This work evaluates four different forms of Lagrangian velocity correlation coefficient for stationary homogeneous turbulence at very large Reynolds numbers through consideration of simple mathematical and physical requirements. It is shown that some of them do not comply well with the requirements
A new proposal for Lagrangian correlation coefficient
✍ Scribed by N Altınsoy; A.B Tuǧrul
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 116 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0142-727X
No coin nor oath required. For personal study only.
✦ Synopsis
The statistical description of dispersion in turbulent flow was first considered by Taylor (Proc. London Math. Soc. 20 (1921) 196) and the statistical properties of the field were determined by Lagrangian correlation coefficient R L ðsÞ. Frenkiel (Adv. Appl. Mech. 3 (1953) 61) has proposed several simple forms for R L ðsÞ. Some workers have investigated for a proper form of the Lagrangian correlation coefficient. In this work, a new proposal for the Lagrangian correlation coefficient is proposed and discussed. It can be written in general form with the one of the Frenkiel's (Adv. Appl. Mech. 3 (1953) 61) Lagrangian correlation coefficient. There is very satisfactory agreement between the new correlation and the experiment.
📜 SIMILAR VOLUMES
Intuitionistic fuzzy sets are a generalization of the ordinary fuzzy sets in which we have both a membership function and a nonmembership function v. In this article we consider the problem of defining a correlation coefficient between two intuitionistic fuzzy sets. We show that by interpreting an i