UNSTEADY MIXED CONVECTION FLOW FROM A MOVING VERTICAL SLENDER CYLINDER IN THE PRESENCE OF VISCOUS DISSIPATION

An unsteady mixed convection flow over a continuously moving vertical slender cylinder is considered to investigate the combined effects of buoyancy force and thermal as well as mass diffusion in presence viscous dissipation and surface mass transfer, where the slender cylinder is inline with the flow. The unsteadiness in the flow, temperature and concentration fields is caused by the time dependent free stream velocity as well as by the continuously moving vertical slender cylinder. The effect of surface curvature is also taken into account, particularly for the applications as wire and fiber drawing where exact predictions are expected. The governing boundary layer equations are transformed into a non-dimensional form by a special group of non-similar transformations. The resulting system of coupled non-linear partial differential equations is solved by an implicit finite difference scheme in combination with the quasi-linearization technique. Numerical computations are performed over the range of parameters (0.7≤Pr≤7.0, 0.41 3.0λ − ≤ ≤ , 1.0 1.0N − ≤ ≤, 0.2 0.2Ec − ≤ ≤ , 2.0 2.0A − ≤ ≤ , 0.22 2.57Sc ≤ ≤ , 0 2.0ε ≤ ≤ , 0.75 0.75α − ≤ ≤, 0 1ξ ≤ ≤ ) display the velocity, temperature and concentration profiles graphically. The numerical results for the local skin-friction coefficient, local Nusselt number and local Sherwood number are also presented. Present results are compared with previously published work and are found to be in excellent agreement