Howell, P. D. and Siegel, M. (2004) The evolution of a slender nonaxisymmetric drop in an extensional flow. Journal of Fluid Mechanics, 521 . pp. 155180.
This is the latest version of this item.

PDF
858kB 
Abstract
An asymptotic method for analysing slender nonaxisymmetric drops, bubbles and jets in a general straining flow is developed. The method relies on the slenderness of the geometry to reduce the threedimensional equations to a sequence of weakly coupled, quasitwodimensional Stokes flow problems for the crosssectional evolution. Exact solution techniques for the flow outside a bubble in twodimensional Stokes flow are generalised to solve for the transverse flow field, allowing large nonaxisymmetric deformations to be described. A generalisation to the case where the interior contains a slightly viscous fluid is also presented.
Our method is used to compute steady nonaxisymmetric solution branches for inviscid bubbles and slightly viscous drops. We also present unsteady numerical solutions showing how the eccentricity of the crosssection adjusts to a nonaxisymmetric external flow. Finally, we use our theory to investigate how the pinchoff of a jet of relatively inviscid fluid is affected by a twodimensional straining crossflow.
Item Type:  Article 

Subjects:  D  G > Fluid mechanics 
Research Groups:  Oxford Centre for Industrial and Applied Mathematics 
ID Code:  209 
Deposited By:  Peter Howell 
Deposited On:  06 Oct 2005 
Last Modified:  29 May 2015 18:18 
Available Versions of this Item

The evolution of a slender nonaxisymmetric drop in an extensional flow. (deposited 09 Aug 2004)
 The evolution of a slender nonaxisymmetric drop in an extensional flow. (deposited 06 Oct 2005) [Currently Displayed]
Repository Staff Only: item control page