Mathematical modelling of non-axisymmetric capillary tube drawing

DOI10.1017/S002211200800147XzbMath1145.76018MaRDI QIDQ3529483

P. D. Howell, Ian M. Griffiths

Publication date: 13 October 2008

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

Lagrangian coordinatestwo-dimensional Stokes flowsurface-tension-driven evolutionVello process

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (10)

Optimal control of a non-isothermal tube drawing process ⋮ Stability of drawing of microstructured optical fibres ⋮ Asymptotic Analysis for Fiber Drawing Processes ⋮ Extensional flow of a compressible viscous fluid ⋮ Melting and dripping of a heated material with temperature-dependent viscosity in a thin vertical tube ⋮ Mathematical modelling of a viscida network ⋮ Statics and dynamics of a viscous ligament drawn out of a pure-liquid bath ⋮ Gravitational extension of a fluid cylinder with internal structure ⋮ Extension of a viscous thread with temperature-dependent viscosity and surface tension ⋮ Coupled fluid and energy flow in fabrication of microstructured optical fibres

Cites Work

• The mathematical modelling of capillary drawing for holey fibre manufacture
• Stretching of heated threads with temperature-dependent viscosity: asymptotic analysis
• Thermal instability in drawing viscous threads
• On a Mathematical Model for Fiber Tapering
• The buckling and stretching of a viscida
• THE BUCKLING AND STRETCHING OF A VISCIDA II. EFFECTS OF SURFACE TENSION
• Heat-Induced Stretching of a Glass Tube Under Tension: Application to Glass Microelectrodes
• On the evolution of non-axisymmetric viscous fibres with surface tension, inertia and gravity
• On the Formation of Glass Microelectrodes
• The surface-tension-driven evolution of a two-dimensional annular viscous tube
• The flow of a tubular film Part 2. Interpretation of the model and discussion of solutions
• The flow of a tubular film. Part 1. Formal mathematical representation

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