Effects of viscous dissipation and chemical reaction on MHD squeezing flow of Casson nanofluid between parallel plates i

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Effects of viscous dissipation and chemical reaction on MHD squeezing flow of Casson nanofluid between parallel plates in a porous medium with slip boundary condition Nur Azlina Mat Noor , Sharidan Shafie, Mohd Ariff Admona Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia Received: 1 April 2020 / Accepted: 19 October 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract The present numerical study investigates magnetohydrodynamic squeezing flow of Casson nanofluid embedded in a porous medium with velocity slip under the influence of viscous dissipation and chemical reaction. Buongiorno’s nanofluid model is considered in this study. Suitable similarity transformations are used to convert the governing nonlinear partial differential equations into the system of nonlinear ordinary differential equations. Then, the equations are solved using an implicit finite difference scheme known as Keller-box method. The present method is validated by comparing the numerical results of skin friction coefficient, Nusselt and Sherwood numbers with previous published results and found to be in good agreement. Graphical results for velocity, temperature and nanoparticles concentration as well as wall shear stress, heat and mass transfer rate are examined with pertinent parameters. Findings reveal that fluid velocity and wall shear stress increase when the plates move closer. Also, increment of Casson and Hartmann number reduce the fluid velocity, temperature and nanoparticles concentration. The presence of viscous dissipation and thermophoresis enhance the fluid temperature and the convective heat transfer rate. Moreover, the rate of convective mass transfer decrease when Brownian motions of nanoparticles occurs, while it rises with increase in chemical reaction and thermophoresis.

1 Introduction Ultrahigh-performance cooling is one of the essential requirements in the industrial technologies. However, conventional heat transfer fluids such as water, ethylene glycol or engine oil have low thermal conductivity which not applicable to be implemented in the high efficiency electronic devices. Hence, a new class of fluid known as nanofluid with good heat transfer capability was introduced by Choi and Eastman [1]. Nanofluid is a fluid suspension consists of metallic nanoparticles suspended in the conventional fluid. Eastman et al. [2] have proven that the presence of copper particles (10 nm) enhance the thermal conductivity of ethylene glycol up to 40%. It is due to the fact that the dispersed of nanosized particles boosts the capability of energy exchange in the fluid. The development of nanofluid coolants result in

a e-mail: [email protected] (corresponding author)

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better energy savings and emission reductions [3]. Wong and De Leon [4] suggested that iron-based nanoparticles can be employed as nanodrug delivery in cancer patien