2-D unsteady free convective heat and mass transfer Newtonian Hartmann flow with thermal diffusion and Soret effects: Network model and finite differences

  1. Zueco, J. 2
  2. Ahmed, S. 3
  3. López-González, L.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad Politécnica de Cartagena
    info

    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

  3. 3 Fluid Dynamics Research, Department of Mathematics, Goalpara College, Goalpara, Assam, India
Journal:
International Journal of Heat and Mass Transfer

ISSN: 0017-9310

Year of publication: 2017

Volume: 110

Pages: 467-475

Type: Article

DOI: 10.1016/J.IJHEATMASSTRANSFER.2017.03.046 SCOPUS: 2-s2.0-85016026428 WoS: WOS:000401399000041 GOOGLE SCHOLAR

More publications in: International Journal of Heat and Mass Transfer

Abstract

In this paper we present the numerical solution of the problem 2-D unsteady free convective heat and mass transfer flow over a moving semi-infinite vertical porous plate with thermal diffusion in presence of magnetic field, dissipative heat and Soret effects taking into account the induced magnetic field. The steady-state numerical solutions for the velocity field, induced magnetic field, temperature distribution and concentration distribution are obtained by the explicit finite difference method and the network simulation method. The obtained results have been shown graphically. The obtained numerical results were compared with other author data to demonstrate the efficiency of the method used, moreover all the cases the convergence is always quickly reached. An increase in Soret or Eckert number is found to strongly enhance the fluid velocity and temperature values, and this effect is reversed for the induced magnetic field. It is found that the flow velocity decreases with the increase in Hartmann and magnetic Prandtl number, and an opposite behaviour is observed for the fluid temperature. Applications of the study arise in the thermal plasma reactor modelling, the electromagnetic induction, MHD transport phenomena in chromatographic systems, and the magnetic field control of materials processing. The results show that both methods provide excellent approximations to the solution of this nonlinear system with high accuracy. © 2017 Elsevier Ltd