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This study aims to accurately analyze the radiative effects on incompressible fluid flow and unsteady magnetohydrodynamic natural convection inside a square cavity containing a solid body in the center. Both the upper and bottom barriers of the hollow preserve heat. Energy, mass, and motion equations are all governed by the model. The non-dimensional equations of continuity, momentum, and energy are found by applying an appropriate transformation. A MATLAB algorithm which simulates the mathematical problem and solves the governing equations is shown. It is constructed using the alternative direction explicit method. Additionally, examining the effects of varying radiation parameter, Rayleigh number, Hartmann amount, Darcy number, and Prandtl magnitude.

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Study of Two-Dimensional Unsteady Natural Convection of a Fluid in a Square Cavity with a Solid Body in the Presences of Thermal Radiation

  • 会议论文

  • 发表日期：

    2025年

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  • Rasha N. Fadel,
  • Alaa A. Hammodat

摘要

This study aims to accurately analyze the radiative effects on incompressible fluid flow and unsteady magnetohydrodynamic natural convection inside a square cavity containing a solid body in the center. Both the upper and bottom barriers of the hollow preserve heat. Energy, mass, and motion equations are all governed by the model. The non-dimensional equations of continuity, momentum, and energy are found by applying an appropriate transformation. A MATLAB algorithm which simulates the mathematical problem and solves the governing equations is shown. It is constructed using the alternative direction explicit method. Additionally, examining the effects of varying radiation parameter, Rayleigh number, Hartmann amount, Darcy number, and Prandtl magnitude.