"A general method is presented for analyzing turbulent flow fields in the near wake regions of two-dimensional and axisymmetric bodies. The governing partial differential equations of continuity, momentum and turbulence kinetic energy are expressed in elliptic form in terms of the dependent variables stream function, vorticity and turbulence kinetic energy. An iterative finite-difference technique is used to solve the governing equations simultaneously. Numerical solutions are obtained for the following physical problems: 1. Laminar near wake: Only stream function and vorticity are considered for laminar flow. Solutions are compared with available analytical results for uniform flow over a sphere. 2. Turbulent near wake: Predicted distributions of stream function, vorticity, mean velocity, mean static pressure and turbulence kinetic energy are obtained for two-dimensional and axisymmetric turbulent wakes. Comparisons are made with experimental data for the two-dimensional turbulent wake of a wedge and for the axisymmetric turbulent wake of a spheroid. Solutions are obtained by two methods. The first method uses experimental data to determine effective viscosity distributions. Simultaneous solutions for stream function and vorticity are obtained in terms of the known effective viscosity, and the turbulence kinetic energy equation is solved as an auxiliary equation. Empirical models are developed to describe various terms in the turbulence kinetic energy equation. The second method assumes that initial distributions of effective viscosity are not available. The turbulence kinetic energy equation is solved simultaneously with the equations for stream function and vorticity. An additional empirical model is developed to close the system of equations. Both methods are used to construct energy balances for turbulence kinetic energy. Comparisons are made with far wake experimental energy balances. The primary advantage of the turbulence kinetic energy approach is its ability to consider the "history" of turbulence in a given flow field. A systematic development of this approach with the assistance of detailed turbulence measurements offers the promise of eventually leading to more realistic solutions of free turbulent mixing problems for engineering applications"--Abstract, pages ii-iii.
Lee, S. C.
Oetting, R. B.
Rhea, L. G.
Howell, Ronald H. (Ronald Hunter), 1935-
Ho, C. Y. (Chung You), 1933-1988
Mechanical and Aerospace Engineering
Ph. D. in Mechanical Engineering
United States. Department of Defense
National Center for Atmospheric Research (U.S.)
University of Missouri--Rolla
xiii, 105 pages
© 1971 James Edward Auiler, All rights reserved.
Dissertation - Open Access
Turbulence -- Mathematical models
Turbulent boundary layer
Wakes (Fluid dynamics)
Kinetic theory of matter
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Auiler, James Edward, "Use of the turbulence kinetic energy equation in analyzing turbulent near wakes" (1971). Doctoral Dissertations. 1837.