Studies of Von Karman's Similarity Theory and Its Extension to Compressible Flows. A Critical Examination of Similarity Theory For Incompressible Flows
Abstract
The classical theories for turbulent shear flow are the momentum transfer theory of Prandtl, the vorticity transfer theory of Taylor, and the similarity theory of Von Karman. The two transfer theories both involve a mixture length, which must be given by an additional assumption. On the other hand, the similarity theory is a more determinate scheme, because it makes a more definite hypothesis about the nature of the turbulent fluctuations. Goldstein, however, introduced an alternative form of the similarity theory. A great amount of work has been done to evaluate the relative merits of these three theories. Further investigation into the nature of turbulent motion is, however, done largely in connection with the simpler case of isotropic turbulence. In this field, much recent progress has been made, particularly following the concept of Kolmogoroff. The concept of similarity also plays a dominant role. Since Kolmogoroff's theory is also applicable to shear flow, it is natural that one should reexamine the similarity theory of Von Karman by using modern concepts. This is the main purpose of the present investigation. It is found that the original form of the theory is supported by modern concepts.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1951
- Accession Number
- ADA380505
Entities
People
- C. C. Lin
- S. F. Shen
Organizations
- Massachusetts Institute of Technology