Marangoni 대류계에서의 안정성 교환의 원리

Principle of Exchange of Stabilities in the Marangoni Convection System

  • 김민찬 (제주대학교 화학공학과)
  • Kim, Min Chan (Department of Chemical Engineering, Cheju National University)
  • 투고 : 2009.02.14
  • 심사 : 2009.03.06
  • 발행 : 2009.04.30

초록

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.

키워드

참고문헌

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