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Title :The Relative Contribution of Solutal Marangoni Convection to Thermal Marangoni Flow Instabilities in a Liquid Bridge of Smaller Aspect Ratios under Zero Gravity
Authors :Agampodi Mendis, Radeesha Laknath
Sekimoto, Atsushi
Okano, Yasunori
Minakuchi, Hisashi
Dost, Sadik
Issue Date :26-Jan-2021
Abstract :The effect of solutal Marangoni convection on flow instabilities in the presence of thermal Marangoni convection in a Si-Ge liquid bridge with different aspect ratios A_s has been investigated by three-dimensional (3D) numerical simulations under zero gravity. We consider a half-zone model of a liquid bridge between a cold (top plane) and a hot (bottom plane) disks. The highest Si concentration is on the top of the liquid bridge. The aspect ratio (A_s) drastically affects the critical Marangoni numbers: the critical solutal Marangoni number (under small thermal Marangoni numbers (Ma_TA_s<_~1800)) has the same dependence on As as the critical thermal Marangoni number (under small solutal Marangoni numbers (400<_~Ma_CA_s<_~800)), i.e., it decreases with increasing A_s. The azimuthal wavenumber of the traveling wave mode increases as decreasing A_s, i.e., larger azimuthal wavenumbers (m=6,7,11,12, and 13) appear for A_s=0.25, and only m=2 appears when A_s is one and larger. The oscillatory modes of the hydro waves have been extracted as the spatiotemporal structures by using dynamic mode decomposition (DMD). The present study suggests a proper parameter region of quiescent steady flow suitable for crystal growth for smaller aspect ratios of the liquid bridge.
URL :https://doi.org/10.3390/cryst11020116
Type Local :雑誌掲載論文
ISSN :2073-4352
Publisher :MDPI
URI :http://hdl.handle.net/20.500.12000/48145
Citation :Crystals Vol.11 no.2
Appears in Collections:Peer-reviewed Journal Articles (Faculty of Engineering)

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