Shocked Clumps

Common params

namb	250 cc-1
Tamb	100 K
Rclump	100 AU

Run Params

Run	vwind (km/s)	chi	final time (yr)	Tbow (K)	Ttrans (K)	Lbow (Rc)	Ltrans (Rc)
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

T_{bow}=\frac{3 X v_{wind}^2}{16 k_b}

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 \chi = 10 & 100

	50 10 (bow only)	400 10 (clump only)	800 10 (neither)	200 100 (both)
	movie​	movie​ zoom​	movie​	movie​ zoom​
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