Constraints on dynamical transports of energy on a spherical planet

Mathematics

Scientific paper

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Air Water Interactions, Energy Transfer, Heat Flux, Atmospheric Heat Budget, Atmospheric Models, Latitude, Ocean Models, Series (Mathematics), Solar Radiation, Thermodynamics, Transport Properties

Scientific paper

A study is made of the dynamic transport of energy across a latitude belt in the atmosphere-ocean system. The study is based on comparing various approximations, the observed flux, and a one-dimensional heat-balance equation. It is found that when the hemisphere is in equilibrium and when the planetary scale dominates the structure of the atmosphere-ocean system, (1) the total meridional flux of energy is constrained to peak near 35-deg latitude, (2) the flux per unit area is constrained to peak near 45-deg latitude, and (3) the magnitude of the flux is a function of the solar constant, the earth's radius, the tilt of the earth's axis, and the hemisphere mean albedo. The results explain why eddy activity peaks near 45-deg latitude and why total flux appears to be insensitive to the hydrological cycle and the presence of oceans and mountains.

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