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The interaction of free convection with thermal radiation of a viscous
incompressible unsteady MHD flow past a moving vertical
cylinder with heat and mass transfer is analyzed. The fluid is a gray,
absorbing-emitting but non-scattering medium and the Rosseland
approximation is used to describe the radiative heat flux in the energy
equation. The governing equations are solved using an implicit
finite-difference scheme of Crank-Nicolson type. Numerical results for
the transient velocity, the temperature, the concentration, the local as
well as average skin-friction, the rate of heat and mass transfer for
various parameters such as thermal Grashof number, mass Grashof number,
magnetic parameter, radiation parameter and Schmidt number are shown
graphically. It is observed that, when the radiation parameter increases
the velocity and temperature decrease in the boundary layer. Also, it is
found that as increase in the magnetic field leads to decrease in the
velocity field and rise in the thermal boundary thickness.
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