Graduation Year
2011
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Rachel Levy
Reader 2
Andrew J. Bernoff
Terms of Use & License Information
Rights Information
© 2011 Jeffrey Wong
Abstract
Thin liquid films driven by surface tension gradients are studied in diverse applications, including the spreading of a droplet and fluid flow in the lung. The nonlinear partial differential equations that govern thin films are difficult to solve analytically, and must be approached through numerical simulations. We describe the development of a numerical solver designed to solve a variety of thin film problems in two dimensions. Validation of the solver includes grid refinement studies and comparison to previous results for thin film problems. In addition, we apply the solver to a model of surfactant spreading and make comparisons with theoretical and experimental results.
Recommended Citation
Wong, Jeffrey, "Simulations of Surfactant Spreading" (2011). HMC Senior Theses. 1.
https://scholarship.claremont.edu/hmc_theses/1
