Hello Everyone!!
I hope everyone doing well.
While i was studying Phenomenology and Turbulence Scaling , total energy in the system for the largest eddies was approximated to U^2/2. Where U is the Rotational velocity of largest eddies.
I ddint find how or on what basis Spectral energy was approximated to U^2/2 ?
let me know if anybody has an idea about it.
appreciated in-advance for your perspective on this.
Thank you
what textbook are you using? U^2/2 is the kinetic energy associated to the lenght scale L, is in physical space.
In spectral space you look for the content of the spectral energy density at the wavenumber corresponding at the lenght L.
U represents Rotational velocity can be dimension m/s. and U^2/2 can be expressed as m^2/s^2. This can be compared with Joule/kg.
While Jule is Nm=(kgm/s2)m
By this manner you can express total energy /kg of flow as U^2/2
in Energy equation and N_S equations.
Gamal B. Abdelaziz Sir, Thank you so much for your enlightenment on above query. Your answer is convincing. ill try to explore more on your suggestion.
Thank you.
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