Title page for ETD etd-11292004-130236


Type of Document Dissertation
Author Chinyoka, Tirivanhu
Author's Email Address tchinyok@vt.edu
URN etd-11292004-130236
Title Numerical Simulation Of Stratified Flows And Droplet Deformation In 2D Shear Flow Of Newtonian And Viscoelastic Fluids
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Renardy, Yuriko Y. Committee Chair
Renardy, Michael J. Committee Co-Chair
Kim, Jong Uhn Committee Member
Lin, Tao Committee Member
Sun, Shu-Ming Committee Member
Keywords
  • stratified/superposed flows
  • viscoelastic fluids
  • newtonian fluids
  • 2d shear flows
  • droplet deformation
Date of Defense 2004-11-15
Availability unrestricted
Abstract
We develop a viscoelastic version of the volume of fluid algorithm for tracking deformable interfaces. The code uses the piecewise linear interface calculation method to reconstruct the interface, the continuous surface force formulation to model interfacial tension forces and utilizes the semi-implicit Stokes solver (enabling computations at low Reynolds numbers). The algorithm is primarily designed to simulate the flow of superposed fluids and the drop in a flow problem in 2D shear flows of viscoelastic and/or Newtonian fluids. The code is validated against linear stability theory for the two-layer flow case and against experimental and other documented numerical investigations for the droplet-matrix case.
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