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Transient Marangoni convection induced by an isothermal sidewall of a rectangular liquid pool

Published online by Cambridge University Press:  04 October 2021

Enhui Chen
Affiliation:
School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, PR China
Feng Xu*
Affiliation:
Beijing's Key Laboratory of Structural Wind Engineering and Urban Wind Environment, Beijing 100044, PR China
*
Email address for correspondence: [email protected]

Abstract

Transient Marangoni convection induced by an isothermal sidewall of a rectangular pool under a zero-gravity condition is studied using scaling analysis. Scaling analysis shows that there exist a number of flow regimes in each evolution scenario, depending on the Marangoni number, the Prandtl number and the aspect ratio. In a typical evolution scenario, a horizontal surface flow and a vertical flow adjacent to the sidewall may appear. Additionally, a number of scaling laws of the velocity and thickness of transient Marangoni convection are obtained. Further, numerical simulation is performed for validation of the selected scaling laws. There exits good agreement between the numerical results and the scaling predictions.

Type
JFM Papers
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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