Abstract
An exact analysis of the flow of an incompressible viscous fluid past an infinite vertical plate is conducted taking into account the presence of foreign mass or constant mass flux and ramped wall temperature. The dimensionless governing coupled linear partial differential equations are solved using the Laplace transform technique. Two different solutions for the fluid velocity are obtained–one valid for the fluids of Schmidt numbers different from unity, and the other for which the Schmidt number is unity. The effects of Prandtl number (Pr), Schmidt number (Sc), time (t) and mass to thermal buoyancy ratio parameter (N) for both aiding and opposing buoyancy effects on the velocity and skin-friction are studied. Also, the heat and mass transfer effects on the flow near a ramped temperature plate have been compared with the flow near a plate with constant temperature.
Highlights
Free convection flows past a vertical surface or plate have been studied extensively in the literature due to applications in engineering and environmental processes
Close observation of the curves for aiding flows from both figures reveals that the velocity is greater in the presence of foreign mass than that in the presence of constant mass flux
A general analytical solution for the problem of the unsteady free convection flow past an infinite vertical plate subjected to a ramped wall temperature in the presence of i) foreign mass and ii) constant mass flux at the plate has been determined without any restrictions
Summary
The study of combined heat and mass transfer play an important role in the design of chemical processing equipment, nuclear reactors, formation and dispersion of fog etc Both steady-state and transient double-diffusive convection flows are of importance. Muthucumaraswamy et al [18] presented an exact solution to the problem of flow past an impulsively started infinite vertical plate in the presence of uniform heat and mass flux at the plate using Laplace transforms. It is proposed to study the effects of mass transfer on the free convection flow of an incompressible viscous fluid past an infinite vertical plate subject to ramped wall temperature for the cases of i) foreign mass and ii) constant mass flux at the plate.
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