Changes between Version 34 and Version 35 of CollidingFlows

Timestamp:

12/15/11 14:31:05 (13 years ago)

Author:

Jonathan

Comment:

—

CollidingFlows

@@ -184 +184 @@
 
 
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 Also looked at 2D PDFs of Density and Pressure as well as Density vs Mixing (Upper left and lower right are mass weighted, while lower left and upper right are volume weighted)
 
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 [[CollapsibleEnd()]]
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+== Embedding clumps ==
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+Also looked at embedding clumps in flows that are in pressure equilibrium.  Here the flow density sets the clump density and the clump density contrast.  For a flow density of 1 part/cc the clumps have to be at 132 part/cc.  For a flow density of 3 part/cc the contrast is around 10 so the clumps will be at 30 part/cc.
+[[Image(eq_constrast.png, width=400)]]
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+Given the clump density we can calculate the jeans length for the clumps which effectively sets their maximum gravitational stable size.  For a density of 1 part/cc this gives a jeans length of about 11 pc.  Setting the clump radius to be < .1 Jeans length ensures that the clumps won't collapse. 
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+[[Image(eq_jeans_length.png, width=400)]]
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+And finally the desired mean density of the flow sets the filling fraction of clumps.  For example for a flow density of 1 part/cc, a filling fraction of 2% will yield a mean flow density of 3.6.  
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+[[Image(mean_eq_density.png, width=400)]]
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+First run was an flow density of 1 which gives a clump density of 132 and a clump jeans length of about 11 pc.  The radius was set to .1 jeans length so the clumps have a radius of 1 pc.  And the mean density was set to 3 part/cc so the filling fraction is ~ 2%
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+||  IX  ||
+||  [[Image(clumpyflow100.png, width=400)]]  ||
+||  [attachment:clumpyflow100.gif movie]  ||
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+Next we increased the mean density to 3 part/cc so that the density contrast would be 10 instead of ~100.  However the mean density had to be increased to 5 to get a reasonable filling fraction of 5%
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+||  X  ||
+||  [[Image(clumpflow10.png, width=400)]]  ||
+||  [attachment:clumpyflow10.gif movie]  ||
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 == Extending to 3D ==