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

Document Type : Full Length Research Article

Authors

1 Department of Mathematics, University of Gour Banga, Malda 732 103, India

2 Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, India

3 Manufacturing Engineering Department, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al-Khobar 31952, Saudi Arabia

Abstract

The unsteady free convection flow between two long vertical parallel plates with
variable temperature and mass diffusion in the presence of the thermal radiation has
been presented. The governing dimensionless coupled linear partial differential
equations on the flow are solved by using the Laplace transform technique. The
Exact solutions have been obtained for the fluid velocity, temperature and the mass
concentration. The Representative numerical results for the fluid velocity,
temperature, mass concentration and the shear stresses at the plate are presented
graphically for the various pertinent flow parameters such as the radiation
parameter, buoyancy forces, Schmidt number and time and studied in detail. The
study shows that these parameters have significant impact on the velocity,
temperature, mass concentration and the shear stresses at the plates.

Keywords

References

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History

  • Receive Date: 31 May 2014
  • Revise Date: 27 July 2014
  • Accept Date: 25 July 2015

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