Upscaling multicomponent transport in porous media with a linear reversible heterogeneous reaction

Upscaling multicomponent transport in porous media with a linear reversible heterogeneous reaction
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通过线性可逆非均相反应升级多孔介质中的多组分传输

DOI:
10.1016/j.ces.2017.05.018
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发表时间:
2017-11
影响因子:
4.7
通讯作者:
Chen Yang
Chen Yang
中科院分区:
工程技术2区
文献类型:
--
作者:
Ting Qiu;Qinglian Wang;Chen Yang

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采用体积平均法对刚性均匀多孔介质中多组分传质和反应的放大过程进行了研究。本文考虑了发生在固液界面的一级可逆反应。从系统动力学出发,推导出了相应的宏观控制方程。有效系数是通过求解相应的闭包问题得到的。这项研究表明,如果微观尺度上的反向反应速率常数足够小,即k-→0,则得到的放大模型与文献中广泛研究的一级不可逆多相反应的宏观模型是一致的。考察了反应速率对宏观方程中有效参数的影响。结果表明,前向和后向反应速率对宏观方程中的有效扩散系数和有效反应速率都有显著影响。通过与直接数值计算的比较,验证了所建立的方程的正确性。
The upscaling process of multicomponent mass transfer and reaction in a rigid and homogeneous porous media was carried out using the method of volume averaging. The first-order reversible reaction which occurs at the solid-fluid interface was considered in this paper. The corresponding macroscopic governing equations were derived from the system dynamics at the pore scale. The effective coefficients were obtained by solving the associated closure problems. This study shows that if the backward reaction rate constant at the microscale is small enough, ie k-→ 0, the obtained upscaled model is in accordance with the macroscopic model derived from the first-order irreversible heterogeneous reaction case which was extensively investigated in the literature. The influence of reaction rates on the effective parameters in the macroscopic equations was also investigated. It has been found that both forward and backward reaction rates have significant influence on the effective diffusivities and effective reaction rates in the macroscopic equations. The established equations were successfully verified by the comparison of the direct numerical calculations.
DOI: 10.1007/978-94-009-3717-8_1
发表时间: 1987
影响因子: 2.7
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