Self-similarity problem of thermal convection averaged over a thin layer

Автор: Sakharova Ludmila V.

Журнал: Advanced Engineering Research (Rostov-on-Don) @vestnik-donstu

Рубрика: Механика

Статья в выпуске: 4 (87) т.16, 2016 года.

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Three types of self-simulated replacements for the problem of thermal convection averaged over a thin layer of the vaporizing liquid are presented. It is a model of the drying non-viscous extended droplet specified by the non-thermal diffusivity. For the construction of self-simulated solutions, a transition to the Riemann invariants is performed. Self-simulated solutions are functions of time and position determining the drop height, the mass-transfer rate and the heat flow averaged over the drop thickness. The found self-simulated solutions are classified on the basis of the behavior of the function that describes the drop height under the evaporation-condensation. The domains of applicability of various self-simulated solutions to the simulation of different situations of drying drops and films are identified.

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Mathematical model, self-simulated solutions, drop, evaporation- condensation

Короткий адрес: https://sciup.org/14250244

IDR: 14250244   |   УДК: 004.942   |   DOI: 10.12737/22161