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Numerical Simulations of Hydromagnetic Mixed Convection Flow of Nanofluids inside a Triangular Cavity on the Basis of a Two-Component Nonhomogeneous Mathematical Model

Khadija A. Al-Hassani1, M. S. Alam2, M. M. Rahman1,*

1 Department of Mathematics, College of Science, Sultan Qaboos University, Muscat, Oman
2 Department of Mathematics, Jagannath University, Dhaka, Bangladesh

* Corresponding Author: M. M. Rahman. Email: email

Fluid Dynamics & Materials Processing 2021, 17(1), 1-20. https://doi.org/10.32604/fdmp.2021.013497

Abstract

Nanofluids have enjoyed a widespread use in many technological applications due to their peculiar properties. Numerical simulations are presented about the unsteady behavior of mixed convection of Fe3O4-water, Fe3O4- kerosene, Fe3O4-ethylene glycol, and Fe3O4-engine oil nanofluids inside a lid-driven triangular cavity. In particular, a two-component non-homogeneous nanofluid model is used. The bottom wall of the enclosure is insulated, whereas the inclined wall is kept a constant (cold) temperature and various temperature laws are assumed for the vertical wall, namely: θ = 1(Case 1), θ = Y(1 – Y)(Case 2), and θ = sin(2πY)(Case 3). A tilted magnetic field of uniform strength is also present in the fluid domain. From a numerical point of view, the problem is addressed using the Galerkin weighted residual finite element method. The role played by different parameters is assessed, discussed critically and interpreted from a physical standpoint. We find that a higher aspect ratio can produce an increase in the average Nusselt number. Moreover, the Fe3O4-EO and Fe3O4-H2O nanofluids provide the highest and smallest rate of heat transfer, respectively, for all the considered (three variants of) thermal boundary conditions.

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APA Style
Al-Hassani, K.A., Alam, M.S., Rahman, M.M. (2021). Numerical simulations of hydromagnetic mixed convection flow of nanofluids inside a triangular cavity on the basis of a two-component nonhomogeneous mathematical model. Fluid Dynamics & Materials Processing, 17(1), 1-20. https://doi.org/10.32604/fdmp.2021.013497
Vancouver Style
Al-Hassani KA, Alam MS, Rahman MM. Numerical simulations of hydromagnetic mixed convection flow of nanofluids inside a triangular cavity on the basis of a two-component nonhomogeneous mathematical model. Fluid Dyn Mater Proc. 2021;17(1):1-20 https://doi.org/10.32604/fdmp.2021.013497
IEEE Style
K.A. Al-Hassani, M.S. Alam, and M.M. Rahman "Numerical Simulations of Hydromagnetic Mixed Convection Flow of Nanofluids inside a Triangular Cavity on the Basis of a Two-Component Nonhomogeneous Mathematical Model," Fluid Dyn. Mater. Proc., vol. 17, no. 1, pp. 1-20. 2021. https://doi.org/10.32604/fdmp.2021.013497

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cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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