Pattern formation and mass transfer under stationary solutal Marangoni instability

Karin Schwarzenberger; Thomas Köllner; Hartmut Linde; Thomas Boeck; Stefan Odenbach; Kerstin Eckert

doi:10.1016/j.cis.2013.10.003

Pattern formation and mass transfer under stationary solutal Marangoni instability

Adv Colloid Interface Sci. 2014 Apr:206:344-71. doi: 10.1016/j.cis.2013.10.003. Epub 2013 Oct 21.

Authors

Karin Schwarzenberger¹, Thomas Köllner², Hartmut Linde³, Thomas Boeck⁴, Stefan Odenbach⁵, Kerstin Eckert⁶

Affiliations

¹ Institute of Fluid Mechanics, Chair of Magnetofluiddynamics, Measuring and Automation Technology, TU Dresden, D-01062 Dresden, Germany. Electronic address: Karin.Schwarzenberger@tu-dresden.de.
² Institute of Thermodynamics and Fluid Mechanics, Ilmenau University of Technology, P.O. Box 100565, D-98684 Ilmenau, Germany. Electronic address: Thomas.Koellner@tu-ilmenau.de.
³ Str. 201, Nr. 6, 13156 Berlin, Germany.
⁴ Institute of Thermodynamics and Fluid Mechanics, Ilmenau University of Technology, P.O. Box 100565, D-98684 Ilmenau, Germany.
⁵ Institute of Fluid Mechanics, Chair of Magnetofluiddynamics, Measuring and Automation Technology, TU Dresden, D-01062 Dresden, Germany.
⁶ Institute of Fluid Mechanics, Chair of Magnetofluiddynamics, Measuring and Automation Technology, TU Dresden, D-01062 Dresden, Germany. Electronic address: Kerstin.Eckert@tu-dresden.de.

PMID: 24456800
DOI: 10.1016/j.cis.2013.10.003

Abstract

According to the seminal theory by Sternling and Scriven, solutal Marangoni convection during mass transfer of surface-active solutes may occur as either oscillatory or stationary instability. With strong support of Manuel G. Velarde, a combined initiative of experimental works, in particular to mention those of Linde, Wierschem and coworkers, and theory has enabled a classification of dominant wave types of the oscillatory mode and their interactions. In this way a rather comprehensive understanding of the nonlinear evolution of the oscillatory instability could be achieved. A comparably advanced state-of-the-art with respect to the stationary counterpart seemed to be out of reach a short time ago. Recent developments on both the numerical and experimental side, in combination with assessing an extensive number of older experiments, now allow one to draw a more unified picture. By reviewing these works, we show that three main building blocks exist during the nonlinear evolution: roll cells, relaxation oscillations and relaxation oscillations waves. What is frequently called interfacial turbulence results from the interaction between these partly coexisting basic patterns which may additionally occur in different hierarchy levels. The second focus of this review lies on the practical importance of such convection patterns concerning their influence on mass transfer characteristics. Particular attention is paid here to the interaction between Marangoni and buoyancy effects which frequently complicates the pattern formation even more. To shed more light on these dependencies, new simulations regarding the limiting case of stabilizing density stratification and vanishing buoyancy are incorporated.

Keywords: Buoyancy; Mass transfer enhancement; Numerical simulations; Solutal Marangoni instability; Stable density stratification; Stationary mode; Surfactant.