Numerical analysis of magnetohydrodynamics Casson nanofluid flow with activation energy, Hall current and thermal radiation

Abstract

In this study we analyzed the flow, heat and mass transfer behavior of Casson nanofluid past an exponentially stretching surface under the impact of activation energy, Hall current, thermal radiation, heat source/sink, Brownian motion and thermophoresis. Transverse magnetic field with the assumption of small Reynolds number is implemented vertically. The governing partial nonlinear differential equations of the flow, heat and mass transfer are transformed into ordinary differential equations by using similarity transformation and solved numerically by using Matlab bvp4c package. The impact of each of the Hall current parameter, thermal radiation parameter, heat source/sink parameter, Brownian motion parameter, Prandtl number, thermophoresis parameter and magnetic parameter on velocity, concentration and temperature, is discussed through graphs. The skin friction coefficient along the x-and z-directions, the local Nusselt number and the Sherwood number are calculated numerically to look into the inside behavior of the emerging parameters. It is witnessed that the flow velocity is a diminishing function of the thermal radiation parameter and the behavior has observed in the case of Hall parameter. Moreover, mounting values of Brownian motion parameter reduce the nanoparticle concentration profile.

Effects of Hall Current, Diffusion Thermos and Activation Energy on MHD Radiative Casson Nanofluid Flow with Chemical Reaction and Thermal Radiation

“…As part of the process to validate the numerical approach that was used, the results were compared to those that had been achieved in the past by Suresh Kumar et al, [7] for a variety of parameter values, and the result reveals that there is a good concordance, as can be seen in Table 2.…”

“…The study that Suresh Kumar et al, [7] did was the foundation for the current investigation, which is an extension of that work. In this research, we investigated the effects of Hall current, diffusion thermo, and activation energy on an electrically conducting Casson nanofluid fluid flow past in a vertical direction when a chemical reaction and thermal radiation were present.…”

“…The governing equations for Casson nanofluid along with continuity equation are followed by Suresh Kumar et al, [7]. In light of the premises discussed earlier and the Boussinesq approach, the following is the arithmetical representation of the problem…”

“…Li et al, [6] analyzed the effects of activation energy and chemical reaction on unsteady MHD dissipative Darcy-Forchheimer squeezed Casson fluid flow over the horizontal channel. Suresh Kumar et al, [7] studied the numerical analysis of magnetohydrodynamic Casson nanofluid flow with activation energy, Hall current, and thermal radiation. Kodi et al, [8] have discussed MHD Casson fluid flow past a vertical porous plate under the influence of thermal diffusion and chemical reaction.…”

Hall Current and Thermal Radiation Effects on MHD Nanofluid in the Presence of Heat Source/Sink, Brownian Motion and Thermophoresis with Inclined Plates

“…Li et al, [39] have expressed Effects of activation energy and chemical reaction on unsteady MHD dissipative Darcy-Forchheimer squeezed flow of Casson fluid over horizontal channel. Suresh Kumar et al, [40] have discussed Numerical analysis of magnetohydrodynamics Casson nanofluid flow with activation energy, Hall current and thermal radiation. Obulesu et al, [41] have possessed unsteady MHD on convective flow of a Newtonian fluid past an inclined plate in presence of chemical reaction with radiation absorption and Dufour effects.…”