MAGNETIC EFFECTS ON NONLINEAR MARANGONI FLOW IN PLANE LIQUID BRIDGE

Citation
A. Viviani et al., MAGNETIC EFFECTS ON NONLINEAR MARANGONI FLOW IN PLANE LIQUID BRIDGE, Acta astronautica, 41(2), 1997, pp. 113-120
Citations number
13
Journal title
ISSN journal
00945765
Volume
41
Issue
2
Year of publication
1997
Pages
113 - 120
Database
ISI
SICI code
0094-5765(1997)41:2<113:MEONMF>2.0.ZU;2-S
Abstract
Thermocapillary flow arises under zero-gravity in a plane layer of liq uid metal bounded by two plane fixed interfaces with a passive gas and held by two differentially heated walls. On the interfaces the surfac e tension depends quadratically, with a maximum, on the temperature (n on-linear Marangoni flow). The fluid considered has a low Prandtl numb er (Pr = 0.01) and is electrically conducting with a magnetic Prandtl number negligible. The unsteady two-dimensional Navier-Stokes equation s in the velocity-vorticity formulation are-salved by a Galerkin Finit e Element semi-implicit method. For high conditional Reynolds numbers Re the flow becomes oscillatory; by increasing further the Re the flow reaches a new steady state. To drag the oscillations a uniform and st eady magnetic field is applied normal to the plane of the bridge. Crit ical Reynolds numbers are calculated for an aspect ratio A = 4 for var ious values of the magnetic held. (C) 1998 Elsevier Science Ltd. All r ights reserved.