A core-in-shell heat exchanger, a method of fabricating the core-in-shell heat exchanger, and a method of exchanging heat in a core-in-shell heat exchanger disposed on a slosh-inducing moving platform are described. The method of exchanging heat includes introducing a shell-side fluid into a shell of the core-in-shell heat exchanger and introducing a fluid to be cooled into each of one or more cores of the core-in-shell heat exchanger, the one or more cores being arranged along an axial length of the shell with a plurality of baffles disposed on either side of the one or more cores along the axial length of the shell to reduce slosh of the shell-side fluid. The method also includes draining excess shell-side fluid using a plurality of drains, at least two of the plurality of drains being disposed on opposite sides of one of the plurality of baffles.