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Random advection of a passive scalar


Gleeson, James P. (1999) Random advection of a passive scalar. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1k1x-z678.


A novel functional method is applied to calculate the statistics of a passive scalar in a turbulent velocity field. The method yields asymptotic series expansions for small velocity correlation time, from which approximate closure equations are derived. Analytical and numerical solutions of the equations accurately predict effective diffusivities and give new results for the scalar spectrum. Formulas expressing the Lagrangian correlation of the velocity in the terms of the Eulerian correlation are given.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Applied Mathematics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Saffman, Philip G.
Thesis Committee:
  • Unknown, Unknown
Defense Date:13 May 1999
Record Number:CaltechETD:etd-02062008-095449
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:526
Deposited By: Imported from ETD-db
Deposited On:20 Feb 2008
Last Modified:16 Apr 2021 23:18

Thesis Files

PDF (Gleeson_jp_1999.pdf) - Final Version
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