Asymptotic Analysis of Turbulent Channel Flow for Mixing-Length Theory.
Abstract
Limit process expansion techniques are used to analyze fully developed turbulent incompressible flow in an infinitely long channel with plane parallel walls. Closure of the Reynolds time-averaged equations of motion is effected through the introduction of an eddy viscosity linearly proportional to the mean rate of strain, such that the Reynolds stress is quadratic in the mean rate of strain: the closure is a generalization of mixing-length theory. Expansions are carried out in the limit of the turbulent Reynolds number going to infinity, where the turbulent Reynolds number is the ratio of the eddy viscosity to the molecular viscosity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0746112
Entities
People
- Francis E. Fendell
- William B. Bush
Organizations
- Purdue University