Skip to main content
Duke University Libraries
DukeSpace Scholarship by Duke Authors
  • Login
  • Ask
  • Menu
  • Login
  • Ask a Librarian
  • Search & Find
  • Using the Library
  • Research Support
  • Course Support
  • Libraries
  • About
View Item 
  •   DukeSpace
  • Theses and Dissertations
  • Undergraduate Honors Theses and Student papers
  • View Item
  •   DukeSpace
  • Theses and Dissertations
  • Undergraduate Honors Theses and Student papers
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Statistical Analysis of Simulations of Coarsening Droplets Coating a Hydrophobic Surface

Thumbnail
View / Download
399.0 Kb
Date
2010-05-07
Author
Semko, Jeremy
Repository Usage Stats
260
views
271
downloads
Abstract
Thin layers of slow-moving, viscous fluid which coat hydrophobic surfaces are shaped by the competing forces of disjoining pressure and surface tension. These forces form the fluid layer into an array of discrete droplets separated by an ultra thin layer. However, the droplet array is unstable, and the droplets will interact with one another. To determine the structure and properties of steady droplets, we use the Reynolds’ PDE in one dimension and phase-plane methods. We can then analyze the unstable droplet system by utilizing paired ODEs. Numerical solutions show how the droplets interact to produce movement and mass exchange, giving rise to coarsening events which reduce the number of droplets in the system. These events occur when a droplet collapses into the ultra thin layer or when two droplets collide, and thus, merge. Using numerical simulations and analysis of their results, we aim to gain a better understanding of the dynamics of this system including the factors that influence coarsening events such as system parameters and initial conditions.
Type
Honors thesis
Department
Mathematics
Subject
Coarsening
Droplets
Permalink
https://hdl.handle.net/10161/2258
Citation
Semko, Jeremy (2010). Statistical Analysis of Simulations of Coarsening Droplets Coating a Hydrophobic Surface. Honors thesis, Duke University. Retrieved from https://hdl.handle.net/10161/2258.
Collections
  • Undergraduate Honors Theses and Student papers
More Info
Show full item record
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 United States License.

Rights for Collection: Undergraduate Honors Theses and Student papers


Works are deposited here by their authors, and represent their research and opinions, not that of Duke University. Some materials and descriptions may include offensive content. More info

Make Your Work Available Here

How to Deposit

Browse

All of DukeSpaceCommunities & CollectionsAuthorsTitlesTypesBy Issue DateDepartmentsAffiliations of Duke Author(s)SubjectsBy Submit DateThis CollectionAuthorsTitlesTypesBy Issue DateDepartmentsAffiliations of Duke Author(s)SubjectsBy Submit Date

My Account

LoginRegister

Statistics

View Usage Statistics
Duke University Libraries

Contact Us

411 Chapel Drive
Durham, NC 27708
(919) 660-5870
Perkins Library Service Desk

Digital Repositories at Duke

  • Report a problem with the repositories
  • About digital repositories at Duke
  • Accessibility Policy
  • Deaccession and DMCA Takedown Policy

TwitterFacebookYouTubeFlickrInstagramBlogs

Sign Up for Our Newsletter
  • Re-use & Attribution / Privacy
  • Harmful Language Statement
  • Support the Libraries
Duke University