MHD slip flow and heat transfer of Casson nanofluid over an exponentially stretching permeable sheet

Abstract

The aim of the present paper is to discuss the boundary layer flow induced in a nanofluid due to a stretching permeable sheet in the presence of a magnetic field. Instead of no-slip boundary conditions, slips at the boundary have been considered. Casson fluid model was used to characterise the non-Newtonian fluid behaviour. The effects of Brownian motion and thermophoresis on heat and mass transfer were considered. Using similarity transformations, the governing partial differential equations were transformed into ordinary ones. The self-similar equations were then solved numerically using shooting technique with fourth order Runge-Kutta method. The solutions for velocity, temperature and concentration fields depended on the pertinent parameters. It was observed that the velocity decreased but the temperature and nanoparticle volume fraction increased with the increase of Casson fluid parameter. With the increase in velocity slip parameter as well as magnetic parameter, fluid velocity decreased. Due to increase in thermal slip, temperature decreased and with the increase in mass slip parameter, concentration also decreased. Temperature was found to increase but the nanoparticle volume fraction decreased due to the Brownian motion. On the other hand, temperature and nanoparticle volume fraction were both found to increase with the increase of thermophorosis parameter as well as with the increasing strength of magnetic parameter. Thus, velocity slip at the boundary and magnetic parameter acted as flow controlling parameters. It is believed that this type of investigation is very much helpful for the manufacturing of complex fluids and also for cleaning oil from surfaces.

A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator

“…And some interesting results related to the compatibility of this method with the Stokes problem have been established. In [8], Ghosh et al present the investigations on Casson uid model with over an exponentially stretching permeable sheet, validate their results by comparing their results with the results in the literature. In [9], Hamid proposes the numerical solutions of the uids models in the context of fractional order derivative.…”

“…The second step consists of integrating the fractional dierential equation between 0 to κ, taking into account the approximate solution Eq. (8). The last step consists of solving the obtained fractional dierential equation after single integration between 0 to κ, which depends eventually on time.…”

“…For the double integral methods, according to Goodman proposition, we conserve the approximate analytical solution given in Eq. (8). The second step consists of applying the double integration on the fractional dierential equation, the rst integration between 0 to κ, and the second integration between z to κ by taking into account the approximate solution Eq.…”

“…The second step consists of applying the double integration on the fractional dierential equation, the rst integration between 0 to κ, and the second integration between z to κ by taking into account the approximate solution Eq. (8). The last step consists of solving the obtained fractional dierential equation after the double integration.…”

Hall and ion slip current’s impact on magneto-sodium alginate hybrid nanoliquid past a moving vertical plate with ramped heating, velocity slip and Darcy effects

“…When less shear stress than the yield stress is applied, such fluid behaves like a solid, i.e. no flow occurs and it moves if the applied shear stress is greater than the yield stress (Ghosh and Mukhopadhyay, 2017). In this shear-thinning fluid model, it is assumed to have an infinite viscosity at zero rate of shear, a yield stress below which no flow occurs and a zero viscosity at an infinite rate of shear.…”