Abstract:
The aim of this paper is to investigate stability of an isothermal glass tube drawing process
through control parameters by the method of linear stability analysis. We want to see how the
process parameters effect stability of the physical system being considered. For this purpose, we not
only prove the existence and uniqueness of the solutions of steady state isothermal tube drawing
model but also determine its numerical solution. To perform linear stability analysis, steady state
numerical solution is incorporated in the eigenvalue problem, formulated by linearizing the isothermal
model. The eigenvalue problem is then solved numerically to determine the critical draw ratio
which indicates the onset of instabilities. To the end, stability of the process is analyzed using three
different values of space step size. We also observe and discuss the effect of density, viscosity and
pressure on stability of the isothermal tube drawing model.
