content
My List (
0
)
Login
Contact
Help
About
Tufts
Digital Library
Add to List
Download PDF
On the dependence of the Navier-Stokes equations on the distribution of molecular velocities.
Love, Peter J.
Boghosian, Bruce M.
2004.
open in viewer
Description
In this work we introduce a completely general Chapman-Enskog procedure in which we divide the local distribution into an isotropic distribution with anisotropic corrections. We obtain a recursion relation on all integrals of the distribution function required in the derivation of the moment equations. We obtain the hydrodynamic equations in terms only of the first few moments of the isotropic part
...
read more
of an arbitrary local distribution function. The incompressible limit of the equations is completely independent of the form of the isotropic part of the distribution, whereas the energy equation in the compressible case contains an additional contribution to the heat flux. This additional term was also found by Boghosian [Braz. J. Phys. 29 (1999) 91] and by Potiguar and Costa [Physica A 303 (2002) 457] in the derivation of the Navier-Stokes equations for Tsallis thermostatistics, and is the only additional term allowed by the Curie principle. © 2004 Published by Elsevier B.V.
read less
This object is in collection
Faculty Scholarship
Creator department
Tufts University. Department of Physics and Astronomy.
Tufts University. Department of Mathematics.
Subject
Statistical mechanics.
Permanent URL
http://hdl.handle.net/10427/014376
Citation
Love, Peter J., and Bruce M. Boghosian. "On the Dependence of the Navier-Stokes Equations on the Distribution of Molecular Velocities." Physica D: Nonlinear Phenomena 193, no. 1-4 (June 2004): 182-194. doi:10.1016/j.physd.2004.01.019.
ID:
z603r895s
To Cite:
TARC Citation Guide
EndNote
Usage:
Detailed Rights
