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Chemical reaction effect on double diffusive convection in porous media with magnetic and variable gravity effects

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Abstract

We study the problem of double diffusive convective movement of a reacting solute in a viscous incompressible occupying a plane layer in a saturated porous medium and subjected to a vertical magnetic field. The thresholds for linear instability are found and compared to those derived by a global nonlinear energy stability analysis. Then, the accuracy of both the linear instability and global nonlinear energy stability thresholds are tested using a three dimensional simulation. The strong stabilizing effect of gravity field and magnetic field is shown. Moreover, the results support the assertion that the linear theory, in general, is accurate in predicting the onset of convective motion, and thus, regions of stability.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq

    Akil Jassim Harfash

  2. Petroleum department, College of Engineering, University of Misan, Misan, Iraq

    Ahmed Kadhim Alshara

Authors
  1. Akil Jassim Harfash
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  2. Ahmed Kadhim Alshara
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Correspondence to Akil Jassim Harfash.

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Harfash, A.J., Alshara, A.K. Chemical reaction effect on double diffusive convection in porous media with magnetic and variable gravity effects. Korean J. Chem. Eng. 32, 1046–1059 (2015). https://doi.org/10.1007/s11814-014-0327-5

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  • DOI: https://doi.org/10.1007/s11814-014-0327-5

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