- Research Article
- 10.1175/jcli-d-25-0560.1
A Theory of Seasonally Varying Axisymmetric Hadley Circulations including Vertical Momentum Advection
- May 15, 2026
- Journal of Climate
- Ryan Eusebi + 1 more +1
Abstract Classical theories for axisymmetric, nearly inviscid Hadley circulations typically neglect processes such as vertical momentum advection to obtain analytical solutions. Using simple 1.5- and 2-layer axisymmetric inviscid models, we clarify the relative significance of these processes, with particular focus on seasonally varying dry Hadley cells. We show that vertical momentum advection strongly modifies the strength, extent, and seasonal response of the circulation. Including nonzero surface zonal winds in a two-layer model only produces a negligible weakening of the solstitial circulation. Building on these results, we introduce a semianalytical theory for the meridional structure of dry, nearly inviscid Hadley cells that explicitly incorporates vertical momentum advection. This theory accurately explains the strength and extent of seasonally varying Hadley circulations simulated in axisymmetric GCMs. Importantly, the theory shows that axisymmetric Hadley circulations do not undergo the rapid nonlinear strengthening with seasonality predicted by earlier models. Meridional variations in gross stability observed in the simulations can, in principle, lead to deviations from the theory. We explain the cause of these variations and show that their impact is limited: While the mass transport streamfunction is very sensitive to these variations, the heat transport profile, along with the meridional profiles of zonal wind and temperature, remains relatively invariant due to angular momentum constraints. Finally, we assess the influence of vertical momentum diffusion on the axisymmetric GCM simulations and discuss implications for eddying and moist atmospheres, as well as for regime transitions of the Hadley circulation and connections to monsoons.
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