Three-Dimensional MHD Mixed Convection Flow of Casson Nanofluid with Hall and Ion Slip Effects

Wubshet Ibrahim,Temesgen Anbessa

doi:10.1155/2020/8656147

Wubshet Ibrahim, Temesgen Anbessa

Open Access

https://doi.org/10.1155/2020/8656147

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Abstract

The intention of the present study is to scrutinize the three-dimensional MHD mixed convection flow of Casson nanofluid over an exponentially stretching sheet using the impacts of Hall and ion slip currents. Moreover, the impacts of thermal radiation and heat source are considered in this study. The governing partial differential equations are transformed into a system of joined nonlinear ordinary differential equations using similarity transformations, and they are solved numerically employing a spectral relaxation method (SRM). The obtained results are contrasted with existing specific cases, and a reasonable harmony is established. The impacts of noteworthy physical parameters on the velocities, thermal and concentration distributions, skin friction coefficients, local Nusselt number, and local Sherwood number are investigated graphically. It is found that the rise in Casson fluid and magnetic field parameters reduce the velocity profiles along bothx−andy−directions while the reverse tendency is observed with an increment in Hall, ion slip, and mixed convection parameters. Moreover, the increase in both radiation and heat source parameters enhances the temperature profile. It is also observed that both the skin friction coefficients reduced with an increase in Casson fluid, Hall, and ion slip parameters. Furthermore, the local Nusselt number enhances with an augment in radiation parameter, whereas the opposite trends of local Nusselt and Sherwood numbers are found with an increase in heat source parameter.

Highlights

Nanofluid is a kind of heat transport medium containing nanoparticles less than 100 nm which are consistently and steadily dispersed in a base fluid like water, oil, and ethylene glycol. ese dispersed nanoparticles, mostly a metal or metal oxide, enormously improve the thermal conductivity of the nanofluid and enhance conduction and convection coefficients taking into consideration more heat transport
Reddy et al [1] utilized finite element method to portray the impact of magnetohydrodynamic boundary layer stream and heat transport of nanofluid over a porous contracting sheet with divider mass suction and heat source/sink. ey found that an increase in magnetic field and suction parameters leads to a rise in velocity profile, whereas opposite trends of the temperature and nanoparticle volume fraction profiles are observed
The major results of the present study are (a) e velocity profiles along both x− and y−directions enhance with an increment in the Hall parameter and ion slip parameter while the opposite inclination is observed with a rise in Casson fluid parameter (β) and magnetic field parameter (M)

Summary

Introduction

Nanofluid is a kind of heat transport medium containing nanoparticles less than 100 nm which are consistently and steadily dispersed in a base fluid like water, oil, and ethylene glycol. ese dispersed nanoparticles, mostly a metal or metal oxide, enormously improve the thermal conductivity of the nanofluid and enhance conduction and convection coefficients taking into consideration more heat transport. Ramya et al [2] numerically dissected the boundary layer viscous flow of nanofluids and heat transport over a nonlinearly extending sheet within the sight of a magnetic field utilizing Keller box method and found that the temperature profile and nanoparticle concentration increment with expanding values of the magnetic parameter. Zhao et al [3] have explored the three-dimensional stream and heat transport of a nanofluid in the boundary layer region over a flat sheet extended constantly in two lateral directions utilizing homotopy analysis method (HAM), and they reported that the heat transport conductivity of the nanofluid is greater than that of the pure fluids. Hayat et al [5] computed three-dimensional boundary layer stream of viscous nanofluid over a bidirectional linearly extending sheet within the sight of Cattaneo–Christov two fold diffusion and reported that temperature and concentration profiles reduced with an increment in thermal and concentration relaxation parameters

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