Abstract
An approximate relation between the Lagrangian auto-correlation coefficient of the velocity of a fluid particle and the Eulerian velocity correlation in a field of stationary homogeneous turbulence has been pro-posed by Corrsin2). The relation is used here to derive an integro-differential equation for the Lagrangian auto-correlation, and to calculate it for a particular form of the Eulerian correlation. It is found that the time scale of the Lagrangian auto-correlation is Open image in new window , whereL p is the longitudinal integral scale of the turbulence and Open image in new window is the root-mean-square component of velocity. It is also found that the Lagrangian auto-correlation decreases algebraically for large times. It is pointed out that the method is not expected to apply to non-stationary turbulence as generated by a grid in a wind tunnel.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
