On stability of steady nonlinear rotating viscoelastic jets

Recently Riahi (2018) studied steady nonlinear rotating viscoelastic jet, which was subjected to the Giesekus constitutive equations for the stress tensor. He applied scaling, perturbation and numerical techniques for the viscoelastic jet with sufficiently small aspect ratio and determined the nonli...

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Autor principal:	Daniel N. Riahi
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2020
Materias:	47.32.Ef 47.15.Uv 47.85.Dh 47.20.Ft Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/e2565d7fd61542219297128675b2e08a
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spelling	oai:doaj.org-article:e2565d7fd61542219297128675b2e08a2021-12-01T05:05:22ZOn stability of steady nonlinear rotating viscoelastic jets2666-496810.1016/j.apples.2020.100010https://doaj.org/article/e2565d7fd61542219297128675b2e08a2020-06-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496820300108https://doaj.org/toc/2666-4968Recently Riahi (2018) studied steady nonlinear rotating viscoelastic jet, which was subjected to the Giesekus constitutive equations for the stress tensor. He applied scaling, perturbation and numerical techniques for the viscoelastic jet with sufficiently small aspect ratio and determined the nonlinear steady solutions for the jet. He then calculated and described the results for the jet quantities such as radius, speed, stretching rate, strain rate and tensile force. In this paper we investigate stability of the nonlinear steady solutions of the time dependent form of such jet system, by superimposing small amplitude disturbances in the form of travelling waves that can grow in time, in space or simultaneously in time and in space. We find, in particular, a main condition for the existence of instability is that the growth rates of the disturbances should depend on the arc length of the jet. Under such condition, the only possible instability of the steady solution is temporal in nature and is due only to disturbances that simultaneously grow in time but decay in space. The growth rates of these disturbances increase with increasing the rotation rate, viscoelasticity and the arc length of the jet. However, the magnitude of such growth rate decreases with increasing the fluid viscosity and surface tension.Daniel N. RiahiElsevierarticle47.32.Ef47.15.Uv47.85.Dh47.20.FtEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 2, Iss , Pp 100010- (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	47.32.Ef 47.15.Uv 47.85.Dh 47.20.Ft Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	47.32.Ef 47.15.Uv 47.85.Dh 47.20.Ft Engineering (General). Civil engineering (General) TA1-2040 Daniel N. Riahi On stability of steady nonlinear rotating viscoelastic jets
description	Recently Riahi (2018) studied steady nonlinear rotating viscoelastic jet, which was subjected to the Giesekus constitutive equations for the stress tensor. He applied scaling, perturbation and numerical techniques for the viscoelastic jet with sufficiently small aspect ratio and determined the nonlinear steady solutions for the jet. He then calculated and described the results for the jet quantities such as radius, speed, stretching rate, strain rate and tensile force. In this paper we investigate stability of the nonlinear steady solutions of the time dependent form of such jet system, by superimposing small amplitude disturbances in the form of travelling waves that can grow in time, in space or simultaneously in time and in space. We find, in particular, a main condition for the existence of instability is that the growth rates of the disturbances should depend on the arc length of the jet. Under such condition, the only possible instability of the steady solution is temporal in nature and is due only to disturbances that simultaneously grow in time but decay in space. The growth rates of these disturbances increase with increasing the rotation rate, viscoelasticity and the arc length of the jet. However, the magnitude of such growth rate decreases with increasing the fluid viscosity and surface tension.
format	article
author	Daniel N. Riahi
author_facet	Daniel N. Riahi
author_sort	Daniel N. Riahi
title	On stability of steady nonlinear rotating viscoelastic jets
title_short	On stability of steady nonlinear rotating viscoelastic jets
title_full	On stability of steady nonlinear rotating viscoelastic jets
title_fullStr	On stability of steady nonlinear rotating viscoelastic jets
title_full_unstemmed	On stability of steady nonlinear rotating viscoelastic jets
title_sort	on stability of steady nonlinear rotating viscoelastic jets
publisher	Elsevier
publishDate	2020
url	https://doaj.org/article/e2565d7fd61542219297128675b2e08a
work_keys_str_mv	AT danielnriahi onstabilityofsteadynonlinearrotatingviscoelasticjets
_version_	1718405574133022720

On stability of steady nonlinear rotating viscoelastic jets

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