[cig-commits] commit 2316 by bangerth to /var/svn/dealii/aspect

[dealii.demon at gmail.com]

Revision 2316

A bit more.

U   trunk/aspect/doc/manual/manual.tex
U   trunk/aspect/doc/manual.pdf


http://www.dealii.org/websvn/revision.php?repname=Aspect+Repository&path=%2F&rev=2316&peg=2316

Diff:
Modified: trunk/aspect/doc/manual/manual.tex
===================================================================
--- trunk/aspect/doc/manual/manual.tex	2014-02-20 22:51:57 UTC (rev 2315)
+++ trunk/aspect/doc/manual/manual.tex	2014-02-21 23:42:11 UTC (rev 2316)
@@ -4419,7 +4419,20 @@
 temperature increase a volume of material would experience if it were to be
 transported adiabatically from the surface to the core-mantle boundary. This
 difference is much smaller than 3300 K in reality, and we can expect convection
-to be significantly less vigorous than in the simulation here.
+to be significantly less vigorous than in the simulation here. Indeed, using
+the values in the input file shown above, we can compute the Rayleigh number for
+the current case to be%
+ootnote{Note that the density in 2d has units $	ext{kg}\,	ext{m}^{-2}$}
+$$
+  	extrm{Ra}
+  =
+  rac{g\; eta \; \Delta T \; 
ho \; L^3}{lpha\eta}
+  pprox
+  rac{10 	ext{m}\,	ext{s}^{-2} \; 4