This paper deals with the effects of heat and mass transfer on two-dimensional unsteady MHD free convection flow past a vertical porous plate in a porous medium in the presence of thermal radiation under the influence of Dufour and Soret effects. The governing nonlinear partial differential equations have been reduced to the coupled nonlinear ordinary differential equations by the similarity transformations. The resulting equations are then solved numerically using shooting method along with Runge-Kutta fourth order integration scheme. The numerical results are displayed graphically showing the effects of various parameters entering into the problem. Finally, the local values of the skin-friction coefficient, Nusselt number and Sherwood number are also shown in tabular form.Ó 2014 Production and hosting by Elsevier B.V. on behalf of Ain Shams University.
Numerous industrial processes such as continuous metal casting and polymer extrusion in metal spinning, include flow and heat transfer over a stretching surface. The theoretical investigation of magnetohydro-dynamic thermally radiative non-Darcy Nanofluid flows through a stretching surface is presented considering also the influences of thermal conductivity and Arrhenius activation energy. Buongiorno’s two-phase Nanofluid model is deployed in order to generate Thermophoresis and Brownian motion effects [1]. By similarity transformation technique, the transport equations and the respective boundary conditions are normalized and the relevant variable and concerned similarity solutions are presented to summarize the transpiration parameter. An appropriate Matlab software (Bvp4c) is used to obtain the numerical solutions. The graphical influence of various thermo physical parameters are inspected for momentum, energy and nanoparticle volume fraction distributions. Tables containing the Nusselt number, skin friction and Sherwood number are also presented and well argued. The present results are compared with the previous studies and are found to be well correlated and are in good agreement. The existing modelling approach in the presence of nanoparticles enhances the performance of thermal energy thermo-plastic devices.
The present analysis is focused on free convective heat and mass transfer characteristics of magneto flow through a moving inclined plate under the influence of Aligned magnetic, viscous dissipation and thermal radiation. A uniform magnetic field is applied perpendicular to the plate. The governing non-dimensional linear partial differential equations are solved by using perturbation technique. Graphical results for the velocity, temperature and concentration distributions within the boundary layer for several physical parameters and tabulated results for the Skin-friction, the Nusselt number and the Sherwood number are displayed and discussed. The effect of increasing values of the viscous dissipation parameter or the Eckert number is to enhance the velocity and temperature fields. The current study is well supported by the verification of a previous result.
The effect of chemical reaction on MHD free convection heat transfer flow of a nanofluid bounded a semi-infinite flat surface in a rotating frame of reference is theoretically investigated. The velocity along the plate (slip velocity) is assumed to oscillate on time with constant frequency. The analytical solutions of different water based nanofluids containing TiO2, Al2O3, Ag, Cu and CuO of the boundary layers are assumed, to keep the problem as realistic as possible. The dimensionless governing equations for this investigation are solved analytically by using the small perturbation Technique. The effects of various physical parameters on velocity, temperature and concentration fields are presented graphically. The enhancement in magnetic parameter leads to a considerable reduction in velocity and chemical reaction parameter is predominant in controlling the concentration profile. The results obtained in the simulation of perturbation method are in well agreement with realistic situation of the scientific scenario.
The entropy analysis of the magnetohydrodynamic (MHD) thermal convection flow of a nanofluid past an inverted cone with suction/injection is presented in this article. The Buongiorno's model is adopted for nanofluid transport, considering the Brownian motion and thermophoresis effects. The governing partial differential conservation equations and wall and freestream boundary conditions are rendered into a nondimensional form and solved computationally using the Keller‐Box finite‐difference method. The entropy analysis due to MHD fluid flow and viscous dissipation is also included. The numerical results are presented graphically for the impact of various thermophysical parameters on velocity, temperature, nanoparticle volume fraction, shear stress rate, heat transfer rate, and mass transfer. Validations with earlier solutions in the literature are also included. A comprehensive description of the simulations is included. It is observed that velocity and temperature are enhanced with the increase in Brownian motion parameter values, whereas concentration, entropy, and Bejan number are reduced. An increase in the thermophoresis parameter and buoyancy ratio parameter reduces velocity and entropy, but increases temperature, concentration, and Bejan number. An increase in the magnetic parameter is found to decrease velocity, entropy generation number, and Bejan number, but it increases temperature and concentration. Also, an increase in the suction/injection parameter is seen to reduce velocity, temperature, concentration, and Bejan number, but the entropy generation number is observed to increase. The study finds applications in heat exchangers technology, materials processing, solar energy systems, cooling and heating processes, environmental applications, geothermal energy storage, and so on.
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