Eur. Phys. J. AP 16, 217-229 (2001)
https://doi.org/10.1051/epjap:2001212

Coupling between Marangoni and Rosensweig instabilities

¹ Microgravity Research Center, Fac. des Sciences Appliquées, Université Libre de Bruxelles, Campus Solbosch, CP 165/62, avenue F.D. Roosevelt, 1050 Bruxelles, Belgium
² Association Euratom-État Belge, Fac. des Sciences, Université Libre de Bruxelles, Campus Plaine, CP 231, boulevard du Triomphe, 1050 Bruxelles, Belgium
³ Institute of Mechanics, Bulgarian Acad. of Sciences, Ac. G. Bontchev St., Bl 4, 1113 Sofia, Bulgaria

Corresponding authors: mhennenb@ulb.ac.be bweyssow@ulb.ac.be slavcho@bgcict.acad.bg

Received: 23 April 2001
Revised: 18 July 2001
Accepted: 16 August 2001
Published online: 15 December 2001

Abstract

Two semi-infinite incompressible and immiscible viscous fluids of infinite lateral extent are considered in the gravity field. One of them is ferromagnetic and the other is a usual Newtonian liquid. Such a system is submitted to a magnetic field normal to the reference flat surface, which separates the two bulks. Developing the linear stability analysis, we show that the Rosensweig critical values for transverse waves remain unaffected by a solutal or thermal Marangoni instability.