Turbulence After a Time-Periodic Change of Observer
Abstract
Objectivity or material frame indifference is the indifference of material behavior to a Euclidean transformation (a general change of observer). This paper considers the objectivity of turbulent fields under a time-periodic change of the observer. At a given phase, the fluctuating velocity and Reynolds stress tensor fields are shown to be objective. This is further illustrated by presenting one-point statistics of two canonical flows: homogeneous isotropic turbulence and turbulent channel flow. The results also highlight that statistical symmetries such as homogeneity and stationarity found in the objective fields are carried over after a change of observer. The paper concludes with some final thoughts on objectivity and its usefulness for the advancement of turbulent theory.
Fields of Study & Subjects
Fluid Dynamics and Turbulent Flows
Fluid dynamics and aerodynamics studies
Rheology and Fluid Dynamics Studies
Publication details
- Journal / source
- Fluids
- Publisher
- MDPI AG
- Volume
- 11
- Issue
- 1
- Pages
- 19–19
- Publication date
- 10 January 2026
- Language
- EN