Page 204 - Process Modelling and Simulation With Finite Element Methods

Simulation and Nonlinear Dynamics 191

Variation of convective flux

1.045
1.04
1.035
5 1.03
a
5 1.025
C
c 1.02
rn
.-
2 1.015
P
a 1.01
1.005
1
0.995
1925 1930 1935 1340 1945 1950 1955 1960 1965 1970 1975
Nusselt number
Figure 5.4 Convective flux variation for aspect ratio 1.3 over a range of Rayleigh numbers.

Critical mode: Surface:T; Contour: velocity field (U-ns); Ra=l709 10.~
1
09
08

07
06
05

04
03
02

01
0 A
-4 -2 0 2 4 6
Figure 5.5 Eigenvector (temperature and U-ns) for aspect ratio 1:lO at critical Ra=1709 for near
zero eigenvalue.