Abstract
The study sought to investigate the influence of a magnetic field on heat and mass transfer by mixed convection from vertical surfaces in the presence of Hall, radiation, Soret (thermal-diffusion), and Dufour (diffusion-thermo) effects. The similarity solutions were obtained using suitable transformations. The similarity ordinary differential equations were then solved by MATLAB routinebvp4c. The numerical results for some special cases were compared with the exact solution and those obtained by Elgazery (2009) and were found to be in good agreement. A parametric study illustrating the influence of the magnetic strength, Hall current, Dufour, and Soret, Eckert number, thermal radiation, and permeability parameter on the velocity, temperature, and concentration was investigated.
Highlights
The range of free convective flows that occur in nature and in engineering practice is very large and has been extensively considered by many researchers see, 1, 2, among others
This work investigated the effects of diffusion-thermo and thermal-diffusion on MHD natural convection heat and mass transfer over a permeable vertical plate in the presence of radiation and hall current
The governing equations are approximated to a system of nonlinear ordinary differential equations by using suitable similarity transformations
Summary
The range of free convective flows that occur in nature and in engineering practice is very large and has been extensively considered by many researchers see, 1, 2 , among others. When heat and mass transfer occur simultaneously between the fluxes, the driving potentials are of more intricate nature. An energy flux can be generated by temperature gradients but by composition gradients. The energy flux caused by a composition is called Dufour or diffusion-thermo effect. Temperature gradients can create mass fluxes, and this is the Soret or thermal-diffusion effect. The thermal-diffusion and the diffusionthermo effects are of smaller-order magnitude than the effects prescribed by Fourier’s or Mathematical Problems in Engineering
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