Neil Fraser was curious about this question, so he built a centrifuge at home and recorded a lava lamp at 3G (which is higher than Jupiter, actually). He explains the details here.
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One of the worst teaching tools physicists use (and they almost all do it) is to tell students,
There's no such thing as centrifugal force.
It's odd that I have talked about these forces so much.
It's odd that I have talked about these forces so much.
A student in my office temporarily confused the words centripetal and centrifugal. This started me thinking about these two words. They mean different things, but do sound and look similar.
It must be a lot more fun to be a mad inventor nowadays when you can show the result of your wierd experiments on youtube and get an audience :-)
Niel should send this to the Mechano folks (since it looks like a mechano set was used. Seriously it does suggest that the density contrast in the Lava lamp is to large to work as well at 3 g as one g. Which is not surprising, given the greater forces involved. Clearly one could build a lava lamp for Jupiter, but might want to pick materials where the force difference was more equivalent to the difference in forces on the earth. This does suggest that if one went up much further in G forces the lamp would cease to work as the materials permanently stratify after the heat reaches equilibrium.