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International Conference on Applied and Computational Mathematics

ICACM 2018: Mathematical Modeling and Computational Tools pp 193–209Cite as

Mixed Convection in a Lid-Driven Inclined Cavity with Discrete Heater on the Lower Wall

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 320))

Abstract

The analysis of fluid flow and heat transfer enhancement in a lid-driven square enclosure inclined at an angle ψ and partially heated from below is developed numerically. A heater is placed at the middle of the bottom wall whereas the upper wall, moving horizontally at a constant speed, is maintained at a lessened temperature. Governing discretized equations are solved by applying the finite volume method with a pressure correction-based SIMPLE algorithm. Results are obtained for various parameters such as Richardson number (0.1 ≤ Ri ≤ 3), solid volume fraction (0 ≤ ϕ ≤ 0.1) with the inclination angle varying from −60° to 60°. The change in the rate of heat transfer due to inclusion of the nanoparticles is investigated. Flow field as well as the heat transfer has dependency on the inclination angle of the enclosure. The augmentation in heat transfer is obtained at a comparatively higher rate than that of the entropy generation in our proposed model.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India

    Subhasree Dutta & Somnath Bhattacharyya

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  1. Subhasree Dutta
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  2. Somnath Bhattacharyya
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Correspondence to Subhasree Dutta .

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Editors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    Somnath Bhattacharyya

  2. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    Jitendra Kumar

  3. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, India

    Koeli Ghoshal

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Dutta, S., Bhattacharyya, S. (2020). Mixed Convection in a Lid-Driven Inclined Cavity with Discrete Heater on the Lower Wall. In: Bhattacharyya, S., Kumar, J., Ghoshal, K. (eds) Mathematical Modeling and Computational Tools. ICACM 2018. Springer Proceedings in Mathematics & Statistics, vol 320. Springer, Singapore. https://doi.org/10.1007/978-981-15-3615-1_13

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