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Discrete model for the swelling of a sealed capillary in a high-temperature furnace with a nonuniform axial temperature profile

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Abstract

A discrete model for the swelling of a sealed glass capillary in a high-temperature furnace with an arbitrary axial temperature profile is proposed. A system of ordinary differential equations describing the swelling kinetics of the capillary is obtained, as well as a system of algebraic equations for finding the axial profile of the maximally swollen capillary. Two swelling modes are analyzed: the swelling mode of a stationary fixed capillary and the swelling mode of a capillary moved into a high-temperature furnace with a constant or variable rate. The results of the numerical calculations were verified experimentally for the case of sintering of capillary assemblies used as preforms for microstructured optical fiber.

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Correspondence to A. A. Makovetskii.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 52, No. 6, pp. 140–151, November–December, 2011.

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Makovetskii, A.A. Discrete model for the swelling of a sealed capillary in a high-temperature furnace with a nonuniform axial temperature profile. J Appl Mech Tech Phy 52, 965–974 (2011). https://doi.org/10.1134/S0021894411060150

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  • DOI: https://doi.org/10.1134/S0021894411060150

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