Abstract
Present work deals with the magneto-hydro-dynamic flow and heat transfer of Casson nanofluid over a non-linearly stretching sheet. Non-linear temperature distribution across the sheet is considered. More physically acceptable model of passively controlled wall nanoparticle volume fraction is accounted. The arising mathematical problem is governed by interesting parameters which include Casson fluid parameter, magnetic field parameter, power-law index, Brownian motion parameter, thermophoresis parameter, Prandtl number and Schmidt number. Numerical solutions are computed through fourth-fifth-order-Runge-Kutta integration approach combined with the shooting technique. Both temperature and nanoparticle volume fraction are increasing functions of Casson fluid parameter.
Highlights
Many industrial as well as biological fluids such as lubricating greases, multi-grade oils, gypsum pastes, printer inks, ceramics, polymers, liquid detergents, blood, paints, fruit juices etc. change their viscosity or flow behavior under stress and deviate from the classical Newton’s law of viscosity
The arising mathematical problem is governed by interesting parameters which include Casson fluid parameter, magnetic field parameter, power-law index, Brownian motion parameter, thermophoresis parameter, Prandtl number and Schmidt number
Casson fluid behaves as solid when the shear stress is less than the yield stress and it starts to deform when shear stress becomes greater than the yield stress
Summary
Many industrial as well as biological fluids such as lubricating greases, multi-grade oils, gypsum pastes, printer inks, ceramics, polymers, liquid detergents, blood, paints, fruit juices etc. change their viscosity or flow behavior under stress and deviate from the classical Newton’s law of viscosity. The most commonly used power-law model has tendency to describe shear-thinning as well as shear-thickening behavior It cannot explain the normal stress differences in the flow. A detailed description about the non-Newtonian/viscoelastic models can be found in Kumari et al.[1] Casson fluid model is a preferred rheological model for many fluids including blood and chocolate In a very recent study, the axisymmetric flow of nanofluid induced by a radially stretching sheet was addressed by Mustafa et al.[22] They used the revised model for passive control of nanoparticle volume fraction at the boundary. The current paper aims to study the flow of Casson nanofluid over a sheet stretched nonlinearly with the general power-law velocity distribution of the form uw = cxn. The behaviors of embedded parameters are emphasized through graphical results
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