We analyse the effects of aligned magnetic field, radiation, and rotation on unsteady hydromagnetic free convection flow of a viscous incompressible electrically conducting fluid past an impulsively moving vertical plate in a porous medium in presence of heat source. An exact solution of the governing equations in dimensionless form is obtained by Laplace transform technique in ramped temperature case. To compare the results obtained in this case with that of isothermal plate, the exact solution of the governing equations is also obtained for isothermal plate and results are discussed graphically in both ramped temperature and isothermal cases.

Sandeep naramgari

Sugunamma vangala

Mohankrishna penem

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Aligned Magnetic Field, Radiation, and Rotation Effects on Unsteady Hydromagnetic Free Convection Flow Past an Impulsively Moving Vertical Plate in a Porous Medium

International Journal of Engineering Mathematics

This paper deals with the heat and mass transfer in unsteady flow of Powell-Eyring fluid past an inclined stretching sheet in the presence of radiation, non-uniform heat source/sink and chemical reaction with suction/injection effects. The governing equations are reduced into system of ordinary differential equations using similarity transformation and solved numerically using Runge-Kutta based shooting technique. Results display the influence of governing parameters on the flow, heat and mass transfer, friction factor, local Nusselt and Sherwood numbers. Comparisons are made with the existed studies. Present results have an excellent agreement with the existed studies. Results indicate that an increase in the chemical reaction parameter depreciates the friction factor, heat transfer rate and enhances the mass transfer rate. Dual solutions exist only for certain range of suction/injection parameters.

Journal of Naval Architecture and Marine Engineering

Dual solutions for unsteady flow of Powell-Eyring fluid past an inclined stretching sheet

The objective of the present study is to investigate the heat and mass transfer characteristics of the MHD stagnation-point flow of gyrotactic microorganisms contained nanofluid past a nonlinear stretching/shrinking sheet in presence of space and temperature dependent internal heat generation/absorption with suction/injection. The governing partial differential equations are transformed to system of ordinary differential equations by using similarity transformation and then solved numerically using Runge-Kutta based shooting technique. The influence of non-dimensional governing parameters on velocity, temperature, nanoparticle volume fraction and density of the motile microorganisms along with friction factor, local Nusselt number, local Sherwood number and the local density of the motile microorganisms was discussed and presented through graphs and tables. Dual solutions are presented for certain range of suction and injection parameters. The validity of the present results compared with the existed results.

International Journal of Engineering Research in Africa

Dual Solutions for Heat and Mass Transfer in MHD Bio-Convective Flow over a Stretching/Shrinking Surface with Suction/Injection

In this paper, we investigated the effects of hall current and thermal diffusion on an unsteady flow of a nanofluid in the presence of inclined magnetic field and volume fraction of nanoparticles. We considered copper nanoparticles with base fluid as water and presented dual solutions for water and Cu-water cases. An analytical solution of the problem was performed using perturbation technique. The effects of various non-dimensional governing parameters on velocity, temperature and concentration fields along with the friction factor, local Nusselt and Sherwood numbers are discussed and presented through graphs and tables. To validate the results of the present study we compared the present results with the existed results and found an excellent agreement. Moreover, through this study we observed that an increase in the Hall current parameter increases the velocity profiles and depreciates the friction factor. It is also observed that an increase in Soret number causes to enhance the velocity and concentration boundary layer thicknesses.

Thermo Diffusion and Hall Current Effects on an Unsteady Flow of a Nanofluid under the Influence of Inclined Magnetic Field

In this paper, we analyzed the thermophoresis and Brownian motion effects on the boundary layer flow of a magnetohydrodynamic Eyring-Powell nanofluid over a permeable cone in the presence of buoyancy forces and suction/injection effects. The governing partial differential equations are transformed into set of non-linear coupled ordinary differential equations by using self-suitable transformations, which are then solved numerically using Runge-Kutta fourth order along with shooting technique. The obtained results present the effects of various non-dimensional governing parameters on velocity, temperature and concentration profiles. Also, enumerated and analyzed the friction factor, local Nusselt and Sherwood numbers. We presented dual solutions for suction and injection cases and found an excellent agreement of the present results with the existed studies under some special limited cases. Result indicates that dual solutions are available only for particular range of suction or injection parameter and Eyring-Powell parameter have tendency to enhance the heat transfer rate.

Heat and Mass Transfer in MHD Eyring-Powell Nanofluid Flow due to Cone in Porous Medium

A mathematical model has been proposed for analyzing the momentum, heat and mass transfer in Bio-convection flow towards a rotating cone/plate in a rotating fluid with nonlinear thermal radiation and chemical reaction. In this study we considered gyrotactic microorganism’s contained Williamson fluid. Numerical results are carried out by using Runge-Kutta based shooting technique. The effects of dimensionless governing parameters on the flow, heat and mass transfer are illustrated graphically. It is also computed the friction factors for the tangential and azimuthal directions, local Nusselt and Sherwood numbers along with the local density of the motile organisms. It has been observed a good agreement of the present results with the existed literature. The obtained results indicate that the heat and mass transfer rate is significantly increases for higher values of buoyancy parameter and Biot number. It is also found that the heat and mass transfer performance in Bio-convection flow is significantly high on the flow over a rotating plate while compared with the rotating cone.

Journal	International Journal of Engineering Mathematics
Publisher	Hindawi Limited
ISSN	2356-7007
Open Access	Yes