In the present problem a magnetohydrodynamic (MHD) three dimensional Casson fluid flow past a porous linearly stretching sheet is investigated, introducing convective boundary condition at the surface where the thermal conductivity of the fluid varies linearly with respect to the temperature. Computations are performed for the velocity and temperature fields for different parameters. Spectral Relaxation Method (SRM) is used to solve the governing equations. The present results are compared with existing limited solutions, showing good agreement with each other and with different parameters. Graphs for the velocity and temperature are plotted to examine the behaviors with different parameters. The influence of the skin friction and local Nusselt number for different parameters is discussed and presented in tabular form. ª 2015 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
In the present study, we investigate the velocity, thermal, solutal, and motile micro-organism (MM) slip effects on the flow of chemically reactive Casson nanofluid flowing over an exponentially stretched electromagnetic sheet in the presence of a chemical reaction. In addition, a mechanism of improving the motion of nanoparticles (Brownian motion and thermophoresis) is incorporated. The nondimensionalized ordinary differential equations are tackled by using symbolic computation software, MATLAB 2012b, with bvp4c function. Some significant and relevant characteristics of associated profiles are displayed graphically and discussed beautifully with the aid of tables through comprehensive numerical computations. The results of the study show that elevated Casson fluid parameter, gyrotactic micro-organism, and electromagnetic strength belittle both axial as well as transverse velocities and the related momentum boundary layer thickness. Another important outcome is that low Prandtl fluids and enhancement in the strength of electromagnetic field fasten the diffusion of micro-organisms, thereby augmenting the density of MM in the related boundary layer. K E Y W O R D S Casson nanofluid, electromagnetic exponential stretching sheet, gyrotactic micro-organism, triple diffusive bioconvection
In the present study, the effects of radiation on MHD free convection from a cylinder with partial slip in a Casson fluid in non-Darcy porous medium is investigated. The surface of the cylinder is heated under constant surface temperature with partial slip. Partial slip factors are considered on the surface for both velocity and temperature. The boundary layer equations are normalized into a system of non-similar partial differential equations and are then solved using a bi-variate quasilinearization method (BQLM). The boundary layer velocity and temperature profiles are computed for different values of the physical parameters. Increasing the Forchheimer parameter decreases the temperature profiles. The decrease of the velocity profiles with the increase in magnetic parameter is more enhanced in the presence of the velocity slip factor. Increasing the Eckert number increases the temperature profiles in both suction and blowing cases. This study considers the unique problem of the effect of transpiration in a Casson fluid in the presence of radiation, a magnetic field, and viscous dissipation. The results obtained in this study are compared with other numerical methods and were found to be in excellent agreement.
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