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**Combined effects of Soret-Dufour, radiation and chemical reaction on unsteady MHD flow of dusty fluid over inclined porous plate embedded in porous medium.**
*(English)*
Zbl 1444.76135

Summary: The objective of this paper is to investigate effects of Soret-Dufour, radiation and chemical reaction on an unsteady MHD (Magnetohydro Dynamics) flow of an incompressible viscous and electrically conducting dusty fluid past a continuously moving inclined plate. Partial differential equations of non-dimensional form of governing equations of flow have been solved numerically using Crank-Nicolson implicit finite difference method. The effects of different physical parameters on velocity, temperature and concentration profiles are discussed with graphs and numerical values of skin friction coefficients, Nusselt number and Sherwood number are discussed with tables.

### MSC:

76W05 | Magnetohydrodynamics and electrohydrodynamics |

76V05 | Reaction effects in flows |

80A21 | Radiative heat transfer |

76S05 | Flows in porous media; filtration; seepage |

76T15 | Dusty-gas two-phase flows |

80A19 | Diffusive and convective heat and mass transfer, heat flow |

76M20 | Finite difference methods applied to problems in fluid mechanics |

### Keywords:

MHD; chemical reaction; thermal radiation; porous medium; heat and mass transfer; Crank-Nicolson method
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\textit{N. Pandya} et al., Int. J. Adv. Appl. Math. Mech. 5, No. 1, 49--58 (2017; Zbl 1444.76135)

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### References:

[1] | B. Gebhart, Transient natural convection from vertical elements. Journal of Heat Transfer. 83(C) (1961), 61-70. |

[2] | E. M. Sparrow and R. D. Cess, Effect of magnetic field on free convection heat transfer. Int. J. Heat and Mass Transfer. 3 (1961), 267-270. |

[3] | M. A. Hossain and H. S. Takhar, Radiation effect on mixed convection along a vertical plate with uniform surface temperature. Heat and Mass Transfer. 31 (1996) 243-248. |

[4] | Rajesh and Vijay Kumar Verma, Radiation and mass transfer effects on MHD free convection flow past an exponentially accelerated vertical plate with variable temperature. ARPN J. of Eng. and Appl. Sci. 4(6) (2009), 20-26. |

[5] | A. R. Bestman, M. .A. Alabraba and A. ogulu, Laminar convection in binary mixed of hydro magnetic flow with radiative heat transfer. Astrophysics and Space Science. 195(2) (1992), 431-439. · Zbl 0758.76074 |

[6] | N. Pandya and A. K. Shukla, Soret-Dufour and Radiation Effects on Unsteady MHD Flow past an Impulsively Started Inclined Porous Plate with Variable Temperature and Mass Diffusion. International Journal of Mathematics and Scientific Computing. 3(2) (2013), 41 - 48. |

[7] | N. Pandya and A. K. Shukla, Soret-Dufour and Radiation Effects on Unsteady MHD Flow past an Impulsively Started Inclined Porous Plate with Variable Temperature and Mass Diffusion. International Journal of Advances in Applied Mathematics and Mechanics. 2(1) (2014), 107 - 119. · Zbl 1359.76341 |

[8] | N. Pandya and Ravi Kant Yadav, Soret-Dufour Effects on Unsteady MHD flow of Dusty Fluid over Inclined Porous Plate Embedded in Porous Medium. International Journal of Innovative Science, Engineering and Technology. 2(1) (2015), 107 - 119. · Zbl 1444.76135 |

[9] | G. K. Dubey, S. S. Sexena and N. K. Varshney, Effect of the dusty viscous fluid on unsteady free convective flow along a moving a porous hot vertical plate with thermal diffusion and mass transfer. Purvanchal Academy of Sciences. 15 (2009), 1-12. |

[10] | Anurag Dubey, U. R. Singh and Rajeev Jha, Effect of Dusty Viscous Fluid on Unsteady Laminar Free Convective Flow through Porous Medium along a Moving Porous Hot Vertical Plate with Thermal Diffusion. Applied Mathematical Sciences. 6(123) (2012), 6109 - 6124. · Zbl 1262.76111 |

[11] | T. G. Cowling, Magnetohydrodynamics, Inter Science Publishers. New York, 1957. |

[12] | Brice Carnahan, H. A. Luthor and J. O. Wilkes, Applied Numerical Methods, John Wiley & Sons, New York, 1969. · Zbl 0195.44701 |

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