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Influences of Cattaneo-Christov Heat Flux, Joule Heating, Viscous Dissipation and Chemical Reaction on Hydromagnetic Pulsating Flow of Oldroyd-B Nanofluid in a Porous Channel


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1 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu 632 014, India

In this present study, Cattaneo-Christov heat flux on the hydromagnetic pulsatile flow of Oldroyd-B nanofluid through a porous channel with the presence of Brownian motion, thermal radiation, and thermophoresis effects are studied. The effects of dissipation of viscous and Ohmic heating are considered. The Buongiorno model is taken into account in this analysis. By using the perturbation method the governing partial differential equations (PDEs) are converted into the ordinary differential equations (ODEs) and solved numerically by employing the Runge-Kutta 4th-order scheme along with shooting approach. The influence of distinct parameters on velocity, temperature, nanoparticle concentration, heat and mass transfer rates are examined in detail. The results indicate that nanofluid velocity increases with higher frequency parameter, and while it falls with rising Hartmann number, and cross-flow Reynolds number. An increase in thermophoresis parameter, Eckert number, radiation parameter, Brownian motion parameter leads to a rise in temperature whereas temperature decreases for increasing Hartmann number and thermal relaxation time parameter. Moreover, the nanoparticle concentration enhances with an increasing thermophoresis parameter, thermal relaxation time parameter while it falls with the rising values of Lewis number, chemical reaction parameter and Brownian motion parameter.
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  • Influences of Cattaneo-Christov Heat Flux, Joule Heating, Viscous Dissipation and Chemical Reaction on Hydromagnetic Pulsating Flow of Oldroyd-B Nanofluid in a Porous Channel

Abstract Views: 149  | 

Authors

G Venkatesan
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu 632 014, India
Subramanyam Reddy Anala
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu 632 014, India

Abstract


In this present study, Cattaneo-Christov heat flux on the hydromagnetic pulsatile flow of Oldroyd-B nanofluid through a porous channel with the presence of Brownian motion, thermal radiation, and thermophoresis effects are studied. The effects of dissipation of viscous and Ohmic heating are considered. The Buongiorno model is taken into account in this analysis. By using the perturbation method the governing partial differential equations (PDEs) are converted into the ordinary differential equations (ODEs) and solved numerically by employing the Runge-Kutta 4th-order scheme along with shooting approach. The influence of distinct parameters on velocity, temperature, nanoparticle concentration, heat and mass transfer rates are examined in detail. The results indicate that nanofluid velocity increases with higher frequency parameter, and while it falls with rising Hartmann number, and cross-flow Reynolds number. An increase in thermophoresis parameter, Eckert number, radiation parameter, Brownian motion parameter leads to a rise in temperature whereas temperature decreases for increasing Hartmann number and thermal relaxation time parameter. Moreover, the nanoparticle concentration enhances with an increasing thermophoresis parameter, thermal relaxation time parameter while it falls with the rising values of Lewis number, chemical reaction parameter and Brownian motion parameter.