{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Turbulence lecture 28 - Turbulence Lecture 28 W k called...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Turbulence Lecture 28 ( ) W k called flux of energy through wave number k. Quantities only depend on small scales. Verified experimentally U ( ) ( ) 1 1 u x Ut u t t + + ∆ Hypothesis – small scale motions are statistically independent of the large scale motions provided R A is large enough. Value of R A required needs to be determined empirically. 0 k k ε ± Small scale properties are statistically independent of large scale properties 2 , L u L C. Universal equilibrium (local similarity) if the Re is sufficiently large there is an equilibrium range of wave numbers. A. Responsible for most energy dissipation. B. Statistically steady C. Statistically isotropic D. Statistically independent of energy containing range. What does equilibrium range depend on? 1. On rate of energy removal and feed, which is the same. ( ) ( ) ( ) ( ) 2 2 0 2 2 k k T k dk W k v k E k dk v k E k dk ε = = ² = 2. On the viscosity v – gives peak.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern