Changes between Version 2 and Version 3 of u/johannjc/scratchpad22

Timestamp:

01/12/17 12:40:59 (8 years ago)

Author:

Jonathan

Comment:

—

u/johannjc/scratchpad22

@@ -1 +1 @@
 == Scaling ==
-
 
 The equations in physical units look like
@@ -18 +17 @@
 where $N_s$ and $L_s$ are the number density and length scales in the code.
 
-This gives $\sigma_c = \sigma N_s L_s$
+This gives 
+
+$\sigma_c = \sigma N_s L_s$
 
 And dividing the second equation by the first, gives
@@ -24 +25 @@
 $N_s/T_s = N_s \frac{1}{N_s L_s} \frac{F}{F_c}$
 
-which gives $F_c=F \frac{T_s}{L_s N_s}$
+which gives 
+
+$F_c=F \frac{T_s}{L_s N_s}$
 
 
@@ -42 +45 @@
 embedded in a lower density pressure balanced ambient with a density ratio 
 
-$\chi=100$
+$\chi=1000$
 
 
 With a cross section for photo-ionization of 6.3e-18 and our clump's column density of 9e18, we would expect the clump to be optically thick
 
-And with a flux of 2e14, we would expect photo-ionization of the column to take 4.5e4 seconds
+And with a flux of 2e13, we would expect photo-ionization of the column to take 5 days or so...