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A simple model of dry convective helical vortices (with applications to the atmospheric dust devil)
Institution:1. Department of Geophysics, Faculty of Physical and Mathematical Sciences, University of Concepción, Avda. Esteban Iturra s/n, Barrio Universitario, Casilla 160-C, Concepción, Chile;2. A.M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Moscow, Russia;1. Beijing Weather Modification Center, Beijing, 100089, China;2. Beijing Key Laboratory of Cloud, Precipitation and Atmospheric Water Resources (LCPW), Beijing Meteorological Bureau, Beijing, 100089, China;3. Key Laboratory of Middle Atmosphere and Global Environment Observation, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029, China;1. Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters/Key Laboratory of Meteorological Disaster, Ministry of Education, Nanjing University of Information Science and Technology, Nanjing 210044, China;2. Key Laboratory for Aerosol-Cloud-Precipitation of China Meteorological Administration, Nanjing University of Information Science and Technology, Nanjing 210044, China;3. Climate and Atmospheric Science Section, Division of Illinois State Water Survey, Prairie Research Institute, University of Illinois at Urban-Champaign, Champaign, IL 61820, USA;1. Carl Sagan Center at the SETI Institute, 189 Bernardo Ave., Ste. 100, Mountain View, CA 94043, USA;2. Johns Hopkins University Applied Physics Laboratory, 11100 Johns Hopkins Road, Laurel, MD 20723, USA
Abstract:An asymptotic solution of inviscid Boussinesq equations for a ‘dry convective Rankine vortex’ with prescribed buoyant forcing is given. The obtained vortex solution demonstrates monotonic growth with height of the vortex core radius, which becomes infinite at a certain critical altitude, and the corresponding attenuation of the vertical vorticity. This idealized vortex is then embedded in a convectively unstable boundary layer; the resulting approximate vortex solution has been applied to determine the maximum rotational wind speed and diameter of dry convective dust-devil-like vortices.
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