Are Defect Profile Similarity Criteria Different Than Velocity Profile Similarity Criteria for the Turbulent Boundary Layer?

Abstract

The use of the defect profile instead of the experimentally observed velocity profile for the search for similarity parameters has become firmly imbedded in the turbulent boundary layer literature. However, a search of the literature reveals that there are no theoretical reasons for this defect profile preference over the more traditional velocity profile. In the report herein, we use the flow governing equation approach to develop similarity criteria for the two profiles. Results show that the derived similarity criteria are identical. Together with previous work that found that defect profile similarity must be accompanied by velocity profile similarity, then ones expectations must be that either profile can be used to search for similarity in experimental datasets. The choice should therefore be dictated by which one works best for experimental investigations, which in this case is the velocity profile.

27 pages including 4 Appendices

References in corpus (1)

• The Prevalence of Similarity of the Turbulent Wall-bounded Velocity Profile

Cited by in corpus (5)

• The Prandtl Plus Scaling Failure and its Remedy
• Does the Outer Region of the Turbulent Boundary Layer Display Similar Behavior?
• The Description and Scaling Behavior for the Inner Region of the Boundary Layer for 2-D Wall-bounded Flows
• Inner/Outer Ratio Similarity Scaling for 2-D Wall-bounded Turbulent Flows
• A Cautionary Note on the Thermal Boundary Layer Similarity Scaling for the Turbulent Boundary Layer