ABSTRACT A two‐dimensional nonisothermal general rate model (2D‐GRM) was developed to investigate coupled mass and heat transport in chromatographic columns packed with core‐shell particles. The formulation explicitly incorporates slow adsorption–desorption kinetics and radial thermal effects. The resulting system of nonlinear partial differential equations was solved using a second‐order finite volume scheme with total variation diminishing (TVD) Runge–Kutta integration. Numerical simulations revealed that increasing core radius fraction enhances column efficiency by shortening diffusion paths, while exothermic adsorption causes modest temperature rises ( K). Lower radial Peclet numbers lead to broader elution bands due to diffusive mixing, whereas higher values approach convective‐dominated transport typical of larger column diameters. Slow kinetic regimes produced peak tailing and delayed solute breakthrough, emphasizing the importance of finite‐rate adsorption in practical separations. The framework developed also expands upon classical GRM formulation by incorporating physically reasonable morphology and nonisothermal coupling to provide predictions of chromatographic performance under time‐varying temperature.
Uche et al. (2026) studied this question.