BLOCK BACKWARD DIFFERENTIATION FORMULA FOR CONVECTIVE BOUNDARY CONDITION IN HYDROMAGNETIC HEAT AND MASS TRANSPORT OVER A VERTICAL PLATE

ODUNAYO M.  ADEKOYA; AKINSHEYE O.  AKINFENWA; OLUGBENGA J.  FENUGA

ODUNAYO M. ADEKOYA DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA.
AKINSHEYE O. AKINFENWA DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA.
OLUGBENGA J. FENUGA DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LAGOS, AKOKA, LAGOS STATE, NIGERIA.

Keywords: heat and mass transfer, hydromagnetic, block method, boundary layer, backward differentiation formula

Abstract

This paper examines the solution of boundary condition for the convective surface for a hydromagnetic heat and mass transport over a vertical plate with the use of block method. Similarity solutions were used in converting the partial differential equations regulating the boundary layer into ordinary differential equations. The resultant coupled nonlinear system of ODE was then transformed into a set of equations of the first-order, which was subsequently solved numerically using block backward differentiation formula. The effects of key parameters including magnetic field (Ha), Biot number (Bi), Grashof number (Gr,Gc), and Schmidt number (Sc) on velocity, temperature and concentration profiles were examined. The results show that velocity decreases with higher magnetic field but thermal and solutal buoyancy forces; temperature rises with Biot number while Schmidt number reduces concentration boundary thickness. Numerical results demonstrate excellent agreement with existing results, confirming the accuracy of the method. Graphically, the influence of different fluid flow velocity characteristic were highlighted and other physical quantities presented.

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