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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 10, Pages 86–90
DOI: https://doi.org/10.26907/0021-3446-2020-10-86-90 (Mi ivm9621) 		 
Brief communications

On stability of one-dimensional movement of viscous material

N. V. Banichuk, S. Yu. Ivanova, V. S. Afanas'ev

Ishlinsky Institute for Problems in Mechanics RAS, 101, bld. 1, Vernadskogo Ave., 119526 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-10-86-90
Abstract: One-dimensional movement of tensioned viscous material stream is considered. Applying the laws of a mass and motion quantity conservation it is shown, that the stationary flow is characterised by exponential decrease of stream width and corresponding increase of stream velocity. Equations for perturbations of station variables are derived, which depend on the defining parameter. This parameter characterises the combined influence of viscosity, density, initial velocity and length of the considered interval. For small parameter values dynamic stability of one-dimensional material motion is established.
Keywords: moving material, viscosity, stability.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation АААА-А20-120011690132-4
Russian Foundation for Basic Research 20-08-00082_а
Received: 05.06.2020
Revised: 05.06.2020
Accepted: 29.06.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 10, Pages 79–82
DOI: https://doi.org/10.3103/S1066369X20100084
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: N. V. Banichuk, S. Yu. Ivanova, V. S. Afanas'ev, “On stability of one-dimensional movement of viscous material”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 10, 86–90; Russian Math. (Iz. VUZ), 64:10 (2020), 79–82
Citation in format AMSBIB
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\pages 86--90
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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