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On the Statistical Theory of Turbulence


Chuang, Feng-Kan (1950) On the Statistical Theory of Turbulence. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2TJM-BK44.


The present work starts with a study of isotropic turbulence which was introduced by G. I. Taylor in 1935. The different notions of averages are critically examined. The notion of stochastic average is then introduced and the general transport equation is developed. After a detailed study of kinematics of turbulence, the concept of correlation and spectrum, the correspondence between the Karman-Howarth equation and the spectrum equation is made. The turbulence decay is studied. A theory for turbulence decay at large Reynolds number is proposed. In the study of turbulence spectrum, different assumptions on the transfer function are critically discussed and the solution using Heisenberg's assumption is obtained explicitly. The spectrum is further studied by trying to fit the turbulence phenomenon into a general scheme of stochastic processes. In the second part of the work, an entirely different approach to the statistical theory is made. Linearized vorticity transport theory is developed and finally the non-linear effects in turbulence are studied.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Aeronautics and Mathematics)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Minor Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Liepmann, Hans Wolfgang
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1950
Additional Information:Author's name on thesis appears as Feng-Kan Chuang. Pinyin transliteration of author's name is Fenggan Zhuang
Record Number:CaltechETD:etd-10302003-154021
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4323
Deposited By: Imported from ETD-db
Deposited On:06 Nov 2003
Last Modified:11 Apr 2023 00:12

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PDF (Chuang_fk_1950.pdf) - Final Version
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