Temperature behaviour of vortices of a 3D thermoconducting viscous fluid

V. Grassi, R.A. Leo, G. Soliani and P. Tempesta

Physica A: Statistical Mechanics and its Applications, 2002, vol. 305, issue 3, 371-380

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 analytically 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 ΔT=T2−T1 on the surfaces of the cylinders is assigned. The role of Tmax is discussed in the context of different physical situations.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:305:y:2002:i:3:p:371-380

DOI: 10.1016/S0378-4371(01)00618-5

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