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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024 Number 92, Pages 144–158 (Mi vtgu1129)

MECHANICS

Merging of liquid droplets during agglomeration on a combustion surface

S. A. Rashkovskiyab, K. V. Kostushina, K. N. Zhil'tsova, I. V. Eremina

a Tomsk State University, Tomsk, Russian Federation
b Ishlinsky Institute for Problems in Mechanics RAS, Moscow, Russian Federation

Abstract: When burning high-energy mixed compositions, conditions may arise under which the particles included in the conglomerate melt. In this case, the contacting molten particles merge under the action of surface tension forces and form an agglomerate. The paper proposes a technique for modeling the merging of liquid droplets during the process of agglomeration on the combustion surface. The technique is based on the use of the smoothed particle method (SPH). Problem similarity criteria are presented. Numerical modeling of the processes of merging 2, 3, and 2000 spherical drops was carried out. Mass distribution functions have been obtained. It is shown that the process of agglomeration of large structures consists of two stages. At the first stage, the merging of liquid drops occurs, which at the initial moment of time have points of contact with other drops. At the second stage, an important role is played by nonstationary processes that describe the dynamics of changes in the free surface, which in the general case depend on surface tension, viscosity, and density of the liquid.

Keywords: mathematical modeling, combustion products, boron particles, conglomerates, agglomeration.

UDC: 533.6.011.5

Received: 07.12.2023

DOI: 10.17223/19988621/92/12



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