Unsteady free convection flow between two vertical plates with variable temperature and mass diffusion

Abstract

<span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">The unsteady free convection flow between two long vertical parallel plates with<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">variable temperature and mass diffusion in the presence of the thermal radiation has<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">been presented. The governing dimensionless coupled linear partial differential<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">equations on the flow are solved by using the Laplace transform technique. The<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">Exact solutions have been obtained for the fluid velocity, temperature and the mass<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">concentration. The Representative numerical results for the fluid velocity,<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">temperature, mass concentration and the shear stresses at the plate are presented<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">graphically for the various pertinent flow parameters such as the radiation<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">parameter, buoyancy forces, Schmidt number and time and studied in detail. The<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">study shows that these parameters have significant impact on the velocity,<br /><span style="font-size: 10pt; color: #000000; font-style: normal; font-variant: normal;">temperature, mass concentration and the shear stresses at the plates.</span></span></span></span></span></span></span></span></span></span><br style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px;" /></span>