Topic
Marangoni effect
About: Marangoni effect is a research topic. Over the lifetime, 5336 publications have been published within this topic receiving 98562 citations. The topic is also known as: Gibbs–Marangoni effect.
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TL;DR: In this article, a novel technique has been developed for evaluation of the critical Marangoni number Ma 2 c for time-dependent convection in silicon, which was achieved by observing the onset of formation of dopant striations in silicon crystals grown by the floating-zone-technique with small free melt surfaces.
74 citations
TL;DR: In this article, the authors investigated the time evolution of a thin liquid film flowing down a heated solid porous substrate using the Navier-Stokes and Darcy-Brinkman equations in the film and the porous layer.
Abstract: The time evolution of a thin liquid film flowing down a heated solid porous substrate is investigated. Using the Navier–Stokes and Darcy–Brinkman equations in the film and the porous layer, respectively, the problem is reduced to the study of the evolution equation for the free surface of the liquid film derived through a long-wave approximation. A linear stability analysis of the base flow is performed and the critical Reynolds and Marangoni numbers are obtained. A nonlinear analysis using continuation techniques shows that the base flow yields to stationary surface structures ranging from surface waves to large amplitude structures resembling sliding drops or ridges. It is also shown under what conditions the porous layer can be replaced by an effective slip boundary condition at the liquid-solid interface. Then, the corresponding slip length is calculated from the porous layer characteristics (thickness, porosity, and Darcy number).
74 citations
TL;DR: In this paper, a discussion is presented concerning the motion of droplets in a surrounding fluid induced by a temperature gradient, which is characterized as the tangential stress at the interface that is induced by the temperature gradient's variation of interfacial tension, causing motion in neighboring fluid both inside and outside the droplet.
73 citations
TL;DR: An excellent surfactant mass conservation without any additional mass correction scheme is obtained and the differences in using a linear and a nonlinear equation of state, respectively, on the flow dynamics of a freely oscillating droplet are demonstrated.
73 citations
TL;DR: In this article, a novel interface captured technique was used to provide insights to simulate the melt flow by considering interfacial forces via surface tension, Marangoni convection and recoil pressure.
73 citations