Similarity Solutions of Marangoni Convection Boundary Layer Flow with Gravity and External Pressure

张艳; 郑连存

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Similarity Solutions of Marangoni Convection Boundary Layer Flow with Gravity and External Pressure

催化、动力学与反应工程 | Updated：2026-01-06

- Similarity Solutions of Marangoni Convection Boundary Layer Flow with Gravity and External Pressure
- Similarity Solutions of Marangoni Convection Boundary Layer Flow with Gravity and External Pressure
- 中国化学工程学报（英文版） 2014年22卷第4期页码：365-3691004-954160040-9
- Affiliations：
  
  2 School of Mathematics and Physics, University of Science and Technology Beijing,Beijing,China,100083
- Author bio：
- Funds：
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  中图分类号：
- 纸质出版：2014
- Accepted：
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张艳, 郑连存. Similarity Solutions of Marangoni Convection Boundary Layer Flow with Gravity and External Pressure[J]. 中国化学工程学报（英文版）, 2014,22(4):365-3691004-954160040-9.

ZHANG Yan, ZHENG Liancun. Similarity Solutions of Marangoni Convection Boundary Layer Flow with Gravity and External Pressure[J]. Chin.J.Chem.Eng., 2014, 22(4): 365-369.
张艳, 郑连存. Similarity Solutions of Marangoni Convection Boundary Layer Flow with Gravity and External Pressure[J]. 中国化学工程学报（英文版）, 2014,22(4):365-3691004-954160040-9. DOI：

ZHANG Yan, ZHENG Liancun. Similarity Solutions of Marangoni Convection Boundary Layer Flow with Gravity and External Pressure[J]. Chin.J.Chem.Eng., 2014, 22(4): 365-369. DOI：

摘要

Abstract

This study is focused on a steady dissipative layer

which is generated by Marangoni convection flow over the surface resulted from an imposed temperature gradient

coupled with buoyancy effects due to gravity and external pressure. A model is proposed with Marangoni condition in the boundary conditions at the interface. The similarity equations are determined and approximate analytical solutions are obtained by an efficient transformation

asymptotic expansion and Padé approximant technique. For the cases that buoyancy force is favorable or unfavorable to Marangoni flow

the features of flow and temperature fields are investigated in terms of Marangoni mixed convection parameter and Prantl number.

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