Self-similarity problem of thermal convection averaged over a thin layer
https://doi.org/10.12737/22161
Abstract
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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Review
For citations:
Sakharova L.V. Self-similarity problem of thermal convection averaged over a thin layer. Vestnik of Don State Technical University. 2016;16(4):17-28. (In Russ.) https://doi.org/10.12737/22161
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