快速瞬态热传导与质扩散的类比关系

Analysis of the Analogous Relation of Fast Transient Heat Conduction and Mass Diffusion

从物理机制与数学描述等方面分析了快速瞬态热传导与质扩散所存在的类似性，理论分析与实验结果均表明：快速瞬态热传导与质扩散具有类似的物理行为与相同形式的数学描述．通过理论分析给出了量纲为一数Ｈｈ，Ｈｍ及Ｈ１（Ｈ１＝Ｈｂ／Ｈｍ），数值模拟了它们对温度分布与浓度分布的影响及温度分布与浓度分布的一致程度．

The a analogitiy of fast transient heat conduction and mass diffusion is analyzed in physical mechanisms and mathematical formulations etc. Theoretical and experimental results both indicate the fast transient heat conduction and mass diffusion have analogous physical behavior-fluctuation mechanism and same mathematical formulations. The dimensionless numberand Hh and Hm, as well as their effects on the dis- tributions of temperature and concentration are given out by theoretical analysis and nuxnerical simulation. Meanwhile, the dimensionless number H1 (H1 =Hh/Hm) is also defined, which reflects the identical extent of tem- perature and concentration distributions.