Temperature behavior of vortices of a 3D thermoconducting viscous fluid
V. Grassi, R. A. Leo, G. Soliani, P. Tempesta
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, Tmax, when the difference of temperature Delta T=T2-T1 on the surfaces of the cylinders is assigned. The role of Tmax is discussed in the context of different physical situations.
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