On thermodynamic interaction of a particle stratum with a parallel plane

Title	On thermodynamic interaction of a particle stratum with a parallel plane
Authors	A. O. Syromyasov¹, Y. P. Edeleva¹ ¹National 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: 19.05.2024.