|
|
|
|
|
|
|
|
|
|
|
- Problem:
coupled system i.e v depends on T
|
|
|
and T depends on v
|
|
|
- Analytic:
|
|
|
-linearize equation
|
|
-see if infinitesimal
disturbance gets amplified
|
|
|
=> critical
value for Ra ~ 600, independent of Pr
|
|
|
- first instablities have a roll
pattern
|
|
|
- other patterns
also exist like: square patter, hexagon pattern, cross-
|
|
|
roll pattern ...
|
|
|
- no extrema
principal
|
|
|
|