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Motion of thin droplets due to surfa...
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Clay, Matthew Allen.
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Motion of thin droplets due to surfactants and gravity.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Motion of thin droplets due to surfactants and gravity./
作者:
Clay, Matthew Allen.
面頁冊數:
178 p.
附註:
Adviser: Michael J. Miksis.
Contained By:
Dissertation Abstracts International68-03B.
標題:
Physics, Fluid and Plasma. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3255926
Motion of thin droplets due to surfactants and gravity.
Clay, Matthew Allen.
Motion of thin droplets due to surfactants and gravity.
- 178 p.
Adviser: Michael J. Miksis.
Thesis (Ph.D.)--Northwestern University, 2007.
The motion of thin drops under the effects of surfactants and gravity is studied. First, the effects of surfactant and temperature on the spreading of a viscous droplet are considered. Lubrication theory is used to develop a two-dimensional model for the evolution of the droplet. The surfactant is assumed to be insoluble, and it may transport onto and off of the droplet interface at the contact line. A linear temperature gradient and a gradient in the surface energy along the substrate are examined. We find that these effects together can increase the speed of the translation of the droplet. When contact-angle hysteresis is included, surfactant transport along the interface can cause the droplet to stop moving. These results are compared with a three-dimensional axisymmetric lubrication model and are found to be in good agreement. A fully three-dimensional lubrication model is formed that allows the droplet to translate down an inclined plane. Critical Bond numbers and angles of inclination are calculated for when the droplet remains pinned to the plane. A larger hysteresis window is found to require a higher Bond number to force the droplet to begin moving. These results compare favorably with other published studies. We construct a stability diagram that details the Bond numbers for which the droplet will remain pinned to the surface, when it will translate at a steady speed, and when it will begin to deform. The formation of cusps and pearling behavior of droplets is discussed.Subjects--Topical Terms:
1018402
Physics, Fluid and Plasma.
Motion of thin droplets due to surfactants and gravity.
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The motion of thin drops under the effects of surfactants and gravity is studied. First, the effects of surfactant and temperature on the spreading of a viscous droplet are considered. Lubrication theory is used to develop a two-dimensional model for the evolution of the droplet. The surfactant is assumed to be insoluble, and it may transport onto and off of the droplet interface at the contact line. A linear temperature gradient and a gradient in the surface energy along the substrate are examined. We find that these effects together can increase the speed of the translation of the droplet. When contact-angle hysteresis is included, surfactant transport along the interface can cause the droplet to stop moving. These results are compared with a three-dimensional axisymmetric lubrication model and are found to be in good agreement. A fully three-dimensional lubrication model is formed that allows the droplet to translate down an inclined plane. Critical Bond numbers and angles of inclination are calculated for when the droplet remains pinned to the plane. A larger hysteresis window is found to require a higher Bond number to force the droplet to begin moving. These results compare favorably with other published studies. We construct a stability diagram that details the Bond numbers for which the droplet will remain pinned to the surface, when it will translate at a steady speed, and when it will begin to deform. The formation of cusps and pearling behavior of droplets is discussed.
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