Abstract
The present note consists, the effects of thermal diffusion and chemical reaction on MHD flow of dusty viscous incom-pressible, electrically conducting fluid between two vertical heated, porous, parallel plates with heat source/sink. The plate temperature is raised linearly with time and concentration level near the plate to Cw. The variable temperature and uniform mass diffusion taking into account the chemical reaction of first order. The series solution method is used to solve the mathematical equations. Effects of various parameters like chemical reaction (K), thermal diffusion (ST) and magnetic field (M) etc. on velocity profile, skin friction, concentration profile and temperature field are displayed graphically and discussed numerically for different physical parameters. The analysis developed here for thermal diffusion, bears good agreement with real life problems.
Highlights
Many transport processes exist in nature and industrial application in which the transfer of heat and mass occurs simultaneously as a result of combined buoyancy effects of thermal diffusion and diffusion of chemical species
We consider the effects of thermal diffusion and chemical reaction on the unsteady dusty flow of an incompressible, slightly conducting, visco-elastic fluid between two heated porous infinite parallel plates under the influence of uniform magnetic field normal to the flow field in presence of heat source/sink
A temperature field has been represented in Figure 1, which indicates the effects of heat source/sink parameter and Prandtl number
Summary
Many transport processes exist in nature and industrial application in which the transfer of heat and mass occurs simultaneously as a result of combined buoyancy effects of thermal diffusion and diffusion of chemical species. Singh [5] proposed the study of free convection and mass diffusion of a dusty visco-elastic (Walter’s Liquid Model-B) fluid flowing between two heated porous plates in porous media in presence of magnetic field. References [6,7] focused on the study of convective heat and mass transfer incompressible, viscous Boussinesq fluid in presence of chemical reaction of first order. Sharma et al [12] discussed the unsteady MHD free convection heat and mass transfer of viscous fluid flowing through a Darcian porous regime adjacent to a moving vertical semi-infinite plate under Soret and Dufour effect. 582 Effects of Thermal Diffusion and Chemical Reaction on MHD Flow of Dusty Visco-Elastic (Walter’s Liquid Model-B) Fluid sink. The effects of thermal diffusion parameter (Soret number), chemical reaction parameter etc. are discussed for different profiles
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