Research Article

Flow of a non-linear (density-gradient-dependent) viscous fluid with heat generation, viscous dissipation and radiation

  1. Mehrdad Massoudi*,
  2. Tran X. Phuoc

Article first published online: 26 FEB 2008

DOI: 10.1002/mma.994

Issue

Mathematical Methods in the Applied Sciences

Mathematical Methods in the Applied Sciences

Volume 31, Issue 14, pages 1685–1703, 25 September 2008

Additional Information

How to Cite

Massoudi, M. and Phuoc, T. X. (2008), Flow of a non-linear (density-gradient-dependent) viscous fluid with heat generation, viscous dissipation and radiation. Math. Meth. Appl. Sci., 31: 1685–1703. doi: 10.1002/mma.994

Author Information

  1. U.S. Department of Energy, National Energy Technology Laboratory (NETL), P.O. Box 10940, Pittsburgh, PA 15236, U.S.A.

*U.S. Department of Energy, National Energy Technology Laboratory (NETL), P.O. Box 10940, Pittsburgh, PA 15236, U.S.A.

Publication History

  1. Issue published online: 7 AUG 2008
  2. Article first published online: 26 FEB 2008
  3. Manuscript Received: 12 DEC 2007

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Keywords:

  • density-gradient-dependent fluids;
  • granular materials;
  • heat generation;
  • dissipation;
  • shear flow;
  • continuum mechanics;
  • non-Newtonian fluids

Abstract

In this paper, we study the flow of a compressible (density-gradient-dependent) non-linear fluid down an inclined plane, subject to radiation boundary condition. The convective heat transfer is also considered where a source term, similar to the Arrhenius type reaction, is included. The non-dimensional forms of the equations are solved numerically and the competing effects of conduction, dissipation, heat generation and radiation are discussed. Copyright © 2008 John Wiley & Sons, Ltd.

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