Changes between Version 10 and Version 11 of ClumpClump/MachStems

Timestamp:

07/10/13 11:02:17 (12 years ago)

Author:

trac

Comment:

—

ClumpClump/MachStems

@@ -72 +72 @@
 $z(r) = -\left[ \frac13\left(\frac{r}{r_j}\right)^3-\frac{r}{r_j}+\frac23\right]\frac{v_s}{\beta c_s} r_j$
 }}}
-where z(r) is the axial distance upstream from the terminal bow shock as a function of radial distance ''r'', ''r_j'' is the jet radius, ''v_s'' the bow shock velocity [[latex(($v_s=\frac{v_j}{1+\chi^{-1/2}})$)]], ''beta'' a factor of roughly 4 based on simulations, and ''c_s'' the preshock sound speed.
+where z(r) is the axial distance upstream from the terminal bow shock as a function of radial distance ''r'', ''r_j'' is the jet radius, ''v_s'' the bow shock velocity [[latex($($v_s=\frac{v_j}{1+\chi^{-1/2}})$$)]], ''beta'' a factor of roughly 4 based on simulations, and ''c_s'' the preshock sound speed.
 
 For typical parameters ''(todo:list)'', the incident angle is 90^o^ at r=1 and decreases rapidly, achieving 45^o^ at r~1.107, 30^o^ at r~1.18, 15^o^ at r~1.36, and 5^o^ at r~1.89.