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University of North Carolina

1. Bernardi, Francesca. Space/Time Evolution in the Passive Tracer Problem.

Degree: Mathematics, 2018, University of North Carolina

This dissertation is concerned with understanding how the behavior of a concentration of tracer undergoing an advection-diffusion process in Poiseuille flows depends on the pipe cross-section. Solutions to the advection-diffusion problem are approached both for the longitudinal moments of the concentration, via exact and asymptotics analysis, and for the entire tracer concentration, via analysis and experiments. The main focus of this work is on the skewness of the distribution, which is the simplest statistic to describe longitudinal asymmetries in the tracer concentration. The results of exact and asymptotic analysis along with experiments and numerical simulations, show that the distribution’s skewness depends significantly on the cross section of the pipe. Advisors/Committee Members: Bernardi, Francesca, Camassa, Roberto, McLaughlin, Richard, Forest, Gregory, Miller, Laura, Newhall, Katherine.

Subjects/Keywords: College of Arts and Sciences; Department of Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Bernardi, F. (2018). Space/Time Evolution in the Passive Tracer Problem. (Thesis). University of North Carolina. Retrieved from https://cdr.lib.unc.edu/record/uuid:5449c8d0-044c-44a7-ba42-2510b8e50a31

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Bernardi, Francesca. “Space/Time Evolution in the Passive Tracer Problem.” 2018. Thesis, University of North Carolina. Accessed December 05, 2020. https://cdr.lib.unc.edu/record/uuid:5449c8d0-044c-44a7-ba42-2510b8e50a31.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Bernardi, Francesca. “Space/Time Evolution in the Passive Tracer Problem.” 2018. Web. 05 Dec 2020.

Vancouver:

Bernardi F. Space/Time Evolution in the Passive Tracer Problem. [Internet] [Thesis]. University of North Carolina; 2018. [cited 2020 Dec 05]. Available from: https://cdr.lib.unc.edu/record/uuid:5449c8d0-044c-44a7-ba42-2510b8e50a31.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bernardi F. Space/Time Evolution in the Passive Tracer Problem. [Thesis]. University of North Carolina; 2018. Available from: https://cdr.lib.unc.edu/record/uuid:5449c8d0-044c-44a7-ba42-2510b8e50a31

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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