Stretching of heated threads with temperature-dependent viscosity : Asymptotic analysis
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 553-572 |
| Journal / Publication | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 7 |
| Issue number | 3 |
| Publication status | Published - May 2007 |
Link(s)
Abstract
We consider the stretching of a thin cylindrical thread with viscosity that depends on temperature. The thread is pulled with a prescribed force while receiving continuous heating from an external axially nonuniform heater. We use the canonical equations derived by Huang et al. (2007) and consider the limit of large dimensionless heating rate. We show that the asymptotic solution depends only on the local properties of the heating near its maximal heating value. We derive a uniformly valid asymptotic solution for the shape and the temperature profiles during the stretching process. We use a criterion to determine when breaking will occur and derive simple analytical expressions for the shape at breaking that clearly show the influence of heating strength and the degree of localization of the heating. The asymptotic shape profiles give good agreement with numerical simulations. These results are applied to the formation of glass microelectrodes.
Research Area(s)
- Asymptotic analysis, Glass microelectrodes, Incompressible fluids, Temperature dependent viscosity
Citation Format(s)
Stretching of heated threads with temperature-dependent viscosity: Asymptotic analysis. / Howell, P. D.; Wylie, J. J.; Huang, H. et al.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 7, No. 3, 05.2007, p. 553-572.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 7, No. 3, 05.2007, p. 553-572.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
