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An analysis has been carried out to study heat and mass transfer
characteristics of an incompressible and Newtonian fluid having
temperature-dependent fluid viscosity and thermophoresis particle
deposition over a vertical stretching surface with variable stream
condition. The Rosseland approximation is used to describe the radiative
heat flux in the energy equation. The vertical surface is assumed to be
permeable so as to allow for possible wall suction or injection. The
governing differential equations are derived and transformed using Lie
group analysis. The transformed equations are solved numerically by
applying Runge-Kutta Gill scheme with shooting technique. Favorable
comparisons with previously published work on various special cases of
the problem are obtained. Numerical results for the velocity,
temperature and concentration profiles for a prescribed
temperature-dependent fluid viscosity and thermophoresis particle
deposition parameters are presented graphically to elucidate the
influence of the various physical parameters. |
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