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Convection in a Porous Medium with Variable Gravity Field and Magnetic Field Effects

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Abstract

The problem of convection in a variable gravity field with magnetic field effect is studied using methods of linear instability theory and non-linear energy theory. Then, the accuracies of both the linear instability and global non-linear 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 is very accurate in predicting the onset of convective motion, and thus regions of stability.

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Acknowledgments

This work was supported by a scholarship from the Iraqi ministry of higher education and scientific research. The author would like to thank Prof. B. Straughan for his guidance. Also, the author would like to thank anonymous referees for their comments that have led to improvements in the manuscript.

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Correspondence to A. J. Harfash.

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Harfash, A.J. Convection in a Porous Medium with Variable Gravity Field and Magnetic Field Effects. Transp Porous Med 103, 361–379 (2014). https://doi.org/10.1007/s11242-014-0305-8

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