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Natural convection in an L-shaped enclosure using multi-relaxation time lattice Boltzmann method

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Abstract

Natural convection in L-shaped geometries has many applications in many branches of engineering science, such as cooling of electronic equipment, nuclear reactors, and design of ventilation systems. The present paper studied the natural convective heat transfer and flow field in differentially heated L-shaped enclosures with viscous fluid using the multi-relaxation time lattice Boltzmann method (LBM-MRT). The study investigates the effect of the edge of L-shaped geometry on fluid flow and temperature field. We have also investigated the effect of non-dimensional parameters like Rayleigh number in the range of \((10^3\text {-}10^7)\)and Prandtl number (0.71, 1, 7). Nusselt number (Nu) and average Nu are also calculated along heated walls to study the heat transfer behavior.

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Authors and Affiliations

  1. Department of Applied Sciences, National Textile University, Faisalabad, 38000, Pakistan

    H. Shahid & I. Yaqoob

  2. School of Mathematics and Statistics, Bei**g Institute of Technology, Bei**g, 100081, China

    W. A Khan

  3. Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif, Azad Jammu and Kashmir, 12010, Pakistan

    W. A Khan

  4. Department of Mathematics Riphah International University Fasilabad Campus, Faisalabad, 38000, Pakistan

    H. Shahid, W. A Khan & I. Yaqoob

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  1. H. Shahid
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Correspondence to W. A Khan.

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Shahid, H., Khan, W.A. & Yaqoob, I. Natural convection in an L-shaped enclosure using multi-relaxation time lattice Boltzmann method. Indian J Phys 96, 2921–2939 (2022). https://doi.org/10.1007/s12648-021-02222-x

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