UNSTEADY FREE-CONVECTION IN BINARY MIXTURE OF A BOUNDARY LAYER FLOW PAST A VERTICAL POROUS PLATE WITH RADIATIVE HEAT TRANSFER

Rabindra Nath  Mondal; Parimal Chandra  Das; Md. Abdus  Sattar

doi:10.53808/KUS.2001.3.1.0103-se

Authors

Rabindra Nath Mondal Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
Parimal Chandra Das Department of Mathematics, Dhaka University, Dhaka 1000, Bangladesh
Md. Abdus Sattar Department of Mathematics, Dhaka University, Dhaka 1000, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2001.3.1.0103-se

Keywords:

Boundary layer; Heat transfer; Chemical reaction; Binary mixture; Arrhenius activation energy

Abstract

The combined free convection dynamic boundary layer and thermal radiation boundary layer along a semi-infinite vertical porous plate with mass transfer has been analyzed. The chemical reaction for a very simple model of a binary reaction with Arrhenius activation energy is incorporated into the analysis. The fluid is considered to be gray, absorbing-emitting. Under such conditions, the coupled and unsteady non-linear momentum, energy and concentration equations of the combined layers are then made similar by introducing a time dependent length scale and by the usual method of similarity transformation. The similarity equations are then solved numerically by the method of superposition. The resulting velocity and t emperature distributions are shown graphically for different values of the parameters entering into the problem. The numerical values of the skin friction coefficient ( w ) and the Nusselt number (Nu ) are calculated and presented in a tabular form.

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