Onset of Internally Heated Convection in a Porous Layer With Variable Gravity: A Brinkmann Model

Authors

  • M. Venkateshwar Rao Department of Mathematics, Vasavi College of Engineering (Osmania University), Hyderabad 500031, Telangana, India; Department of Mathematics, Osmania University, Hyderabad 500007, Telangana, India https://orcid.org/0009-0009-9231-3832
  • Lokapavani Department of Mathematics, Osmania University College for Women Koti (Osmania University), Hyderabad 500095, Telangana, India https://orcid.org/0009-0001-5494-6833
  • M. Pavan Kumar Reddy Department of Mathematics, VNR Vignana Jyothi Institute of Engineering and Technology (Jawaharlal Nehru Technological University), Hyderabad 500090, Telangana, India https://orcid.org/0000-0001-8854-6689
  • P. Raghavendra Department of Mathematics, Malla Reddy University, Hyderabad 500100, India https://orcid.org/0009-0007-0235-2033

DOI:

https://doi.org/10.26713/cma.v14i5.2073

Keywords:

Linear stability, Porous layer, Variable gravity

Abstract

The influence of heat source, and variable gravity field on the stability of convective phenomena in a porous layer is investigated numerically by considering Brinkmann’s model. Three types of gravity variations, such as, linear, parabolic, and cubic functions are considered. For linear theory, the method of normal modes has been employed to solve governing dimensionless equations which led an eigenvalue problem. The onset of convection is delayed by increasing Darcy number and gravity variation parameter. An enhancement of internal heat source makes the system unstable.

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Published

16-04-2024
CITATION

How to Cite

Venkateshwar Rao, M., Lokapavani, Pavan Kumar Reddy, M., & Raghavendra, P. (2024). Onset of Internally Heated Convection in a Porous Layer With Variable Gravity: A Brinkmann Model. Communications in Mathematics and Applications, 14(5), 1727–1737. https://doi.org/10.26713/cma.v14i5.2073

Issue

Vol. 14 No. 5 (2023)

Section

Research Article

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