Extensional flows with viscous heating

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)359-370
Journal / PublicationJournal of Fluid Mechanics
Volume571
Publication statusPublished - 25 Jan 2007

Abstract

In this paper we investigate the role played by viscous heating in extensional flows of viscous threads with temperature-dependent viscosity. We show that there exists an interesting interplay between the effects of viscous heating, which accelerates thinning, and inertia, which prevents pinch-off. We first consider steady drawing of a thread that is fed through a fixed aperture at given speed and pulled with a constant force at a fixed downstream location. For pulling forces above a critical value, we show that inertialess solutions cannot exist and inertia is crucial in controlling the dynamics. We also consider the unsteady stretching of a thread that is fixed at one end and pulled with a constant force at the other end. In contrast to the case in which inertia is neglected, the thread will always pinch at the end where the force is applied. Our results show that viscous heating can have a profound effect on the final shape and total extension at pinching. © 2007 Cambridge University Press.

Citation Format(s)

Extensional flows with viscous heating. / Wyle, Jonathan J.; Huang, Huaxiong.

In: Journal of Fluid Mechanics, Vol. 571, 25.01.2007, p. 359-370.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal