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**Investigation of combined heat and mass transfer by Lie group analysis with variable diffusivity taking into account hydrodynamic slip and thermal convective boundary conditions.**
*(English)*
Zbl 1262.80019

Summary: The present paper investigates heat and mass transfer over a moving porous plate with hydrodynamic slip and thermal convective boundary conditions and concentration dependent diffusivity. The similarity representation of the system of partial differential equations of the problem is obtained through Lie group analysis. The resulting equations are solved numerically by Maple with Runge-Kutta-Fehlberg fourth-fifth order method. A representative set of results for the physical problem is displayed to illustrate the influence of parameters (velocity slip parameter, convective heat transfer parameter, concentration diffusivity parameter, Prandtl number and Schmidt number) on the dimensionless axial velocity, temperature and concentration field as well as the wall shear stress, the rate of heat transfer and the rate of mass transfer. The analytical solutions for velocity and temperature are obtained. Very good agreements are found between the analytical and numerical results of the present paper with published results.

### MSC:

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

76R50 | Diffusion |

76D08 | Lubrication theory |

80M25 | Other numerical methods (thermodynamics) (MSC2010) |

76M25 | Other numerical methods (fluid mechanics) (MSC2010) |

65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |