Changes between Version 2 and Version 3 of u/zchen/2/Isothermalwind

Timestamp:

02/23/14 20:34:08 (11 years ago)

Author:

Zhuo Chen

Comment:

—

u/zchen/2/Isothermalwind

@@ -24 +24 @@
 
 $(1-g'(r_c,v_c))v_c^2-a^2=0$
+
+Different wind initial speed, $f(r,v)$ and $g{r,v}$ will give very different $v$ profile. One of these solution is: subsonic initial wind accelerate all the way to the critical point and become supersonic when at very large $r$. $\frac{2a^2}{r_0}-\frac{GM}{r_0^2}+f'(r_0,v_0)>0$ and $(1-g'(r_0,v_0))v_0^2-a^2>0$
+
+Where $r_0,v_0$ are initial radius and velocity.