The surface-tension-driven evolution of a two-dimensional annular viscous tube

DOI10.1017/S0022112007008683zbMath1128.76020MaRDI QIDQ5440049

Ian M. Griffiths, P. D. Howell

Publication date: 31 January 2008

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

zbMATH Keywords

Vello processdie shapenon-axisymmetric capillary tubing

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stokes and related (Oseen, etc.) flows (76D07) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (14)

Linear and nonlinear stability of floating viscous sheets ⋮ Surface-tension-driven Stokes flow: a numerical method based on conformal geometry ⋮ Drawing of micro-structured fibres: circular and non-circular tubes ⋮ Study of the effects of inner pressure and surface tension on the fibre drawing process with the aid of an analytical asymptotic fibre drawing model and the numerical solution of the full N.-St. equations ⋮ Stability of drawing of microstructured optical fibres ⋮ Asymptotic Analysis for Fiber Drawing Processes ⋮ Extensional flow of a compressible viscous fluid ⋮ Collapsing of Glass tubes: analytic approaches in a hydrodynamic problem with free boundaries ⋮ Mathematical modelling of non-axisymmetric capillary tube drawing ⋮ Mathematical modelling of a viscida network ⋮ Microstructured optical fibre drawing with active channel pressurisation ⋮ Elliptical pore regularisation of the inverse problem for microstructured optical fibre fabrication ⋮ Gravitational extension of a fluid cylinder with internal structure ⋮ Coupled fluid and energy flow in fabrication of microstructured optical fibres

Cites Work

• A theory of exact solutions for annular viscous blobs
• The mathematical modelling of capillary drawing for holey fibre manufacture
• Bending and stretching of thin viscous sheets
• The buckling and stretching of a viscida
• THE BUCKLING AND STRETCHING OF A VISCIDA II. EFFECTS OF SURFACE TENSION
• Viscous sintering of unimodal and bimodal cylindrical packings with shrinking pores
• Plane Stokes flows with time-dependent free boundaries in which the fluid occupies a doubly-connected region
• Pressure-driven flow of a thin viscous sheet
• On the evolution of non-axisymmetric viscous fibres with surface tension, inertia and gravity

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