Development of a unified heuristic model of Fluid turbulence
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Authors
Pritchett, John W.
Gawain, Theodore Henry
Subjects
Fluid turbulence
scale of turbulence
Eddy viscosity
turbulent jet
turbulent flow
Poiseuille flow
spectrum of turbulence
correlation function
mixing length
turbulent dissipation
turbulent diffusion
turbulent energy
Reynolds stresses.
scale of turbulence
Eddy viscosity
turbulent jet
turbulent flow
Poiseuille flow
spectrum of turbulence
correlation function
mixing length
turbulent dissipation
turbulent diffusion
turbulent energy
Reynolds stresses.
Advisors
Date of Issue
1971-02
Date
1971-02
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
A unified heuristic model of fluid turbulence is proposed which supplements the basic equations of motion and continuity so as to define determinate solutions under a wide variety of conditions. A single set of equations applies to all cases. Only the boundary conditions change for each application. The Reynolds stresses are related to the mean flow heuristically, through an eddy viscosity. This also involves the turbulent energy, which is analyzed with the aid of empirical expressions for dissipation and diffusion. A characteristic local length scale is introduced, based on a generalization of von Karmon's mixing length. The model is illustrated by application to a channel and a jet. Agreement with experiment is noted. The report also includes an original analysis of the stress/strain rate relation. (Author)
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-57GN71021A
Sponsors
This task was supported by: Advanced Research Project Agency,
Order No. 961, Program Code 7F40, Task 5,
and Naval Ship Systems Command,
Program SR 1040301.
Funder
Format
119 p. : ill. ; 28 cm.
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.