Free convective flow of a Jeffrey fluid in a vertical deformable porous stratum is investigated. It is assumed that heat is generated within the fluid by both viscous and Darcy dissipations. The velocity, displacement and the temperature distributions are evaluated using a perturbation method valid for small values of buoyancy parameter N . The effects of Jeffrey parameter, f  and s  on the flow velocity and solid displacement are discussed in detail. In the absence of Jeffrey parameter, deformable porous parameters and the pressure gradient, all the results reduce to the corresponding results of Rudraiah et al. (1977). Higher skin friction is observed for a given buoyancy force for a non-Newtonian Jeffrey fluid when compared with Newtonian fluid. On comparing deformable and undeformable porous layers of present work and Rudraiah et al. (1977), we conclude that the skin friction gets reduced when the porous material is a deformable one. It is noticed that the effect of increasing Jeffrey parameter is to increase the skin friction in the deformable porous stratum.

Numerical approach for a non-linear mixed convective magnetohydrodynamic two-dimensional Carreau nanofluid through an exponentially permeable stretching surface with viscous dissipation and velocity slip under the influence of Arrhenius activation energy in chemical reaction is reported. The effects of thermophoresis and Brownian motion are considered. The governing nonlinear equations of this model are transmuted into ODE’s through similarity variables and solved them with a shooting method based on R-K 4th order. Responses of fluid velocity, transfer rates (heat and mass) versus pertinent parameters of the problem for suitable values are obtained and the computational calculations for friction coefficient, Nusselt number and Sherwood number for the both suction and injections regions are presented in plots and tables. It is found that fluid velocity is an increasing function of Weissenberg number. Momentum boundary layer thickness is depressed by magnetic field impact. Increasing trend in Carreau fluid temperature is noticed due to larger values of thermophoresis and Brownian motion effects. Concentration field is a decreasing function of Brownian motion but an increasing function of thermophoresis. Activation energy augments the concentration curves and lowered by Schmidt number. Comparison of the results is made with already published results and we got good agreement.

A numerical review on magnetohydrodynamics radiative motion of Cross nanofluid across an exponentially stretchable surface near stagnation point with varying heat source/sink is addressed. Brownian movement and thermophoretic impacts are assumed. The governing equations for this study are first altered as a system of ordinary differential equations by similarity transformation. With an aid of the Runge–Kutta 4th order mechanism together with the shooting procedure, the impacts of several pertinent parameters including chemical reaction on regular profiles (velocity, temperature, and concentration) are explicated. The consequences of the same parameters on surface drag force, transfer rates of heat, and mass are visualized in tables. From the analysis, it was noticed that the magnetic field parameter enhances the temperature and decreases the velocity of the Cross nanofluid. Also, fluid temperature is an increasing function with thermal radiation and nonuniform heat source/sink. The rate of heat transfer is increased with thermophoresis and diminished with Brownian motion. Sherwood's number is diminished with Brownian motion but it was boosted up with thermophoresis. The present results are compared with published results and those are in agreement.

This manuscript presents an analytical investigation on unsteady MHD free convective viscous incompressible flow of electrically conducting Jeffery fluid with heat source, past an infinite vertical porous flat plate in slip flow regime. A uniform magnetic field perpendicular to the plate is applied. The presence of thermal radiation, heat source, radiation absorption and chemical reaction are included. The effects of flow parameters and thermo physical properties on the velocity temperature and concentration fields across the boundary layer are investigated. The forms of the wall Shear stress, Nusselt number and Sherwood number are derived. The results are shown in figures and tables followed by a quantitative discussion.

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In this manuscript a study of the unsteady magneto-hydrodynamic mixed convection Jeffrey fluid flow over an inclined permeable moving plate in presence of thermal radiation, heat generation, thermophoresis effect and homogenous chemical reaction, subjected to variable suction has been undertaken. The governing equations are solved by using a regular perturbation technique. The expressions for the distributions of velocity, temperature and species concentration are obtained. With the aid of these, the expressions for skin friction, Nusselt number and Sherwood number also have been derived. The influences of various physical parameters involved in the problem on the above mentioned quantities are discussed with the help of graphs and tables. From the significant findings, it has been found that the velocity increases with an increase in Soret number in the presence of permeability. It shows reverse effects in the case of heat absorption coefficient, magnetic parameter, radiation parameter and chemical reaction parameter.Keywords

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