Temperature behavior of vortices of a 3D thermoconducting viscous fluid
Fluid Dynamics
2009-11-07 v1 Mathematical Physics
math.MP
Abstract
The Navier-Stokes-Fourier model for a 3D thermoconducting viscous fluid, where the evolution equation for the temperature T contains a term proportional to the rate of energy dissipation, is investigated analitically at the light of the rotational invariance property. Two cases are considered: the Couette flow and a flow with a radial velocity between two rotating impermeable and porous coaxial cylinders, respectively. In both cases, we show the existence of a maximum value of T, T_max, when the difference of temperature Delta T=T_2-T_1 on the surfaces of the cylinders is assigned. The role of T_max is discussed in the context of different physical situations.
Keywords
Cite
@article{arxiv.physics/0107033,
title = {Temperature behavior of vortices of a 3D thermoconducting viscous fluid},
author = {V. Grassi and R. A. Leo and G. Soliani and P. Tempesta},
journal= {arXiv preprint arXiv:physics/0107033},
year = {2009}
}
Comments
11 pages, 7 figures