Numerical Modeling of Stokesian Emulsions
نویسندگان
چکیده
Acknowledgments I am deeply grateful for the patience and understanding of my advisor, Dr. Greg Rodin and I appreciate his friendship. His generous support was essential for completing my studies and his guidance was essential for completing this dissertation. Many thanks to my advisor, Dr. Robert van de Geijn for his encouragement throughout my studies. He has enthusiasm in abundance and he is always willing to share. My appreciation to Patience Henson for proofreading my dissertation and suggesting many improvements and to Dr. Todd Arbogast for his many helpful comments. I thank my friends and colleges, Yuhong Fu and Sergei Krivov, for their contribution. Finally, to my family, thank you for your love and patience throughout the years. The principle objective of this dissertation was to develop a fast solution method for the accurate large scale modeling of fluid dynamics problems involving emulsions. The objective has been achieved by combining boundary element methods with fast iterative solvers based on the fast multipole method. Our solution method required extending the fast multipole method to generalized electrostatics problems to periodic domains. In addition, we developed an efficient hierarchical time stepping scheme and adopted accurate integration schemes, particularly useful in simulation of dense emulsions. Our solution method was implemented on parallel computers and used to model a creaming experiment of an emulsion. vi Table of Contents Acknowledgments v Abstract vi List of Tables x List of Figures xi Chapter 1. Introduction 1 1.
منابع مشابه
Modeling the Rheological Properties of Carboxymethylcellulose Stabilized O/W Emulsions Based on Sunflower Oil and Tallow Fat
The aim of this research was to assess the effect of fat type and concentration as well as the continuous phase viscosity on the rheological properties of an oil-in-water (O/W) emulsion. Thus, sunflower oil and tallow fat were used as the dispersed phase of the emulsion both at 10 and 50% (w/v) and CMC solutions (at 0.1, 0.3 and 0.5% w/v) were acted as the continuous phase. CMC solutions and em...
متن کاملApplication of Rheological Modeling in Food Emulsions
Various scaling methods such as relative viscosity, Peclet and Reynolds scaling were used to find the best scaling law. Scaling and modeling of the flow curves of various model emulsions consist of Tragacanth Gum (TG) (0.5, 1 % wt), Oleic acid (5, 10% v/v) and WPI (2, 4 % wt) were investigated and the best models were selected. As these emulsions are non-Newtonian, they do not obey the usual...
متن کاملStokesian dynamics of close particles
Stokesian dynamics simulations of close particles are reported, taking into account lubrication forces and many-body hydrodynamic interactions between spheres. A periodic trajectory of three particles maintaining a permanent proximity to each other has been found and analyzed. This solution is used as a benchmark to study the accuracy and stability of various numerical integration schemes. In p...
متن کاملPeriodic sedimentation in a Stokesian fluid.
We study the sedimentation of two identical but nonspherical particles sedimenting in a Stokesian fluid. Experiments and numerical simulations reveal periodic orbits wherein the bodies mutually induce an in-phase rotational motion accompanied by periodic modulations of sedimentation speed and separation distance. We term these "tumbling orbits" and find that they appear over a broad range of bo...
متن کامل