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Convective instabilities in binary mixtures in a porous medium

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  • Brand, H.
  • Steinberg, V.

Abstract

We investigate the instabilities which can occur when a layer of a mixture of two miscible fluids in a porous medium is heated from below or from above. We find that either a stationary instability or an oscillatory instability can occur as the first bifurcation depending on the sign and the magnitude of the Soret coefficient. The possibility of an oscillatory convective instability when heating is done from above is pointed out for the first time. In addition, we discuss the mechanism of these instabilities using energy balance considerations.

Suggested Citation

  • Brand, H. & Steinberg, V., 1983. "Convective instabilities in binary mixtures in a porous medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(1), pages 327-338.
    • Handle: RePEc:eee:phsmap:v:119:y:1983:i:1:p:327-338
    DOI: 10.1016/0378-4371(83)90164-4
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    1. Clarke, Ira D. & Rogers, J. S. & Sievers, A. F. & Hopp, Henry, 1949. "Tannin Content and Other Characteristics of Native Sumac in Relation to its Value as a Commercial Source of Tannin," Technical Bulletins 170384, United States Department of Agriculture, Economic Research Service.
    2. Brown, Phillip F. & Williams, Raymond & Salant, Priscilla, 1979. "Shenandoah Valley Poultry Marketing Cooperative," Economics Statistics and Cooperative Services (ESCS) Reports 142873, United States Department of Agriculture, Economic Research Service.
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    Cited by:

    1. Umavathi, Jawali C. & Chamkha, Ali J., 2021. "Convective stability of a permeable nanofluid inside a horizontal conduit: Fast chemical reactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 155-170.
    2. Siddheshwar, P.G. & Kanchana, C. & Laroze, D., 2023. "Weakly nonlinear stability analysis and study of chaotic Darcy-Benard convection of a combusting fluid," Applied Mathematics and Computation, Elsevier, vol. 445(C).

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