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

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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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