Abstract In this work, a two-dimensional general rate model for nonisothermal liquid chromatography is formulated considering adsorption saturation capacity, enthalpy of adsorption, mass and energy dispersion coefficients, conductivity and diffusivity of heat, heat transfer between the stationary and mobile phases of the column and finite rates of adsorption–desorption kinetics. Semi-analytical solutions of the model are derived by linearizing the adsorption and desorption rates and considering the Danckwerts boundary conditions with inner and outer annular regions of sample injection. These two injection regions are helpful to trigger temperature and concentration gradients along the cylindrical coordinate of the column. In deriving the semi-analytical solutions, we have successively applied the Hankel and Laplace transforms one after the other together with the Eigen-decomposition technique. The validity of the semi-analytical solutions is checked by comparing with the numerical solutions obtained by applying a flux limiting high resolution finite volume scheme of Koren. Several numerical test problems are carried out to inspect the key parameters that influence the chromatographic process performance. The numerical values of parameters obtained in this work will play an important role in the future theoretical developments of column liquid chromatography. GRAPHICAL ABSTRACT

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考虑有限吸附-解吸动力学速率的非等温液相色谱二维通用速率模型

摘要 本文考虑吸附饱和容量、吸附焓、质量和能量分散系数、热导率和扩散率、色谱柱固定相和流动相之间的传热，建立了非等温液相色谱的二维通用速率模型。和有限的吸附-解吸动力学速率。该模型的半解析解是通过线性化吸附和解吸速率并考虑具有样品注入的内外环形区域的 Danckwerts 边界条件而推导出来的。这两个进样区域有助于触发沿色谱柱圆柱坐标的温度和浓度梯度。在推导半解析解时，我们先后应用了汉克尔和拉普拉斯变换以及特征分解技术。通过与应用 Koren 的通量限制高分辨率有限体积方案获得的数值解进行比较，来检查半解析解的有效性。进行了几个数值测试问题，以检查影响色谱过程性能的关键参数。在这项工作中获得的参数数值将对柱液相色谱未来的理论发展起到重要作用。图形概要 进行了几个数值测试问题，以检查影响色谱过程性能的关键参数。在这项工作中获得的参数数值将对柱液相色谱的未来理论发展起到重要作用。图形概要 进行了几个数值测试问题，以检查影响色谱过程性能的关键参数。在这项工作中获得的参数数值将对柱液相色谱的未来理论发展起到重要作用。图形概要