Abstract
This paper studied unsteady free convection flow between two parallel plates with mass diffusion. One of the plates is considered oscillating. Appropriate non-dimensional variables are used to reduce the dimensional governing equations along with imposed initial and boundary conditions. The exact solution to velocity, temperature and concentration profiles are obtained using the Laplace Transform technique. The graphical results of the solutions are presented to illustrate the behavior of the fluid flow with the influence of Schmidt number, Prandtl number, oscillating parameter, Grashof and mass Grashof number. The corresponding expressions for skin friction, Nusselt number and Sherwood number are also calculated. It is observed that increasing Prandtl and Schmidt numbers will increased the Nusselt number but decreased the skin friction.
Highlights
The fluid flows between parallel plates have received much attention due to the various applications involving heat transfer
The present analysis is to investigate oscillatory free convection flow between two parallel plates with mass diffusion
The governing equation was reduced by using non-dimensional equations and solutions to the problem were obtained by using Laplace transform technique
Summary
The fluid flows between parallel plates have received much attention due to the various applications involving heat transfer. It has various applications such as in petroleum industry, purification of crude oil, pumps accelerators and power generators [1]. Researchers have taken a great interest investigated problem regarding free convection flow between two parallel plates [2,3,4]. The present analysis is to investigate oscillatory free convection flow between two parallel plates with mass diffusion. This problem will be solved using Laplace Transform method to obtain exact solution
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