Simulation of natural convective boundary layer flow of a nanofluid past a convectively heated inclined plate in the presence of magnetic field

GOYAL, Mania and BHARGAVA, Rama (2018). Simulation of natural convective boundary layer flow of a nanofluid past a convectively heated inclined plate in the presence of magnetic field. International Journal of Applied and Computational Mathematics, 4 (2), p. 63.

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Abstract

AbstractThis paper deals with the numerical simulation of transient magnetohydrodynamics natural convective boundary layer flow of a nanofluid over an inclined plate. In the modeling of nanofluids, dynamic effects including the Brownian motion and thermophoresis are taken into account. Numerical solutions have been computed via the Galerkin-finite element method. The effects of angle of inclination, buoyancy-ratio parameter, Brownian motion, thermophoresis and magnetic field are taken into account and controlled by non-dimensional parameters. To compute the rate of convergence and error of the computed numerical solution, the double mesh principle is used. Similarity solutions are calculated and presented graphically for non-dimensional velocity, temperature, local rate of heat and mass transfer with pertinent parameters. The modified Nusselt number decreases with increasing inclination angle, buoyancy-ratio parameter, Brownian motion and thermophoresis parameter, whereas it increases with increasing Prandtl number. Validation of the results is achieved with earlier results for forced convective flow and non-magnetic studies. Such problems have several applications in engineering and petroleum industries such as electroplating, chemical processing of heavy metals and solar water heaters. External magnetic fields play an important role in electrical power generation, inclination/acceleration sensors, fine-tuning of the final materials to industrial specification because of their controlling behaviour on the flow characteristics of nanofluids.

Item Type:	Article
Additional Information:	** From Springer Nature via Jisc Publications Router. ** History: epub 24-02-2018; collection 04-2018. ** Licence for this article: http://creativecommons.org/licenses/by/4.0/
Uncontrolled Keywords:	Original Paper, Nanofluid, MHD, Inclined plate, Similarity solution, Convective boundary condition, Finite element method, Double mesh principle
Identification Number:	https://doi.org/10.1007/s40819-018-0483-0
Page Range:	p. 63
SWORD Depositor:	Margaret Boot
Depositing User:	Margaret Boot
Date Deposited:	19 Apr 2018 14:01
Last Modified:	18 Mar 2021 15:18
URI:	https://shura.shu.ac.uk/id/eprint/20897

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