Generalized transport equation
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Generalized transport equation Reynolds decomposition: Define “macroscopic”, bulk velocity u=<v> Then v=u+c Where c is fluctuation of velocity. Note: <c>=0, <v>=<u+c>
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Generalized transport equation. Reynolds decomposition: Define “macroscopic”, bulk velocity u= Then v= u+c Where c is fluctuation of velocity. Note: =0, =< u+c >. Multi-fluid equations. - PowerPoint PPT Presentation
Transcript of Generalized transport equation
Generalized transport equation
Reynolds decomposition:
Define “macroscopic”, bulk velocity u=<v>Then v=u+cWhere c is fluctuation of velocity.
Note: <c>=0, <v>=<u+c>
Multi-fluid equations
Continuity equation
Momentum equation
Energy equation
Heat flux
Pressure tensor
Scalar pressure
Energy density
After substituting Χ’s into the generalized transport equation and some work we get the multi-fluid equations for particle type a:
Where:
