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

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 t...

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Bibliographic Details
Main Author: Ludmila V. Sakharova
Format: Article
Language:Russian
Published: Don State Technical University 2016-12-01
Series:Advanced Engineering Research
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Online Access:https://www.vestnik-donstu.ru/jour/article/view/111
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Summary: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.
ISSN:2687-1653