UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Hele-Shaw flow driven by an electric field

Khalid, AH; McDonald, NR; Vanden-Broeck, J-M; (2014) Hele-Shaw flow driven by an electric field. European Journal of Applied Mathematics , 25 (4) 425 - 447. 10.1017/S0956792513000351. Green open access

[thumbnail of ali-robb-jeanmarc-ejam2014.pdf]
Preview
PDF
ali-robb-jeanmarc-ejam2014.pdf
Available under License : See the attached licence file.

Download (1MB)

Abstract

The behaviour of two-dimensional finite blobs of conducting viscous fluid in a Hele-Shaw cell subject to an electric field is considered. The time-dependent free boundary problem is studied both analytically using the Schwarz function of the free boundary and numerically using a boundary integral method. Various problems are considered, including (i) the behaviour of an initially circular blob of conducting fluid subject to an electric point charge located arbitrarily within the blob, (ii) the delay in cusp formation on the free boundary in sink-driven flow due to a strategically placed electric charge and (iii) the stability of exact steady solutions having both hydrodynamic and electric forcing. Copyright © Cambridge University Press 2013.

Type: Article
Title: Hele-Shaw flow driven by an electric field
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0956792513000351
Publisher version: http://dx.doi.org/10.1017/S0956792513000351
Language: English
Additional information: This is the authors' accepted version of this published article.
Keywords: Hele-Shaw flows, free boundary problems, complex variable methods
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1434747
Downloads since deposit
199Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item