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

Gangadharaiah Yeliyur Honnappa, Manjunatha Narayanappa, Ramalingam Udhayakumar (), Barakah Almarri (), Ahmed M. Elshenhab and Nagarathnamma Honnappa
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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
Nagarathnamma Honnappa: Department of Mathematics, Dr. Ambedkar Institute of Technology, Bengaluru 560056, India

Mathematics, 2023, vol. 11, issue 6, 1-15

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.

Keywords: double-diffusive convection; Brinkman model; anisotropy; throughflow; changeable gravity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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