Thermally coupled quasi-Newtonian flows: Analysis and computation

Authors:
Jiang Zhu;Xijun Yu
Affiliations:
Laboratório Nacional de Computação Científica, MCT, Avenida Getúlio Vargas 333, 25651-075 Petrópolis, RJ, Brazil;National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 5
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Abstract

In this paper, we consider an incompressible quasi-Newtonian flow with a temperature dependent viscosity obeying a power law, and the thermal balance includes viscous heating. Some mathematical results such as the existence and uniqueness are established, finite element approximation based on an iterative solution scheme is proposed, and convergence analysis is presented.