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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2012, Volume 14, Number 2, Pages 128–136 (Mi svmo324)

In Middle Volga Mathematical Society

Three-particle thermodynamic interactions

A. O. Syromyasov

Mordovian State University, Saransk

Abstract: We consider three spherical particles with arbitrary radii and heat conductivities immersed in an infinite medium. The temperature gradient far from spheres is supposed to be constant. Temperature field inside and outside the particles is explored, and its general properties are listed. Passages to the limit of two-particle problem and some particular cases are considered, too.

Keywords: heat conduction equation, spherical particle, interparticle interaction, symmetry of solution.

UDC: 517.958:536.242

Received: 23.07.2012



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