Changes between Version 11 and Version 12 of CollidingFlows

Timestamp:

06/30/11 14:06:41 (14 years ago)

Author:

Jonathan

Comment:

—

CollidingFlows

@@ -107 +107 @@
 
 Here we've plotted the cooling time as a function of density and ram pressure (in units of Kelvin/cc)
+
 [[Image(nPCoolingTime.png, width-400)]]
 
 We can then calculate the cooling length of the shock [[latex($L_{cool}=T_{cool} v_{shock}$)]] or the cooling length of the thermal instability [[latex($\lambda_{TI}=T_{cool} c_s \approx L_{cool}$)]] since [[latex($c_s \approx v_{shock}$)]]
 Here are plots of the cooling length as well as the thermal instability length scale.
+
 [[Image(nPCoolingLength.png, width=400)]][[Image(nPTILength.png, width=400)]]
 
 We can also calculate the free fall time for the condensations
 [[latex($t_{ff}=\sqrt{\frac{3 \pi}{32 G \rho}}$)]] as well as the Jeans length [[latex($\lambda_J= c_s\sqrt{\frac{\pi}{G\rho}}$)]] plotted below
+
 [[Image(nPFreeFallTime.png, width=400)]][[Image(nPJeansLength.png, width=400)]]
 
@@ -123 +126 @@
 
 Combining these two time scales gives a clump survivability [[latex($\xi=\frac{t_{cc}}{t_{ff}}$)]]
+
 [[Image(nPTICollapsibility.png)]] which peaks at about .1
 
 Plotting the same quantity in n vs V space we have
+
 [[Image(nVTICollapsibility.png)]]
 we can see that optimal parameters are somewhere around a density of 20 and a velocity of 16 km/s although we still need clumps to survive for ~ 10 cloud crushing times before collapsing...  Of course if the wind turns off then clumps will be able to survive longer and collapse.  It might be better therefore to use finite wind durations...