Abstract

Although turbulence presents some of the most challenging unsolved problems in theoretical physics and applied mathematics, there are quantities we may hope to be able to bound even when we cannot compute them exactly. In this report we describe some of the ways of doing this within the context of a flow in a shear layer with injection and suction at the boundaries. We obtain bounds on the rate of viscous energy dissipation, valid for turbulent flows as well as for any laminar (steady or unsteady) flows, that may be directly compared to that in an exact solution for a flow with the same boundary conditions.

Full Text
Paper version not known

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 call

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.