Abstract The longitudinal dispersion and cross-sectional concentration distribution of chemical species through an annular tube have been studied for oscillatory flows in the presence of heterogeneous reactions between the species and tube wall along with homogeneous reaction in the bulk flow. The species is supposed to undergo kinetic reversible phase exchange and irreversible absorptive reactions at the outer wall material whereas in the bulk of the flow, the species participates in a first-order reaction with the solvent. The velocity distribution has a complex interaction with the reaction parameters and in order to track that, three different kinds of oscillatory flows are considered. For the purpose of estimation of dispersion coefficient, the method of moments Aris (1956)[3] is employed. The unsteady convective-diffusion equation gives rise to integral moment equations and are solved numerically by FDM. The cross-sectional concentration distribution is determined from the relationship between central moments and Hermite polynomials for the unsteady components of the flows. The study reveals the coupled effects of reversible phase exchange, irreversible absorption and bulk flow reaction on the transport of species in a variety of flow situations.

中文翻译：

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受均相和非均相反应影响的振荡 Couette-Poiseuille 流中反应性物质的传输

摘要 已经研究了在物质与管壁之间存在非均相反应以及整体流中的均相反应的振荡流中化学物质通过环形管的纵向分散和横截面浓度分布。物质应该在外壁材料处经历动力学可逆相交换和不可逆吸收反应，而在大部分流动中，物质参与与溶剂的一级反应。速度分布与反应参数有复杂的相互作用，为了跟踪它，考虑了三种不同类型的振荡流。为了估计色散系数，采用了矩量法 Aris (1956)[3]。非定常对流扩散方程产生积分矩方程，并通过 FDM 进行数值求解。横截面浓度分布由中心矩和非稳态流动分量的 Hermite 多项式之间的关系确定。该研究揭示了可逆相交换、不可逆吸收和本体流动反应在各种流动情况下对物质传输的耦合影响。