The spectrum of energy in turbulent shear flow
Date
1970-09
Authors
Kesic, Dragoljub Mile, author
Cermak, J. E. (Jack E.), author
Panchev, S. (Stoicho), 1933-, author
Fluid Dynamics and Diffusion Laboratory, College of Engineering, Colorado State University, publisher
Journal Title
Journal ISSN
Volume Title
Abstract
The spectrum of energy in isothermal turbulent shear flow at large wave numbers is studied following the phenomenological approach used by Tchen (1953), Hinze (1959), and Panchev (1968, 1969). The considered spectrum equation consists of the dissipation, the transfer, the production, and the diffusion spectrum function. Parametric solutions for the three-dimensional energy spectrum function, E(k) are obtained firstly by using Heisenberg's type of approximations for the transfer function. Much simpler solutions for E(k) are obtained with the modified Obukhov approximation (Ellison 1962). Some closed form solutions for E(k) are derived by using a vorticity approximation concept. It is shown that Tchen's k-l law cannot exist if diffusional effects are taken into account. Computed one - dimensional energy spectra (isotropic relations were used) show good agreement with measurements from the viscous region of a turbulent boundary layer.
Description
CER69-70DMK-JEC-SP9.
September 1970.
Includes bibliographical references (pages 73-74).
Prepared for the Office of Naval Research, U.S. Department of Defense, project no. NR 062-414/6-6-68, code 438.
September 1970.
Includes bibliographical references (pages 73-74).
Prepared for the Office of Naval Research, U.S. Department of Defense, project no. NR 062-414/6-6-68, code 438.
Rights Access
Subject
Shear flow
Turbulence