Abstract
The behavior of perturbations of a steady cylindrical front of arbitrary amplitude is investigated numerically. A calculation algorithm is developed on the basis of the well-known boundary integral equation method [7]. The conclusion [5] concerning the stability of the front in the case of an internal supply of medium for perturbations of arbitrary amplitude is confirmed. In the case of an external supply of medium (in the direction of decreasing radial coordinate) the instability of the front and the formation of radial low-viscosity “fingers” is demonstrated. The method proposed can easily be modified to permit the calculation of the motion of free surfaces and interfaces in chemically inert high-viscosity media. In this connection, it can be used for numerically modeling the flow of plastic and glass melts.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 3–10, September–October, 1991.
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Segal', A.S. Closed polymerization front dynamics in a plane radial flow. Fluid Dyn 26, 639–645 (1991). https://doi.org/10.1007/BF01050981
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DOI: https://doi.org/10.1007/BF01050981