The Enhanced Diffusion of a Transversely Uniform Passive Scalar Quantity in Taylor Pipe Flow Public Deposited

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Last Modified
  • March 22, 2019
Creator
  • Nelson, Thomas Michael
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • The term Taylor dispersion describes the work and a series of papers written by Geoffrey Taylor in 1953 and 1954. These papers describe how a soluble substance spreads out when introduced to a fluid flowing slowly through a pipe. This fluid spreads out under the combined action of molecular diffusion and a shear flow. In 2009, Camassa, Lin, and McLaughlin considered the same problem as a pair of stochastic differential equations subject to unbounded and bounded Brownian motion. They derived an analytical solution, which provides an exact approach to the scalar variance evolution valid for all times. It is effective for channel and pipe flow for the case of vanishing Neumann boundary conditions. The aim of this project is to use Monte-Carlo simulations and experimental data to verify the analytic solution to the enhanced diffusion of a transversely uniform, passive scalar quantity in a pipe due to an underlying flow.
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  • In Copyright
Advisor
  • McLaughlin, Richard
Degree
  • Master of Science
Degree granting institution
  • University of North Carolina at Chapel Hill
Graduation year
  • 2013
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