Thermal instability in drawing viscous threads

Document Type

Article

Publication Date

1-10-2007

Abstract

We consider the stretching of a thin viscous thread, whose viscosity depends on temperature, that is heated by a radiative heat source. The thread is fed into an apparatus at a fixed speed and stretched by imposing a higher pulling speed at a fixed downstream location. We show that thermal effects lead to the surprising result that steady states exist for which the force required to stretch the thread can decrease when the pulling speed is increased. By considering the nature of the solutions, we show that a simple physical mechanism underlies this counterintuitive behaviour. We study the stability of steady-state solutions and show that a complicated sequence of bifurcations can arise. In particular, both oscillatory and non-oscillatory instabilities can occur in small isolated windows of the imposed pulling speed. © 2007 Cambridge University Press.

Identifier

33845989931 (Scopus)

Publication Title

Journal of Fluid Mechanics

External Full Text Location

https://doi.org/10.1017/S0022112006002709

e-ISSN

14697645

ISSN

00221120

First Page

1

Last Page

16

Volume

570

Grant

CityU 102705

Fund Ref

Natural Sciences and Engineering Research Council of Canada

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