Onset of marangoni convection in a horizontal fluid layer experiencing evaporative cooling

被引:16
|
作者
Kim, Min C. [1 ]
Choi, Chang K.
Yoon, Do Y.
Chung, Tae J.
机构
[1] Jeju Natl Univ, Dept Chem Engn, Cheju 690756, South Korea
[2] Seoul Natl Univ, Sch Chem & Biol Engn, Seoul 151744, South Korea
[3] Kwangwoon Univ, Dept Chem Engn, Seoul 139701, South Korea
关键词
D O I
10.1021/ie070006y
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The onset of Marangoni convection in an initially isothermal, quiescent fluid layer experiencing evaporative cooling from above is analyzed theoretically. For this system, the stability analysis on regular cell modes is conducted, based on the linear stability theory, the energy method, and their modifications. The stability equations are derived and the critical time to mark the onset of convection (tau(c)) is obtained, as a function of the Marangoni number (Ma) and the Prandtl number (Pr). The linear stability theory predicts more-stable conditions than the energy method. The present results show that tau(c) decreases as Pr increases for a given Ma value. The present predictions are compared with the available experimental data of propanol.
引用
收藏
页码:5775 / 5784
页数:10
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