If the other components of your liquid are not too volatile, an option is to reduce the pressure. Bubbles grow then and raise quickly to the surface where they explode. It works nicely with silicone glues, rubbers and oils.
Hydraulic fluids have additives to help remove bubbles and foam more quickly. I've forgotten how these operate.
I'd try to bring all the liquid volume close to a free surface. This objective is very similar to a two-phase reactor, but you'd like a quiet process to avoid more bubbles. Slowly rotating disks might be an option, similar ot the sketch there (the text is a not related topic)
http://www.chemicalforums.com/index.php?topic=56452.0Or maybe... Ca you mix a thin fluid (a solvent?) with your liquid so the bubbles get quickly out, then separate your product from the thinner?
Centrifuge your product, so bubbles buoy more quicky? I'd keep a small liquid thickness.
Process your product so that bubbles don't get in? Operate under vacuum if any possible, or only in vessels completely filled with liquids, or under a cap of a lighter unmiscible liquid?
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http://en.wikipedia.org/wiki/Deaeratorprobably not what you want: only prior to boiling there.