Temperature behavior of vortices of a 3D thermoconducting viscous fluid

Details Temperature behavior of vortices of a 3D thermoconducting viscous fluid Temperature behavior of vortices of a 3D thermoconducting viscous fluid

2001-07-17

arxiv.org/abs/physics/0107033v1

Physics

Fluid Dynamics

11 pages, 7 figures

Scientific paper

10.1016/S0378-4371(01)00618-5

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.

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