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Stability analysis for penetrative convection in a fluid layer with throughflow

Author

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  • Akil J. Harfash

    (Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq)

Abstract

The problem of penetrative convection in fluid layer with vertical throughflow effect is studied by using methods of linear instability theory and unconditional and conditional nonlinear energy theories. Then, the accuracy of the linear instability thresholds are tested using a three-dimensional simulation. For small values of throughflow, the results support the assertion that the linear theory is a good prediction to the onset of convective motion, and thus, regions of stability. However, for large values of throughflow, we found that the actual threshold move from the linear instability threshold with increasing the positive and negative effect of throughflow.

Suggested Citation

  • Akil J. Harfash, 2016. "Stability analysis for penetrative convection in a fluid layer with throughflow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(09), pages 1-21, September.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:09:n:s0129183116501011
    DOI: 10.1142/S0129183116501011
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    Cited by:

    1. Meften, Ghazi Abed, 2021. "Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Harfash, Akil J. & Meften, Ghazi Abed, 2018. "Couple stresses effect on linear instability and nonlinear stability of convection in a reacting fluid," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 18-25.
    3. Harfash, Akil J. & Meften, Ghazi Abed, 2019. "Couple stresses effect on instability and nonlinear stability in a double diffusive convection," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 301-320.

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