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Language: korean

Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received February 14, 2009
Accepted March 6, 2009

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Marangoni 대류계에서의 안정성 교환의 원리

Principle of Exchange of Stabilities in the Marangoni Convection System

김민찬^†

Min Chan Kim^†

제주대학교 화학공학과, 690-756 제주시 제주대학로 66

Department of Chemical Engineering, Cheju National University, 66 Jejudaehakno, Jeju-si 690-756, Korea

mckim@cheju.ac.kr

Korean Chemical Engineering Research, April 2009, 47(2), 262-265(4), NONE Epub 6 May 2009

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Abstract

초기에 안정하게 유지되고 있는 수평 유체층에서 급격한 온도 변화에 의한 Marangoni 대류 발생계에서 안정성 교환의 원리를 해석적으로 증명하였다. 선형 안정성 이론하에서 온도 및 속도의 교란량을 직교함수들의 선형 조합으로 나타내고, 온도 교란의 성장률이 모든 Marangoni 수 범위에 대하여 실수임을 보였다.

For the initially quiescent fluid layer, the principle of the exchange of stabilities for the Marangoni convection due to the impulsive temperature change is proven analytically. Under the linear stability theory, the temperature and vertical velocity disturbances are express as the liner combination of the orthogonal functions. It is shown that the growth rate of the temperature disturbance is the real function for all positive Marangoni numbers.

Keywords

Marangoni Convection Exchange of Stabilities

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