Vorticity, divergence, and vertical velocity in a baroclinic boundary layer with a linear variation of the geostrophic wind
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The Ekman-Taylor problem for the planetary boundary layer is solved in the case of a thermal wind which varies linearly with height. The upper boundary condition is a vanishing ageostrophic wind, while the lower boundary condition is continuity of the stress vector across the interface between the planetary boundary layer and the surface layer. The latter condition is used to determine the magnitude and the direction of the wind at the bottom of the Ekman layer.
Theoretical hodographs are compared with observed hodographs based on five years of ohservations from Ship N in the Pacific, giving fair agreement.
The divergence, the vorticity, and the vertical velocity are calculated through the Ekman layer with emphasis on differences between the classical barotropic and the baroclinic cases; these differences are significant, especially in the vertical velocities as compared to the standard approximation.
An extension of the present study to include thermal stratification is desirable.
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- Blackadar, A. K.: 1962, ‘The Vertical Distribution of Wind and Turbulent Exchange in a Neutral Atmosphere’,J. Geophys. Res. 67, 3095–3102.Google Scholar
- Charney, J. and Eliassen, A.: 1949, ‘A Numerical Method for Predicting the Perturbations of the Middle Latitude Westerlies’,Tellus 1, 38–54.Google Scholar
- Deardorff, J. W.: 1972, ‘Parameterization of the Planetary Boundary Layer for Use in General Circulation Models’,Mon. Weather Rev. 100, 93–106.Google Scholar
- Godske, K. C.et al.: 1957,Dynamic Meteorology and Weather Forecasting, Amer. Meteorol. Soc., Boston, 800 pp.Google Scholar
- Haltiner, G. J. and Martin, F. L.: 1957,Dynamical and Physical Meteorology, McGraw-Hill Book Co., New York, 470 pp.Google Scholar
- Lettau, H. H. and Dabberdt, W. F.: 1970, ‘Variangular Wind Spirals’,Boundary-Layer Meteorol. 1, 64–79.Google Scholar
- MacKay, K. P.: 1971 ‘Steady State Hodographs in a Baroclinic Boundary Layer’,Boundary-Layer Meteorol. 2, 161–168.Google Scholar
- Mahrt, L. J. and Schwerdtfeger, W.: 1970, ‘Ekman Spirals for Exponential Thermal Wind’,Bounabry-Layer Meteorol. 1, 137–145.Google Scholar
- Mendenhall, B. R.: 1967, ‘A Statistical Study of the Frictional Wind Veering in the Planetary Boundary Layer’, Atmos. Sci. Paper No. 116, Colorado State University, Fort Collins, 57 pp.Google Scholar
- Petterssen, S.: 1956,Weather Analysis and Forecasting,1, McGraw-Hill Book Co., New York, 428 pp.Google Scholar
- Sheppard, P. A.: 1958, ‘Transfer Across the Earth's Surface and Through the Air Above’,Quart. J. Roy. Meteorol. Soc. 84, 205–229.Google Scholar
- Taylor, G. I.: 1915, ‘Eddy Motion in the Atmosphere’,Phil. Trans. Roy. Soc. London A,215, 1–26.Google Scholar
- Taylor, G. I.: 1916, ‘Skin Friction of the Wind on the Earth's Surface’,Proc. Roy. Soc. London A,92, 196–199.Google Scholar