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논문 기본 정보

자료유형
학위논문
저자정보

박임봉 (서울대학교, 서울대학교 대학원)

지도교수
박형민
발행연도
2015
저작권
서울대학교 논문은 저작권에 의해 보호받습니다.

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In the present study, we theoretically predict the collapse transitions (de-pinning from the edges of the microgrates or sagging touchdown), and estimate the plastron longevity on surperhydrophobic surfaces made up of micro-scale grates, under the fluctuating water pressure and diffusion of the trapped air. Assuming a harmonically fluctuating water pressure, we constitute a non-linear oscillator equation that is to be solved for a wide range of parameters for surface geometry and fluctuating pressure. Depending on the behavior of the air-water interface, we also classify the regimes of plastron breakdown, i.e. transient and long-term regimes, where the roles of dynamic pressure and gaseous diffusion are dominant, respectively. The dependence of the plastron longevity on surface geometry is found such that the plastron on low gas fraction (<~20%) surface (breaks at long-term regime) lasts days while the one with higher gas fraction (>~70% - 90%), more susceptible to the pressure fluctuation, lasts a shorter duration. Finally, we suggest a new parameter (so-called a longevity factor), which is the ratio of the dominance of the air compression due to the water impalement (i.e. interface deflection) to rate of the plastron contact angle change due to gas diffusion, to assess the effect of fluctuating pressure. That is, under the fluctuating water pressure, the longevity of the plastron is determined by the interplay between the pressure of the trapped air and the rate of change in the interface shape due to dynamic pressure difference across the interface.

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Contents
Abstract i
Contents iii
List of Figures iv
Nomenclature viii
Chapter
1 Introduction 1
2 Problem Formulation 6
2.1 Modeling in static condition 6
2.2 Modeling in dynamic condition 9
3 Results and Discussion 17
3.1 Collapse Criterion 17
3.2 Critical hydrostatic pressure 19
3.3 Classification of breakdown regime 20
3.4 Effects of water depth & fluctuating water pressure 21
3.5 Effects of surface geometry & sidewall’s wetting property 22
3.6 Force analysis & longevity factor 24
4 Summary and Conclusion 42
Bibliography 43

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