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Continuum Mechanics and Thermodynamics

, Volume 17, Issue 1, pp 17–27 | Cite as

Nonlinear convection of a viscoelastic fluid with inclined temperature gradient

  • P. N. KaloniEmail author
  • J. X. Lou
Article

Abstract.

The energy method is used to analyze the viscoelastic fluid convection problem in a thin horizontal layer, subjected to an applied inclined temperature gradient. The boundaries are considered to be rigid and perfectly conducting. Both linear and nonlinear stability analyses are carried out. The eigenvalue problem is solved by the Chebyshev Tau-QZ method and comparisons are reported between the results of the linear theory and energy stability theory.

Keywords:

viscoelastic fluid energy method inclined temperature gradient Chebyshev Tau-QZ method 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of WindsorWindsorCanada

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