Velocity inertial subrange model: Difference between revisions

From Atomix
m Added the inertial subrange eqn using the variables nomenclature..
Line 5: Line 5:
}}
}}
== Inertial subrange for steady-flows ==
== Inertial subrange for steady-flows ==
<math>\Psi(\hat{k})=a_jC_k\varepsilon^{2/3}\hat{k}^{-5/3}</math>
This theoretical model predicts the spectral shape of velocities in wavenumber space.
<math>\Psi(\hat{k})_{Vj}=a_jC_k\varepsilon^{2/3}\hat{k}^{-5/3}</math>


[[File:InertialSubrange.png]]
[[File:InertialSubrange.png]]

Revision as of 18:48, 11 November 2021


Short definition of Velocity inertial subrange model
The inertial subrange separates the energy-containing production range from the viscous dissipation range.

This is the common definition for Velocity inertial subrange model, but other definitions maybe discussed within the wiki.

Inertial subrange for steady-flows

This theoretical model predicts the spectral shape of velocities in wavenumber space. [math]\displaystyle{ \Psi(\hat{k})_{Vj}=a_jC_k\varepsilon^{2/3}\hat{k}^{-5/3} }[/math]

Inertial subrange for flows influenced by surface waves

Need to add equations and figures from Lumley & Terray