Thermally coupled quasi-Newtonian flows: Analysis and computation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article; Proceedings Paper

Zhu, Jiang¹  Yu, Xijun² 

[1] MCT, Lab Nacl Computacao Cient, BR-25651075 Petropolis, RJ, Brazil

[2] Inst Appl Phys & Computat Math, Natl Key Lab Computat Phys, Beijing, Peoples R China

关键词: Coupled nonlinear system;    Quasi-Newtonian flow;    Viscous heating;    Existence;    Uniqueness;    Finite element approximations;   

DOI  :  10.1016/j.cam.2011.01.036

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free