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<p>We study the processes of convective diffusion of impurities and their sorption by the skeleton in a two-layer porous body under the conditions of imperfect contact with respect to the concentration function of impurity particles. Statements of contact initial-boundary-value problems of diffusion are formulated under the conditions of nonlinear sorption and in the linearized version. The nonlinear problem is reduced to two coupled systems of integral equations solved by the method of simple iterations in the form of Neumann integral series. The absolute and uniform convergence of the integral series constructed in the vicinity of solutions of the linearized mathematical model is demonstrated.</p>

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Mathematical Modeling of Convective Diffusion Under the Conditions of Nonlinear Sorption in a Two-Layered Porous Body

  • 期刊论文

  • 发表日期：

    2026年5月26日

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  • Ye. Ya. Chaplya,
  • O. Yu. Chernukha,
  • Yu. I. Bilushchak

摘要

We study the processes of convective diffusion of impurities and their sorption by the skeleton in a two-layer porous body under the conditions of imperfect contact with respect to the concentration function of impurity particles. Statements of contact initial-boundary-value problems of diffusion are formulated under the conditions of nonlinear sorption and in the linearized version. The nonlinear problem is reduced to two coupled systems of integral equations solved by the method of simple iterations in the form of Neumann integral series. The absolute and uniform convergence of the integral series constructed in the vicinity of solutions of the linearized mathematical model is demonstrated.