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Thermal treatment inside a partially heated triangular cavity filled with casson fluid with an inner cylindrical obstacle via FEM approach

The European Physical Journal Special Topics (2022)Cite this article

Abstract

A comprehensive numerical study is presented for the hydromagnetic flow and heat transfer of Casson fluid in an enclosed partially heated triangular cavity. A cylindrical obstacle is placed with different thermal boundary conditions inside the cavity. The governing partial differential equations are converted to a non-dimensional form via suitable similarity variables. Well-known finite element method (FEM) is employed to solve the governing equations and investigate the impact of various physical parameters like the length of the heating element, Casson and radiation parameters, and the Hartmann number on the streamlines, isotherms, and local Nusselt numbers. Simulations are performed for the three selected (cold, adiabatic, and heated) conditions of an inner cylindrical obstacle. It is demonstrated that the maximum Nusselt number ensues near the edges of the heating element and the Casson parameter tends to reduce the Nusselt number. It is also found that the length of the heating element has substantial effects on the heat transfer in the cavity. The new results of this study may help to study the thermal control and non-Newtonian fluids inside closed enclosures.

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Acknowledgements

The first author (ZHK) is profoundly grateful for the financial support from the Thousand Talents Plan 2019 for the Introduction of High-level Talents at Home and Abroad in Sichuan Province. The author (MH) is grateful to Fudan University for providing research opportunities in China through the International Exchange Post-Doctoral Fellowship. This work is supported by China Postdoctoral Science Foundation (No. 2020M681135).

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Authors and Affiliations

  1. State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu, 610065, People’s Republic of China

    Zafar Hayat Khan

  2. Department of Mathematics, National University of Modern Languages (NUML), Islamabad, Pakistan

    Muhammad Usman

  3. Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, PO Box 1664, Al Khobar, 31952, Kingdom of Saudi Arabia

    Waqar Ahmed Khan

  4. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, People’s Republic of China

    Muhammad Hamid

  5. Department of Mechanics and Engineering Science, Fudan University, Shanghai, 200433, People’s Republic of China

    Muhammad Hamid

  6. Department of Electrical Engineering, Bahria University, Islamabad, 44000, Pakistan

    Rizwan Ul Haq

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  1. Zafar Hayat Khan
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  2. Muhammad Usman
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Correspondence to Muhammad Hamid.

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Khan, Z.H., Usman, M., Khan, W.A. et al. Thermal treatment inside a partially heated triangular cavity filled with casson fluid with an inner cylindrical obstacle via FEM approach. Eur. Phys. J. Spec. Top. (2022). https://doi.org/10.1140/epjs/s11734-022-00587-6

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  • DOI: https://doi.org/10.1140/epjs/s11734-022-00587-6