Partial Differential Equations in Applied Mathematics (Dec 2021)

Entropy analysis of nonlinear radiative Casson nanofluid transport over an electromagnetic actuator with temperature-dependent properties

  • E.O. Fatunmbi,
  • A.T. Adeosun,
  • S.O. Salawu

Journal volume & issue
Vol. 4
p. 100152

Abstract

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This paper examines the transport of nonlinear radiative Casson nanoliquid past a vertical electromagnetic actuator with temperature-dependent transport properties and entropy analysis. The model incorporates the Grinberg-term containing the influence of Lorentz force impinged by the actuator and the impact of the thermo-migration and Brownian motion of nanoparticles. The main equations are translated into non-dimensional forms via appropriate dimensionless variables and then solved using Chebyshev collocation method and verified by Galerkin type of weighted residual method and existing studies found in literature. From the study, the reactions of the embedded physical quantities of interest on the fields of velocity, temperature, nanoparticles concentration and entropy generation number are communicated graphically and deliberated upon. The implications of the results are that the modified Hartmann number aids the fluid flow as the Richardson number boosts the hydrodynamic boundary layer thickness whereas the converse occurs with Casson fluid material parameter. Also, the entropy generation is enhanced in the existence of viscous dissipation and suction while it declines with thermophoretic influence. Conclusively, it is found that the rate of entropy generation can be reduced by augmenting the magnitudes of the thermophoresis and Brownian motion parameters.

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