Simple numerical scheme for solving the impregnation equations in a porous pellet
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866929693107683328 |
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| author | Peskov, N. V. Lysak, T. M. |
| author_facet | Peskov, N. V. Lysak, T. M. |
| contents | This paper proposes a numerical scheme for solving a system of convection-reaction-diffusion equations describing the process of preparing a catalyst on a porous support by the impregnation method. In the case of a considered porous spherical pellet, the equations are defined on an interval, one end of which, associated with the front of the impregnating liquid, moves according to a given law. The law of front motion is used to create a consistent space-time grid for discretizing the system. Examples of numerical solutions of the impregnation problem are given, demonstrating the effectiveness of the proposed scheme. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_18939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simple numerical scheme for solving the impregnation equations in a porous pellet Peskov, N. V. Lysak, T. M. Numerical Analysis Chemical Physics This paper proposes a numerical scheme for solving a system of convection-reaction-diffusion equations describing the process of preparing a catalyst on a porous support by the impregnation method. In the case of a considered porous spherical pellet, the equations are defined on an interval, one end of which, associated with the front of the impregnating liquid, moves according to a given law. The law of front motion is used to create a consistent space-time grid for discretizing the system. Examples of numerical solutions of the impregnation problem are given, demonstrating the effectiveness of the proposed scheme. |
| title | Simple numerical scheme for solving the impregnation equations in a porous pellet |
| topic | Numerical Analysis Chemical Physics |
| url | https://arxiv.org/abs/2501.18939 |