Numerical Simulation of Thermal Newtonian Fluid Flow Driven by Horizontal Convection in A Porous Cavity

Authors

  • Rina Reorita Doctoral Program of Mathematics, Faculty of Mathematics and Natural Sciences
  • Agus Yodi Gunawan Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung
  • Novry Erwina Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung

DOI:

https://doi.org/10.20956/j.v22i2.47866

Keywords:

heat transfer, porous medium, non-uniform heating, finite difference

Abstract

Abstract

Horizontal convection is a distinct form of natural convection where flow is generated by uneven buoyancy along a horizontal boundary. This study presents a numerical simulation of horizontal convection within a porous rectangular cavity. The flow is driven by a non-uniform heating on the top surface, while the other boundaries are thermally insulated. We derive a governing equation involving four dimensionless parameters: the Darcy number, the Rayleigh number, the viscosity ratio, and the geometric aspect ratio. This equation is solved numerically through the finite difference method. Our investigation emphasizes how the Rayleigh number and viscosity ratio influence the flow of the thermal fluid. The results show that viscosity inhibits convection, thereby weakening the thermal boundary layer.

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Published

2026-01-10

How to Cite

Reorita, R., Gunawan, A. Y., & Erwina, N. (2026). Numerical Simulation of Thermal Newtonian Fluid Flow Driven by Horizontal Convection in A Porous Cavity. Jurnal Matematika, Statistika Dan Komputasi, 22(2), 407–416. https://doi.org/10.20956/j.v22i2.47866

Issue

Vol. 22 No. 2 (2026): JANUARY 2026

Section

Research Articles

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