Abstract
The problem of convection in a fluid-saturated porous layer which is heated internally and where the gravitational field varies with distance through the layer is studied. The accuracy of both the linear instability and global nonlinear energy stability thresholds is tested using a three-dimensional simulation. Our 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 the Iraqi ministry of higher education and scientific research. The author acknowledges the comments and suggestions of Prof. B. Straughan which led to improvements in the manuscript. Also, the author would like to thank three anonymous referees for their pointed remarks that have led to improvements in the manuscript.
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An erratum to this article can be found at http://dx.doi.org/10.1007/s11242-016-0774-z.
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Harfash, A.J. Three-Dimensional Simulations for Convection in a Porous Medium with Internal Heat Source and Variable Gravity Effects. Transp Porous Med 101, 281–297 (2014). https://doi.org/10.1007/s11242-013-0245-8
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DOI: https://doi.org/10.1007/s11242-013-0245-8