Group analysis of variable coefficients heat and mass transfer equations with power nonlinearity of thermal diffusivity
作者：
Highlights：
• Group classification for variable coefficients in three-dimensional nonlinear heat and mass transfer equations is performed.
• The Lie symmetries for every form of arbitrary functions are found.
• Some reductions of the governing equations are constructed and integrated exactly.
• The results are useful for modeling of heat and mass transfer in binary liquids.
摘要
•Group classification for variable coefficients in three-dimensional nonlinear heat and mass transfer equations is performed.•The Lie symmetries for every form of arbitrary functions are found.•Some reductions of the governing equations are constructed and integrated exactly.•The results are useful for modeling of heat and mass transfer in binary liquids.
论文关键词：Lie symmetry analysis,Group classification problem,Thermodiffusion equations,Transport coefficients,exact solutions
论文评审过程：Received 20 June 2018, Accepted 17 September 2018, Available online 11 October 2018, Version of Record 11 October 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.09.036
