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Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow

Author

Listed:
  • Gangadharaiah Yeliyur Honnappa

    (Department of Mathematics, RV Institute of Technology & Management, Bengaluru 560076, India)

  • Manjunatha Narayanappa

    (Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru 560064, India)

  • Ramalingam Udhayakumar

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India)

  • Barakah Almarri

    (Department of Mathematical Sciences, College of Sciences, Princess Nourahbint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Ahmed M. Elshenhab

    (School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Nagarathnamma Honnappa

    (Department of Mathematics, Dr. Ambedkar Institute of Technology, Bengaluru 560056, India)

Abstract

The influence of the throughflow and gravity fluctuation on thermosolutal convection in an anisotropic porous bed with the Darcy–Brinkman effect is considered numerically. The critical Rayleigh numbers for the onset of stationary and oscillatory modes have been found via linear instability analysis. The impact of various gravitational functions in the presence of throughflow on stability is studied. The analysis has been carried out for decreasing and increasing gravity fluctuations. The convective problem has been numerically analyzed using a single-term Galerkin approach. The results show that the mechanical anisotropy parameter and Lewis number have a destabilizing effect, while the thermal anisotropy parameter, Darcy number, solutal Rayleigh number, throughflow parameter, and gravity parameter have a stabilizing effect on stationary and oscillatory convection. It is clear that the system changes in a way that makes it more stable for case (iii) gravity fluctuation and more unstable for case (iv) gravity fluctuation.

Suggested Citation

  • Gangadharaiah Yeliyur Honnappa & Manjunatha Narayanappa & Ramalingam Udhayakumar & Barakah Almarri & Ahmed M. Elshenhab & Nagarathnamma Honnappa, 2023. "Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1287-:d:1090435
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    References listed on IDEAS

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    1. Shivakumara, I.S. & Mamatha, A.L. & Ravisha, M., 2015. "Local thermal non-equilibrium effects on thermal convection in a rotating anisotropic porous layer," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 838-857.
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