Abstract:
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ABSTRACT
The unsteady laminar boundary layer hydromagnetic flow of an incompressible, viscous,
and electrically conducting Newtonian fluid over a stretching sheet embedded in a porous
medium in a rotating system has been investigated. The fluid is subjected to a transverse
magnetic field that cuts perpendicularly across the flow in the positive direction of the
z‐axis. The flow takes place between two parallel flat sheets that are made of an electrically
non‐conducting material. The stretching sheet has a permeable surface, while the surface of
the other sheet is impermeable. Each of the sheets has an isothermal surface, and both
sheets are kept at different temperatures of and such that the temperature
differences within the flow are sufficiently small. The small magnitude of the temperature
difference allows expression of the Taylor series expansion about the freestream
temperature as a linear function of temperature at any interior point within the flow
region. The unsteady boundary layer flow over a permeable sheet that stretches with a
linear velocity has been investigated. The effect of varying various parameters on the
velocity, temperature and concentration profiles has been discussed. These parameters
include the Reynolds number Re, Prandtl number Pr, Eckert Number Ec, Magnetic
parameter M, the Suction parameter , Joule heating parameter N, Radiation parameter R,
Permeability constant Xi, Rotational parameter Ro, local temperature Grashof number ,
the local mass Grashof number , Schmidt number Sc, Soret number Sr and time t. The
coupled non‐linear partial differential equations governing the flow field have been solved
numerically using the finite difference method. The results that are obtained are then
presented on graphs and the observations are discussed. Later the method of Least Squares
xxi
is used to study the effect of changing some of these parameters on the skin‐friction coefficients, rate of mass transfer and local wall heat flux. A change in the parameters is observed to either increase, decrease or to have no effect on the velocity, temperature, and concentration profiles respectively. The results that are obtained are presented in tables and then discussed. A change in the various parameters is observed to alter the velocity profiles, the concentration profiles, the temperature profiles, the rate of skin friction, the rates of heat and mass transfer on the surface of the stretching sheet.
