Unsteady Convective Heat and Mass Transfer Flow in a Thin Liquid Film Over Moving Sheet in a Saturated Permeable Surface

Abstract

In this paper, the unsteady convective heat and mass transfer flow in a thin liquid film over moving sheet in a saturated permeable surface has been investigated. The sets of nonlinear couple partial differential equations involving the continuity, momentum, energy and mass balance equations have been reduced to two sets of nonlinear ordinary differential equations by using well know similarity technique. The transformed ordinary differential equations with associate boundary conditions are then solved numerically by using shooting technique with the help of ‘ODE45 MATLAB’ software. The numerical solution regarding the non-dimensional temperature and concentration variables against the non-dimensional coordinate variable have been carried out for different values of pertinent parameters and numbers like Prandlt number(𝑃௥), Darcy number (𝐷𝑎), Schmidt number (𝑆𝑐) and other driving parameters. The numerical results obtained of the skin friction coefficient, the local Nusselt number and the local Sherwood number have been presented graphically and also in tabular form. The result indicates that the velocity decrease with increasing values of Darcy number but opposite behavior for the temperature and the concentration. The heat transfer rate increases due to the increase in magnitude of Prandtl number so that the temperature reduces and the higher values of Schmidt number representing heavier species, increase of Schmidt number lower down the concentration level in the boundary layer.

Keywords

• heat and mass transfer
• moving sheet
• permeable surface
• thin liquid film