Prosiectau fesul blwyddyn
Crynodeb
The stability of a Plateau border between three soap films is considered, taking into account the effects of line tension and bending stiffness in the border. A simple geometry is considered, in which the border initially lies in equilibrium along the axis of a circular cylinder, with three equallyspaced films radiating outwards to meet the inside wall of the cylinder. The films are pinned at the two ends of the cylinder with a fixed relative twist, so the initial film surfaces are helicoids. The stability of this system to small perturbations, involving both the films and the border, is investigated as a function of the cylinder aspect ratio, twist angle, film surface tension, border line tension, and border bending stiffness. Analytically, the stability problem is reduced to finding the first occurrence of a zero eigenvalue of an infinite matrix, which is then estimated numerically. The results from this calculation are in good agreement with full numerical simulations.
Iaith wreiddiol  Saesneg 

Rhif yr erthygl  hxy063 
Tudalennau (oi)  385415 
Nifer y tudalennau  31 
Cyfnodolyn  IMA Journal of Applied Mathematics 
Cyfrol  84 
Rhif cyhoeddi  2 
Dyddiad arlein cynnar  14 Ion 2019 
Dynodwyr Gwrthrych Digidol (DOIs)  
Statws  Cyhoeddwyd  01 Ebr 2019 
Ôl bys
Gweld gwybodaeth am bynciau ymchwil 'Stability of a twisted Plateau border with line tension and bending stiffness'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.Proffiliau

Simon Cox
 Cyfadran Busnes a’r Gwyddorau Ffisegol, Mathemateg  Professor, Head of Department (Maths)
Unigolyn: Dysgu ac Ymchwil
Setiau Data

Supporting information for "Stability of a Twisted Plateau Border with Line Tension and Bending Stiffness"
Cox, S., Prifysgol Aberystwyth  Aberystwyth University, 13 Maw 2019
Dangosydd eitem ddigidol (DOI): 10.20391/8ad4a391b7a542e6b2a575c97c091dca, http://facstaff.susqu.edu/brakke/evolver/evolver.html
Set ddata
Ffeil
Prosiectau
 1 Wedi Gorffen

Flow of GasLiquid Foams in Narrow Complex Geometries
Engineering & Physical Sciences Research Council
01 Ebr 2016 → 31 Maw 2019
Prosiect: Ymchwil a ariannwyd yn allanol