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Continuum Mechanics and Thermodynamics

, Volume 12, Issue 3, pp 185–194 | Cite as

Nonlinear convection induced by inclined thermal and solutal gradients with mass flow

  • P.N. Kaloni
  • Zongchun Qiao
Original Articles

The energy method is developed for the convection problem induced by inclined thermal and solutal gradients, with horizontal mass flow, in a horizontal layer of a saturated porous medium. A non-linear stability analysis is performed and compound matrix method is employed for numerical calculations. For representative parameter values the critical vertical thermal Rayleigh number and wave number are calculated. It is noted that the effect of horizontal thermal or solutal gradient is to switch from stabilizing to destabilizing as their magnitude increases, for zero or small values of mass flow rate. For higher values of mass flow rate the effect is always destabilizing. It is also noted that the horizontal concentration gradient has a stronger destabilizing effect as compared to the horizontal temperature gradient.

Keywords

Convection Mass Flow Mass Flow Rate Rayleigh Number Saturated Porous Medium 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • P.N. Kaloni
    • 1
  • Zongchun Qiao
    • 1
  1. 1.Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, N9B 3P4 Canada CA

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