Hadley cells in planetary atmospheres without a condensible component

Physics

Scientific paper

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3314 Convective Processes, 3346 Planetary Meteorology (5445, 5739), 3359 Radiative Processes, 3367 Theoretical Modeling, 5405 Atmospheres (0343, 1060)

Scientific paper

A key goal for theories of planetary atmospheres is to predict features of the circulation purely on the basis of planetary parameters observable from Earth. Tropical overturning circulations or Hadley cells play an important role in the general circulation of any atmosphere. Here, we extend and generalise previous work to provide a complete theory for the axially-symmetric Hadley cell in compressible, radiative-convective atmospheres under the simplifying assumptions that radiation is semi-gray and that the atmosphere contains no condensible component. The theory is analytically tractable and provides both tropopause height and Hadley cell width as a function of planetary parameters. The relevant parameters turn out to be radius, rotation rate, insolation, infrared optical depth and spectral bandwidth, and the ratio of gas constant to heat capacity. The theory converges to the classic result of Held and Hou in the Boussinesq limit, when tropopause height ∥ scale height.

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