Hyperbolic heat transfer in generalized Newtonian fluids

• Published in: International communications in heat and mass transfer Vol. 42; pp. 38 - 42
• Main Authors: da Costa Mattos, Heraldo S., Dias, Rodrigo A.C.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.03.2013; Elsevier
• Subjects: Computational fluid dynamics; Exact sciences and technology; Finite thermal wave speed; Fluid flow; Fluids; Fundamental areas of phenomenology (including applications); Generalized Newtonian fluids; Heat conduction; Heat equations; Heat transfer; Hyperbolic heat conduction; Mass transfer; Material objectivity; Newtonian fluids; Physics; Second law of thermodynamics; Thermodynamics; Material objectivity; Hyperbolic heat conduction; Generalized Newtonian fluids; Second law of thermodynamics; Finite thermal wave speed; Heat equation; Hyperbolic equations; Modelling; Thermal wave; Newtonian fluid; Thermal conduction
• ISSN: 0735-1933; 1879-0178
• DOI: 10.1016/j.icheatmasstransfer.2012.12.009

The present paper is concerned with the modeling of hyperbolic heat transfer in generalized Newtonian fluids. A general procedure, developed within the framework of thermodynamics of irreversible processes, is proposed to obtain constitutive relations that verify automatically the second law of thermodynamics and the principle of material objectivity. Such a thermodynamic approach allows a rational identification of the terms responsible for the thermomechanical coupling in the heat equation, which is a first step to better understand its influence on the fluid behavior.