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A computational study of conjugate heat transfer is performed for 2-D, incompressible, steady and laminar flow of viscoplastic fluid over a backward-facing step channel having finite slab thickness. The governing equations are solved numerically using the Bingham fluid model for the rheology of the fluid. The following range of parameters are investigated for the conjugate heat transfer characteristics: Reynolds number \((100\le \text{Re}\le 800)\) , Bingham number \((0\le \text{Bn}\le 1)\) , thermal conductivity ratio \(\left(1\le k\le 100\right),\) and slab depth \((2\le b/S\le 8\) ). The interface wall temperature, Nusselt number (Nu), and enhancement ratio are analyzed for the aforementioned range of parameters. The results demonstrate that when the Reynolds number and thermal conductivity ratio increase, Nu increases significantly. Moreover, for conjugate cases, heat transfer is lower than for non-conjugate cases.

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Implication of Viscoplastic Fluid on Heat Transfer Enhancement Through Channel with Backward-Facing Step

  • 会议论文

  • 发表日期：

    2025年

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  • Saurav Kumar,
  • Md. Faizan,
  • Sukumar Pati,
  • Pitamber R. Randive

摘要

A computational study of conjugate heat transfer is performed for 2-D, incompressible, steady and laminar flow of viscoplastic fluid over a backward-facing step channel having finite slab thickness. The governing equations are solved numerically using the Bingham fluid model for the rheology of the fluid. The following range of parameters are investigated for the conjugate heat transfer characteristics: Reynolds number \((100\le \text{Re}\le 800)\) , Bingham number \((0\le \text{Bn}\le 1)\) , thermal conductivity ratio \(\left(1\le k\le 100\right),\) and slab depth \((2\le b/S\le 8\) ). The interface wall temperature, Nusselt number (Nu), and enhancement ratio are analyzed for the aforementioned range of parameters. The results demonstrate that when the Reynolds number and thermal conductivity ratio increase, Nu increases significantly. Moreover, for conjugate cases, heat transfer is lower than for non-conjugate cases.