Abstract

In this paper, the effects of Dufour and thermal diffusion and on unsteady MHD (magnetohydrodynamic) free convection and mass transfer flow through an infinite vertical permeable sheet have been investigated numerically. The non-dimensional governing equations are solved numerically by using the superposition method with the help of “Tec plot” software. The numerical solution regarding the non-dimensional velocity, temperature, and concentration variables against the non-dimensional coordinate variable has been carried out for various values of pertinent numbers and parameters like the suction parameter left( {v_{0} } right), Prandtl number left( {P_{r} } right), magnetic parameter left( M right), Dufour number left( {D_{f} } right), Soret number left( {S_{0} } right), Schmidt number left( {S_{c} } right), and for constant values of modified local Grashof number left( {G_{{text{m}}} } right) and local Grashof number left( {G_{r} } right).The velocity field decreases for increasing the suction parameter which is focusing on the common fact that the usual suction parameter stabilizing the effect on the boundary layer growth. The thermal boundary layer thickness becomes thinner for rising values of the Dufour and Soret numbers. The skin friction enhances for uplifting values of Soret number and Dufour number but reduces for moving suction parameter, Magnetic force number, Prandtl number, and Schmidt number. The heat transfer rate increases for increasing the suction parameter, Dufour number, Prandtl number, and Soret number. The mass transfer rate increases for enhancing the values of suction parameter, Magnetic force number, Soret number, and Prandtl number but decreases for Dufour number and Schmidt number.

Highlights

  • Magnetohydrodynamic (MHD) fluid flow through a porous medium has many significant roles in pure science, engineering, technological, and biomedical fields such as MHD power generators, MHD accelerators, blood flow measurements, electrolytes, ionized gases, traveling waves tubes, metal-working processes, propulsion units, and control fusion research

  • An investigation for unsteady MHD free convection and mass transfer flow through an infinite vertical permeable sheet has been investigated to analyze the effect of Dufour and thermal diffusion

  • S0, the Prandtl number Pr and the Schmidt number Sc .It can be concluded from Fig. 2a that the velocity profiles decrease monotonically with the increase in the suction parameter v0 indicating the usual fact that suction stabilizes the boundary layer growth

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Summary

Introduction

Magnetohydrodynamic (MHD) fluid flow through a porous medium has many significant roles in pure science, engineering, technological, and biomedical fields such as MHD power generators, MHD accelerators, blood flow measurements, electrolytes, ionized gases, traveling waves tubes, metal-working processes, propulsion units, and control fusion research. Bhaskar and Sharma [13, 14] have investigated the effect of radiation and chemical reaction on the electrically conducting laminar flow incompressible mixed convective couple stress fluid, saturated past an upstanding passage in a permeable medium with Hall current, Joule heating, Dufour, and Soret effects. The effect of magnetic field and chemical reaction on unsteady free convection fluid flow through an infinite vertical permeable plate with thermal diffusion and diffusion-thermo effects have been studied by Srinivasa Raju [16]. The double-diffusion effects on free convective flow over a vertical stretching surface embedded in a permeable medium with radiation, Dufour and Soret effects, and a homogeneous first-order chemical reaction was explained by Abdelraheem et al [23]. In addition to the skin friction coefficient, heat and mass transfer properties have been discussed with the tabular representations

Governing equations
Numerical solution
Results and discussions
Velocity variation
Temperature variation
Concentration variation
Conclusions

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