A Numerical Study On Soret And Magnetic Field Effects On Mhd Radiating And Reacting Flowpast An Exponentially Accelerated Inclined Plate

ABSTRACT

This dissertation investigates the magnetic field and Soret influence on MHD unsteady

free convection radiating and reacting fluid past an exponentially accelerated inclined

infinite porous plate of uniform permeability with variable temperature and concentration

numerically. In this model the fluid is considered a gray, emitting absorbing

radiation but a non-scattering medium and a magnetic field of intensity B0 is imposed

in the perpendicular direction to the plate. The governing equations of the model are

transformed into dimensionless form by adopting suitable non-dimensional variables

and parameters, then the resulting coupled non-linear PDE´s are solved by the finite

difference method. The influence of flow control parameters on the velocity, concentration

and temperature fields are illustrated graphically whilst numerical results of the

skin friction, Sherwood and Nusselt numbers are displayed in Tables. It is found that

permeability of the medium, thermal and mass buoyancy force improve the fluid velocity

whilst the magnetic field and inclination angle have reverse effect. The fluid

velocity and temperature tends to decrease with an increment in radiation parameter

whilst reverse trend is noticed in case of Nusselt number. The Soret effect is to elevate

the fluid velocity and concentration whilst chemical reaction rate has reverse impact,

and these parameters have opposite effect on the Sherwood number. The progression

of time escalates the fluid velocity, temperature and concentration whilst it has a reverse

effect on the skin friction, Sherwood and Nusselt numbers. This flow model

has various industrial applications in the field of food processing, polymer production,

design of fins, steel rolling,