Elvira Barbera†, Claudia Fazio‡
Abstract: Stationary flow with heat transfer in a gas is investigated within Rational Extended Thermodynamics. A rarefied gas is considered in the gap between two confocal elliptical cylinders or non-coaxial circular ones. In both symmetries, internal and external cylinders are kept at two different constant temperatures and a flow in the axial direction is generated. Both Couette and Poiseuille problems are studied in these two symmetries. The solutions of the linearized field equations are determined and compared with the solutions of Classical Thermo- dynamic. Then, some non-linear effects are investigated. It is shown that the non-linear terms are able to describe some additional effects that are present in the Kinetic Theory but cannot be obtained within Classical Thermodynamics. In particular, non-vanishing stress tensor components and an axial heat flux are recovered in addition to the classical solutions.
Keywords: heat transfer, non-isothermal flow, rational extended thermodynamics, Grad theory.
MSC: 60J70, 93E20.
DOI 10.56082/annalsarscimath.2025.3.55
† ebarbera@unime.it, Department of Mathematical, Computer, Physical and Earth Sciences, University of Messina, Italy, V.le F. Stagno D’Alcontres 31, I-98166 Messina, Italy
‡ clfazio@unime.it, Department of Mathematical, Computer, Physical and Earth Sci- ences, University of Messina, Italy, V.le F. Stagno D’Alcontres 31, I-98166 Messina, Italy
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 3, 2025
