Abstract
The assumption of scale-invariance, when taken in conjunction with the symmetries of the Navier–Stokes equation, is shown to lead to the energy spectrum E(k) = αε2/3Tk−5/3, in the limit of infinite Reynolds number. Here εT is the flux of energy due to inertial transfer, while the prefactor α is determined by an integral over triple correlations of the phases of the system. It is argued that this form of the prefactor provides an answer to the Landau–Kraichnan criticism of the original Kolmogorov (1941) theory (K41).
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 callMore From: Journal of Physics A: Mathematical and Theoretical
Disclaimer: 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.
