Effect of Radiation on Unsteady MHD Free Convective Flow past an Exponentially Accelerated Inclined Plate
B. M. Jewel Rana *
Mathematics Discipline, Khulna University, Khulna, Bangladesh.
R. Ahmed
Mathematics Discipline, Khulna University, Khulna, Bangladesh.
R. Uddin
Mathematics Discipline, Khulna University, Khulna, Bangladesh.
S. F. Ahmmed *
Mathematics Discipline, Khulna University, Khulna, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
Unsteady MHD free convective flow past an exponentially accelerated inclined plate has been investigated in the presence of radiation, Dufour and Soret effect. The usual transformations have used to get governing equations in dimensionless form. Then the obtained dimensionless equations are solved numerically employing conditionally stable explicit finite difference scheme. The stability and convergence test have been delimitated to find out the restriction of parametric values. To obtain the numerical results, the Computer programming language Fortran 6.6a has been used. The effects of flow parameters involved in the solution on velocity, temperature, concentration, streamlines and isotherms have been explicated graphically and discussed qualitatively. Also, the parameters of technical interest have been presented graphically. From the present analysis it is concluded that the presence of radiation increases the velocity and temperature profiles but decreases the concentration profiles. It is also noted that the increase in angle of inclination and chemical reaction lead to decrease in velocity profiles. The results of velocity, temperature and concentration are compared with available result in literature and are found to be in excellent agreement.
Keywords: Porous medium, radiation, Dufour number, Soret number, chemical reaction.