Buoyancy Reaction on Unsteady MHD Couette Flow in Free Convective Vertical Channels Due to Onset of Soret Effect

Abstract

A numerical investigation was carried out to study Soret effect on
unsteady heat and mass transfer Couette flow in free convective
vertical channels in the presence of buoyancy distribution effects due
to ramped and isothermal temperature. The governing coupled nonlinear partial differential equations of the flow were transformed
into non-dimensional form using suitable dimensionless quantities.
The non-linear time dependent momentum, energy and
concentration equations under suitable initial and boundary
conditions were solved using Finite Element Method (FEM). The
expressions of velocity, temperature, concentration, skin friction,
Nusselt number as well as Sherwood number have been obtained
subject to isothermal and ramped temperature boundary conditions.
Selected set of graphical results illustrating the effects of controlling
parameters involved in the flow formations were discussed using line
graphs. From the outcome of the results, it was revealed that
increase of porosity parameter K, ratio of mass transfer parameter
N, buoyancy effect term parameter rt, Eckert number Ec and time
parameter t enhances the velocity while reverse is the case with the
with increase of Magnetic parameter M, Prandtl number Pr,Schmidt
number Sc and time parameter t, Soret numberSr and time parameter
t. Similarly increase of porosity parameter K, ratio of mass transfer
parameter N, buoyancy effect term parameter rt, enhances the
temperature profile and reverse is the case with the increase of,
Prandtl number Pr. Also concentration profile get enhanced with the
increase of Schmidt ???????? and reverse is the case with increase of Soret
number Sr.The skin friction at both y = 0 and y = 1 gets intensified
with the increase Soret number and buoyancy parameter rt for both
ramped and isothermal temperature