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<p>This computational investigation analyses energy transport and free convective stream within a tilted hollow filled with porous media. The cavity may be orientated at three potential angles: vertical, left, or right. A portion of the cavity's lower wall is thermally insulated, while the remainder is maintained at a constant higher temperature. The cavity installs thermal insulation on its lateral walls and maintains a reduced temperature on its upper wall. The heated section is located at three positions on the lower wall: left, center, and right. If the oblique porous chamber is heated to the midpoint, other heater lengths are also considered. The Darcy model characterizes the fluid flow in the porous cavity. The finite difference method is employed to resolve the governing model equations along with boundary values for diverse wall inclinations, length &amp; location of heater, and Darcy–Rayleigh number values (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({Ra}_{D}\)</EquationSource> </InlineEquation>). The oblique cavity exhibits a superior heat transfer rate compared to the vertical square cavity. Localized heating on the lower wall significantly enhances the rate of heat transmission to the oblique porous cavity. This study aids in the design of electronic equipment and latent heat storage, and it can be used to improve thermal management.</p>

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Effect of Localized Heater Position and Length on Buoyant Convection in an Oblique Porous cavity Using Heatlines Approach

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • S. Sivasankaran,
  • H. T. Cheong,
  • T. Aasaithambi

摘要

This computational investigation analyses energy transport and free convective stream within a tilted hollow filled with porous media. The cavity may be orientated at three potential angles: vertical, left, or right. A portion of the cavity's lower wall is thermally insulated, while the remainder is maintained at a constant higher temperature. The cavity installs thermal insulation on its lateral walls and maintains a reduced temperature on its upper wall. The heated section is located at three positions on the lower wall: left, center, and right. If the oblique porous chamber is heated to the midpoint, other heater lengths are also considered. The Darcy model characterizes the fluid flow in the porous cavity. The finite difference method is employed to resolve the governing model equations along with boundary values for diverse wall inclinations, length & location of heater, and Darcy–Rayleigh number values ( \({Ra}_{D}\) ). The oblique cavity exhibits a superior heat transfer rate compared to the vertical square cavity. Localized heating on the lower wall significantly enhances the rate of heat transmission to the oblique porous cavity. This study aids in the design of electronic equipment and latent heat storage, and it can be used to improve thermal management.