# Unsteady Heat and Mass Transfer in MHD Viscoelastic Fluid Flow through Porous Medium between Two Inclined Porous Parallel Plates with Soret Effect and G-Jitter Force

## Keywords:

Free Convection, Inclined Channel, MHD (Magneto Hydro-Dynamics), Viscoelastic Fluid, Soret Effect.## Abstract

The unsteady two-dimensional convective flow of a viscous incompressible, electrically conducting, viscoelastic fluid (Rivlin-Ericksen Model) through porous medium bounded between two inclined porous plates with time dependent injection and same suction velocity has been investigated. At the first plate where injection and same suction velocity has been investigated. At the first plate where injection is taking place is assumed to have a slip property while the other plate is moving with a constant velocity. A first order chemical reaction is considered. Magnetic field is applied transversely to the channel, and assumed so strong that the induced magnetic field is negligibly small. The inclination of channel with direction of gravity is assumed to be between 0 and 90 (acute angle). The effects of a number of non-dimensional parameters namely; Prandtl number (P_{r}), Grashof number (G

_{r}), modified Grashof number (G

_{c}), frequency of oscillation (Ï‰), viscoelastic parameter (R

_{c}), Soret number (S

_{0}) and heat absorption coefficient (Q

_{0}) entering into the problem on the velocity, temperature and concentration profiles are stud- ied in detail. Solution of the present problem is found analytically by the method of perturbation technique. Pertinent results regarding the effect of above said non-dimensional numbers for velocity, temperature and concentration profiles are concluded from graphs and tables. Scientific software and Origin software are used for numerical calculations and plot of graphs respectively. The contribution of the temperature gradient to the flux of matter (Soret effect), the effect of angle of inclination of channel and effect of g-jitter are the leading phenomenon.

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*The Journal of the Indian Mathematical Society*,

*83*(3-4), 289–312. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/6610