Abstract
This paper continues optimization of numerical solution algorithm of iterative scheme grid for the droplet task, which was presented in the first article of this series. Assumptions were made by optimal assessable number of members which was already defined in numerical experiment in case of compound heat spread by conduction and radiation and an unsteady temperature field was described by infinite integral equation sum. For the convenience of numerical analysis, droplet thermal parameters PT were described by universal Fourier criteria Fo and by dimensionless radial coordinate η function PT(Fo,η). This function is given in form of infinite integral equation sum with each thermal parameter having a distinct initial member and individually defined subsidiary function. This function is given in form of infinite integral equation sum with each thermal parameter having a distinct initial member and individually defined subsidiary function. The droplet time and radial coordinate grading change influence for calculated function graphs PT(Fo,η) was evaluated by water droplets heat transfer and phase transformation numerical experiment. Summarizing by conduction and radiation heated water droplets thermal parameter variation patterns a methodology of forming an optimal grid for droplet task' task iterative solving, is provided.
Highlights
Technologies based on liquid droplet transfer processes are attractive by the fact that, when spraying out the liquid, the contact surface between liquid and gaseous phases increases significantly
An imagine of droplet that is sprayed in liquid phase transformation cycle τ ≡ 0 ÷ τf at a different modelled transfer processes in phase transformation regimes allows to view at them from uniform positions, while forming overall droplet problem that is described by expression (1) and forming the internal and external tasks in this problem
Fourier time scale is practical because it ensures insensitive thermal parameters functions PT,k(Fo) graphs for droplets dispersity when droplet is heated by conduction (k heating transfer case) [7]
Summary
Technologies based on liquid droplet transfer processes are attractive by the fact that, when spraying out the liquid, the contact surface between liquid and gaseous phases increases significantly. The researchers approach is important to the contact between phase surface temperatures role into droplet transformation process interaction. In droplet phase transformation cycle, the contact surface temperature between liquid and gaseous is changing This time τ change is described by function TR ≡ TR(τ ) and can only be defined by coupled analysis of the heat flows within the droplet and its surroundings. Parameter g0 defines droplet heat and mass transfer and phase transformation impact for carrying gas flow state. It is stated that a slight amount of water is sprayed into the gas flow: g0 ∼= 0 and droplets transfer and phase transformation processes do not have an influence for the gas parameters: Tg(τ ) ≡ Tg,0 and pg(τ ) ≡ pg,0
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