Background/motivation <p>MHD flows with heat and mass transfer occur together in industrial processes like chemical processing, metallurgy and thermal management. Nonetheless, the synergetic influence of the Dufour diffusion, Activation energy, Magnetic fields and viscous dissipation in porous stretching surfaces together with the velocity slip have not been considered to a significant extent.</p> Novelty <p>This analysis indirectly presents a new mathematical model that combines the Dufour effect, slip effect, Activation energy and interaction of this field with a stretched permeable wall with suction/injection at the same time, which has not received due attention in the literature under study.</p> Methodology <p>Similarity transformations solve the governing coupled nonlinear PDEs in terms of ODEs. The solutions are acquired as numerical in MATLAB with the help of the bvp4c solver; then, highly coupled boundary conditions can be treated with highest precision. This method is efficient and reliable in solving nonlinear, coupled BVPs that occur when one encounters complex flows in the boundary layer models which have complex physical boundary conditions.</p> Implications <p>The findings are characterized by the factor that Dufour effect, diffusion increases thermal gradients whereas magnetic field inhibits the flow velocity. Such findings can be applied to the optimization of the MHD-based heat and mass transfer systems, which are useful in engineering practice. Nusselt number is raised by the increment of <i>Bi</i>, <i>Ec</i> and decreases by the increment of <i>β</i>, <i>R</i>. Sherwood number increases with the increment of Du and conversely decreases as the value of <i>M</i>, <i>λ</i> increases.</p>

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Transportation of MHD Casson fluid with dissipation, radiation impact under Dufour effect over an exponentially stretching surface with activation energy: a numerical study

  • B. Saidi Reddy,
  • B Shankar Goud

摘要

Background/motivation

MHD flows with heat and mass transfer occur together in industrial processes like chemical processing, metallurgy and thermal management. Nonetheless, the synergetic influence of the Dufour diffusion, Activation energy, Magnetic fields and viscous dissipation in porous stretching surfaces together with the velocity slip have not been considered to a significant extent.

Novelty

This analysis indirectly presents a new mathematical model that combines the Dufour effect, slip effect, Activation energy and interaction of this field with a stretched permeable wall with suction/injection at the same time, which has not received due attention in the literature under study.

Methodology

Similarity transformations solve the governing coupled nonlinear PDEs in terms of ODEs. The solutions are acquired as numerical in MATLAB with the help of the bvp4c solver; then, highly coupled boundary conditions can be treated with highest precision. This method is efficient and reliable in solving nonlinear, coupled BVPs that occur when one encounters complex flows in the boundary layer models which have complex physical boundary conditions.

Implications

The findings are characterized by the factor that Dufour effect, diffusion increases thermal gradients whereas magnetic field inhibits the flow velocity. Such findings can be applied to the optimization of the MHD-based heat and mass transfer systems, which are useful in engineering practice. Nusselt number is raised by the increment of Bi, Ec and decreases by the increment of β, R. Sherwood number increases with the increment of Du and conversely decreases as the value of M, λ increases.