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**Thermal diffusion and diffusion thermo effects on unsteady MHD fluid flow past a moving vertical plate embedded in porous medium in the presence of Hall current and rotating system.**
*(English)*
Zbl 1426.76679

Summary: In this research paper, numerical study of unsteady magnetohydrodynamic natural convective heat and mass transfer of a viscous, rotating fluid, electrically conducting and incompressible fluid flow past an impulsively moving vertical plate embedded in porous medium in the presence of ramped temperature, thermal radiation, hall current, thermal diffusion and diffusion thermo is investigated. The fundamental governing dimensionless coupled boundary layer partial differential equations are solved by an efficient Element Free Galerkin Method (EFGM). Computations were performed for a wide range of some important governing flow parameters viz., Hall current, rotation, thermal diffusion (Soret) and diffusion thermo (Dufour). The effects of these flow parameters on primary and secondary velocity, temperature and concentration fields for externally heating and cooling of the plate are shown graphically. Finally, the effects of these flow parameters on the rate of heat, mass transfer and shear stress coefficients at the wall are prepared through tabular forms for heating and cooling of the plate. Also, these are all discussed for ramped temperature and isothermal plates. We have shown that some results are in good agreement with earlier reported studies.

### MSC:

76R50 | Diffusion |

76W05 | Magnetohydrodynamics and electrohydrodynamics |

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

76U05 | General theory of rotating fluids |

80A20 | Heat and mass transfer, heat flow (MSC2010) |

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\textit{G. Jithender Reddy} et al., Trans. A. Razmadze Math. Inst. 170, No. 2, 243--265 (2016; Zbl 1426.76679)

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