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首页> 外文期刊>International Journal of Heat and Mass Transfer >Thermally induced diffusion of chemicals under steady-state heat transfer in saturated porous media
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Thermally induced diffusion of chemicals under steady-state heat transfer in saturated porous media

机译：饱和多孔介质中稳态传热下化学品的热诱导扩散

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摘要

Thermally induced diffusion of chemicals is observed in many natural phenomena and engineering processes. We present analytical solutions to the non-isothermal diffusion of chemicals under combined effects of molecular and thermal diffusion processes and under variable diffusion coefficient with temperature. The generalized integral transform technique (GITT) is adopted to successfully derive the analytical solutions to the one-dimensional boundary problem under Neumann and Dirichlet outflow conditions. The accuracy of the analytical model developed is examined against three benchmarks including two experimental datasets. The analytical models are applied to develop an understanding of how the chemical transfer under non-isothermal conditions is governed by a combination of the Soret effect and temperature dependency of diffusion coefficient. We demonstrate that the mass transfer components due to thermal diffusion (or Soret effect) and the temperature dependency of diffusion coefficients are equally important to develop an accurate assessment of non-isothermal diffusion problem. Under the conditions of the case study considered, we show that a threshold for the Soret coefficient exists at which the temperature dependency of chemical diffusion coefficient can induce equally or larger influences on the chemical compared to the influence of thermal diffusion. The analytical solutions proposed also provide modelling benchmarks to examine the accuracy of alternative multiphysics numerical models for studying the non-isothermal diffusion problems in porous media.
机译：在许多自然现象和工程过程中观察到化学品的热诱导扩散。我们在分子和热扩散工艺的组合效应和温度下的可变扩散系数下对化学品的非等温扩散的分析解。采用广义整体变换技术（GITT）成功推导了Neumann和Dirichlet流出条件下的一维边界问题的分析解。针对包括两个实验数据集的三个基准检查的分析模型的准确性。应用分析模型来制定理解非等温条件下的化学转移如何通过Soret效应和扩散系数的温度依赖性的组合来控制。我们证明了由于热扩散（或SORET效应）引起的传质组分和扩散系数的温度依赖性同样重要的是，为产生非等温扩散问题的准确评估。在考虑案例研究的条件下，我们表明，与热扩散的影响相比，存在化学扩散系数的温度依赖性的曲瓣系数的阈值，其在其上诱导或更大的对化学物质的影响。建议的分析解决方案还提供了建模基准，以研究用于研究多孔介质中的非等温扩散问题的替代多体仪器数值模型的准确性。

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