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<p>We study the symmetry properties of heat and mass transfer equations.The group classification problem is solved with respect to two transportcoefficients (diffusion and heat diffusivity) and two coefficients correspondingto the effects of thermal diffusion (Soret effect) and diffusion thermalconductivity (Dufour effect). These four parameters depend on temperatureand concentration.In&#xa0;some cases, we determine all admissible forms of the classifiedfunctions.In the most complicated cases, we&#xa0;obtain relationshipsbetween the classified parameters and the corresponding admitted generators.</p>

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Lie Symmetry Analysis of Heat and Mass Transfer Equations with Cross-Diffusion Effects

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • I. V. Stepanova,
  • S. V. Meleshko

摘要

We study the symmetry properties of heat and mass transfer equations.The group classification problem is solved with respect to two transportcoefficients (diffusion and heat diffusivity) and two coefficients correspondingto the effects of thermal diffusion (Soret effect) and diffusion thermalconductivity (Dufour effect). These four parameters depend on temperatureand concentration.In some cases, we determine all admissible forms of the classifiedfunctions.In the most complicated cases, we obtain relationshipsbetween the classified parameters and the corresponding admitted generators.