Marangoni instability of a liquid layer with insoluble surfactant under heat flux modulation
1 Physics Department, Sam Houston State University, Huntsville, TX 77341, USA
2 School of Arts and Sciences, Strayer University – Katy, Houston, TX 77079, USA
3 Department of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, Israel
Revised: 18 January 2013
Published online: 19 March 2013
We investigate the parametric excitation of Marangoni convection by a periodic flux modulation in a liquid layer with insoluble surfactant absorbed on the nondeformable free surface. The stability analysis of the convective system is performed for arbitrary wave numbers of the disturbances. An interesting feature of the onset of convection is the existence of bifurcating neutral curves with double minima, one of which corresponds to a quasi-periodic solution, and the other one corresponds to a subharmonic solution. The evolution of the subharmonic instability region depending on the amplitude of the external heat flux modulation and the frequency of the modulation is studied. The quasi-periodic neutral curve is close to the oscillatory neutral curve of the nonmodulated problem.
© EDP Sciences, Springer-Verlag, 2013