4.6 Article

Numerically simulated behavior of radiative Fe3O4 and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force

Journal

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 42, Issue 3, Pages 347-356

Publisher

SHANGHAI UNIV
DOI: 10.1007/s10483-021-2693-9

Keywords

free convection; hybrid nanoparticle; Darcy porous space; Hartmann number; radiation; O361; 76Sxx; 76Bxx

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The study investigates the behavior of natural convection of aqueous-based hybrid nanomaterial under the combined effect of Lorentz force and radiation. The magnetic force slows down the flow, and the fluid tends to attract the magnetic field source. Nu(ave) is directly correlated with the Rayleigh number and radiation, but indirectly dependent on the Hartmann number.
Free convection in hybrid nanomaterial-saturated permeable media is crucial in various engineering applications. The present study aims to investigate the free convection of an aqueous-based hybrid nanomaterial through a zone under the combined effect of the Lorentz force and radiation. The natural convection of the hybrid nanomaterial is modeled by implementing a control volume finite element method (CVFEM)-based code, whereas Darcy assumptions are used to model the porosity terms in the momentum buoyancy equation involving the average Nusselt number Nu(ave), flow streamlines, and isotherm profiles. A formula for estimating Nu(ave) is proposed. The results show that the magnetic force retards the flow, and the fluid tends to attract the magnetic field source. Nu(ave) is directly correlated with the Rayleigh number and radiation; however, it is indirectly dependent on the Hartmann number. Conduction is the dominant mode at larger Darcy and Hartmann numbers.

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