The optimum theory of turbulence
Abstract
The optimum theory of turbulence represents an approach toward the understanding of turbulent flows without the introduction of heuristic assumptions commonly used in other theories of turbulence. The present paper examines the following aspects of the optimum theory: (1) the optimum problem for turbulent Couette flow, (2) multi-alpha solutions, (3) bounds on the transport of momentum, (4) bounds on the transport of mass (including turbulent channel and pipe flows), and (5) bounds on the transport of heat. Emphasis is placed on the model character of the equations, the similarities between the extremalizing solutions, and the structure of the observed turbulence.
- Publication:
-
In: Advances in applied mechanics. Volume 18. (A79-47538 21-34) New York
- Pub Date:
- 1978
- Bibcode:
- 1978aam....18...77B
- Keywords:
-
- Flow Theory;
- Optimization;
- Transport Properties;
- Turbulent Flow;
- Boundary Layer Flow;
- Channel Flow;
- Convective Flow;
- Couette Flow;
- Heat Transfer;
- Mass Transfer;
- Mathematical Models;
- Momentum Transfer;
- Pipe Flow;
- Variational Principles;
- Vector Analysis;
- Fluid Mechanics and Heat Transfer