Picture of UK Houses of Parliament

Leading national thinking on politics, government & public policy through Open Access research

Strathprints makes available scholarly Open Access content by researchers in the School of Government & Public Policy, based within the Faculty of Humanities & Social Sciences.

Research here is 1st in Scotland for research intensity and spans a wide range of domains. The Department of Politics demonstrates expertise in understanding parties, elections and public opinion, with additional emphases on political economy, institutions and international relations. This international angle is reflected in the European Policies Research Centre (EPRC) which conducts comparative research on public policy. Meanwhile, the Centre for Energy Policy provides independent expertise on energy, working across multidisciplinary groups to shape policy for a low carbon economy.

Explore the Open Access research of the School of Government & Public Policy. Or explore all of Strathclyde's Open Access research...

Three-dimensional numerical simulation of Marangoni instabilities in liquid bridges : influence of geometrical aspect ratio

Lappa, M. and Savino, R. and Monti, R. (2001) Three-dimensional numerical simulation of Marangoni instabilities in liquid bridges : influence of geometrical aspect ratio. International Journal of Numerical Methods in Fluids, 36 (1). pp. 53-90. ISSN 0271-2091

Text (Lappa-etal-IJNMF-2001-Three-dimensional-numerical-simulation-of-Marangoni-instabilities)
Accepted Author Manuscript

Download (1MB)| Preview


    Oscillatory Marangoni convection in silicone oil liquid bridges with different geometrical aspect ratios is investigated by three-dimensional and time-dependent numerical simulations, based on control volume methods in staggered cylindrical non uniform grids. The three-dimensional oscillatory flow regimes are studied and compared with previous experimental and theoretical results. The results show that the critical wave number (m), related to the azimuthal spatio-temporal flow structure, is a monotonically decreasing function of the geometrical aspect ratio of the liquid bridge (defined as ratio of the length to the diameter). For this function a general correlation formula is found, that is in agreement with the previous experimental findings. The critical Marangoni number and the oscillation frequency are decreasing functions of the aspect ratio; however, the critical Marangoni number, based on the axial length of the bridge, does not change much with the aspect ratio. For each aspect ratio investigated, the onset of the instability from the axi-symmetric steady state to the three-dimensional oscillatory one is characterized by the appearance of a standing wave regime that exhibits, after a certain time, a second transition to a travelling wave regime. The standing wave regime is more stable for lower aspect ratios since it lasts for a long time. This behaviour is explained on the basis of the propagation velocity of the disturbances in the liquid phase; for this velocity a general correlation law is found as function of the aspect ratio and of the Marangoni number.