Changes between Version 9 and Version 10 of ShockedClumps

Timestamp:

05/19/11 10:49:30 (14 years ago)

Author:

Jonathan

Comment:

—

ShockedClumps

@@ -1 +1 @@
 = Shocked Clumps =
-Run Params
-
-|| v,,wind,, (km/s) || chi || final time ||  T_bow || T_trans ||
-|| 50  ||  10  || 568.9 yr || 
-|| 100 ||  10  || 248.4 yr ||
-|| 200 ||  10  || 142.2 yr ||
-|| 400 ||  10  || 71.1 yr  ||
-|| 800 ||  10  || 35.6 yr  ||
-|| 200 ||  100 || 142.2 yr ||
-
-T_bow calculated as [[latex($T=\frac{3 X v_{wind}^2}{16 k_b}$)]]
-
-
 Common params
 || n,,amb,, || 250 cc^-1^ ||
 || T,,amb,, || 100 K ||
 || R,,clump,, || 100 AU ||
+
+
+Run Params
+
+|| Run || v,,wind,, (km/s) || chi || final time (yr) ||  T,,bow,, (K)|| T,,trans,, (K)|| L,,bow,, (R,,c,,) || L,,trans,, (R,,c,,) ||
+|| A || 50  ||  10  || 568.9 yr || 5.64e+04 || 5.64e+03 || 2.51e-01 || 9.62e+00 ||
+|| B || 100 ||  10  || 248.4 yr || || || || ||
+|| C || 200 ||  10  || 142.2 yr || || || || ||
+|| D || 400 ||  10  || 71.1 yr  || 3.61e+06 || 3.61e+05 || 2.60e+03 || 3.71e-01 ||
+|| E || 800 ||  10  || 35.6 yr  || 1.44e+07 || 1.44e+06 || 2.02e+04 || 5.31e+01 ||
+|| F || 200 ||  100 || 142.2 yr || 9.02e+05 || 9.02e+04 || 9.90e+01 || 1.74e+00 ||
+
+
+[[latex($T_{bow}=\frac{3 X v_{wind}^2}{16 k_b}$)]]
+
+[[latex($T_{trans}=T_{bow}/\chi$)]]
+
+
+A naive calculation of L,,shock,, using the instantaneous cooling rate at T,,shock,, would implies that run A is bow only, run D is trans only, run E is neither, and that run F is marginally trans only.  However, consider the following figure where we have plotted the cooling lengths in units of clump radius as a function of wind velocity for the bow shock as well as for the transmitted shocks with [[latex($\chi$)]] = 10 & 100
+
+
+
 
 || ||  50 10 (bow only)  ||  400 10 (clump only)  ||  800 10 (neither)  ||  200 100 (both)  ||