Title | On thermodynamic interaction of a particle stratum with a parallel plane |
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Authors | A. O. Syromyasov^{1}, Y. P. Edeleva^{1}^{1}National Research Mordovia State University |

Annotation | The paper examines interaction of a plane with a slab of rarely placed identical spherical particles in presence of non-uniform temperature field. Special attention is paid to the case when undisturbed temperature gradien is constant and orthogonal to the plane and the plane itself has constant temperature. Approach to calculation of slab's effective thermal conductivity is discussed. Ways to refine initial problem statement are listed. |

Keywords | thermodynamic interaction, effective thermal conductivity, multipole expansion, fictitious particle |

Citation | Syromyasov A. O., Edeleva Y. P. ''On thermodynamic interaction of a particle stratum with a parallel plane'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 227-231. Available at: https://conf.svmo.ru/files/2023/papers/paper36.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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