Check this
Keeping Fish page for an interesting idea of non-contact pH measurements.
My take is that it is all about CO
2 equilibrium, that the answer time is slow, and that it will work only if both solutions have exactly the same composition.
Still, well planned experiment could be interesting - something like both solutions with the same indicator - both have the same color. Now we saturate external solution with CO
2 (perhaps in a closed tank, so that CO
2 won't run away), external solution changes color first, then inner tube changes color in an hour or few. I can't do that by myself here, but if anybody is looking for some fresh experimental idea - here it is