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This study examines the dynamical implications of the vertically stacked meridional circulation structure hypothesized for the atmospheres of Uranus and Neptune. The existence of vertically stacked circulation cells was first hypothesized for Jupiter to explain the puzzling observation during Voyager and Galileo missions that Jupiter’s thunderstorms tend to erupt in regions where the atmosphere is expected to have enhanced static stability rather than reduced static stability. Since then, Juno has added a wealth of data, including the deep ammonia distribution, to add further context to this hypothesis. For the Ice Giant planets, a similar hypothesis for vertically stacked circulation was proposed to explain the meridional distribution of methane in the upper troposphere near the 1-bar level, and further hypothesized that Uranus and Neptune may harbor three layers of cells at depth driven by condensations of methane for the top cell, hydrogen sulfide-methane mixture for the middle cell, and ammonia-hydrogen sulfide-methane mixture for the lowest cell. This study examines the dynamical implications of the existence of such vertically stacked cells. Specifically, using the Eulerian Mean framework in the beta-plane, we derive the constraints for the eddy momentum flux, diabatic heating (i.e. latent heat), and eddy heat flux required to balance the vertically stacked circulation. Using these constraints, observable effects will be identified to guide future observations by the upcoming missions to Uranus and Neptune that may test the hypothesized vertically stacked circulation.