Boltzmann statistical theory and asymptotics of the temperature distribution of spontaneous jets in the convective atmospheric surface layer |
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| Authors: | A N Vul’fson O O Borodin |
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| Institution: | (1) Institute of Oil and Gas Problems, Russian Academy of Sciences, ul. Gubkina 3, Moscow, 119333, Russia |
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| Abstract: | An ensemble of convective thermals is distinguished from the surface layer of penetrative turbulent convection over a heated horizontally uniform surface. A statistical model of the ensemble of convective thermals is developed that uses the idea of entropy in the Boltzmann-Jaynes form. The distribution of thermals by potential energies is shown to display an entropy maximum. On the basis of the Boltzmann distribution by potential energies, the temperature distribution of spontaneous jets is obtained and found to be consistent with known experimental data. |
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