Onset of internally heated convection in a porous layer with variable gravity: a brinkmann model

Authors

  • Pavan Kumar Reddy Muduganti VNR Vignana Jyothi Institute of Engineering and Technology, Hyderabad
  • M Venkateshwar Rao Vasavi College of Engineering, Telangana, India, 500031 and Osmania University, Telangana, India, 500007.
  • Lokapavani Osmania University College for Women Koti, Telangana, India, 500095.
  • P. Raghavendra Department of Mathematics, Malla Reddy University, Hyderabad, India, 500100.

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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Author Biographies

M Venkateshwar Rao, Vasavi College of Engineering, Telangana, India, 500031 and Osmania University, Telangana, India, 500007.

Department of Mathematics

Lokapavani, Osmania University College for Women Koti, Telangana, India, 500095.

Department of Mathematics

P. Raghavendra, Department of Mathematics, Malla Reddy University, Hyderabad, India, 500100.

Department of Mathematics

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Published

16-04-2024

How to Cite

Muduganti, P. K. R., M, V. R., Lokapavani, & pudathu, R. (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. Retrieved from https://www.rgnpublications.com/journals/index.php/cma/article/view/2073

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Research Article