Abstract: A gyroscopic roll stabilizer for a boat includes a cavity for liquid heat transfer medium that helps transfer heat from a flywheel shaft to a heat transfer shaft assembly that extends into the cavity. The cavity includes a first portion that overlaps the heat transfer shaft assembly and a reservoir portion that does not, with the second portion acting as a reservoir for the liquid heat transfer medium. The wall of the cavity is shaped such that the first portion is wider than the second portion. When the flywheel is rotating five thousand rpm or more, liquid heat transfer medium in the reservoir is displaced upward into the first portion, and a gas pocket that is present in the first portion when the flywheel is not rotating is displaced into the reservoir, thereby providing better heat transfer when the flywheel is spinning rapidly. Related methods are also disclosed.