abstract 91

Bulletin of Computational Applied Mathematics (Bull CompAMa) 

91

Thermal convection in a bidispersive porous media with internal heat source (Research Paper)

Mahesh Singh, G. Shiva Kumar Reddy, Ravi Ragoju, Anjanna Matta, Kiran Kumar Paidipati, Christophe Chesneau

The problem of thermal instability that occurs when a uniform bidispersive porous layer held horizontally is constantly heated from below is investigated. A uniform internal heat source is also present in the system, and the flow is governed by Darcy's law. Linear and non-linear stability analyses are employed to examine the stability of the system. The shooting method, coupled with the fourth-order Runge-Kutta method, is used to obtain the solution to the eigenvalue problem for linear and non-linear stability analyses. It is shown that the linear and non-linear stability thresholds are the same. Hence, the linear stability theory comprehensively accounts for the convection mechanism. The critical Rayleigh number is evaluated for appropriate values of the other governing parameters. The impact of the internal heat source parameter on convection onset is investigated. It is demonstrated that the system becomes unstable when the value of the internal heat source parameter rises.

Keywords: Bidispersive porous media; internal heat source; linear and non-linear stability analysis; eigenvalue problem.

Cite this paper:

Singh M., Reddy G.S.K., Ragoju R., Matta A., PaidipatiK.K., Chesneau C.

Thermal convection in a bidispersive porous media with internal heat source.

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 12, No.1 pp.73-91, 2024.