Modeling of heat and mass transfer processes in phase transformation cycle of sprayed water into gas: 3. Energy and thermal states analysis of slipping droplet in a humid air flow

Abstract

Reynolds number; S-area, m 2 ; T-temperature, K; η-non-dimensional radial coordinate; λ-thermal conductivity, W/(m K); -molecular mass, kg/kmol; -density, kg/m 3 ; -time, s; subscriptsc-convection; " "c-convective heating; " " r c -convective-radiative heating; C-droplet centre; cocondensation; e-equilibrium evaporation; f-phase change; g-gas; i-time index in a digital scheme; it-number of iteration; IT-index of closing iteration; I-index of control time; j-index of radial coordinate; J-index of droplet surface; k-conduction; " "k-conductive heating; lliquid; m-mass average; r-radiation; rt-dew point; R-droplet surface; v-vapor; vg-vapor-gas mixture; 0-initial state; -total; -far from a droplet; superscripts-+external side of a droplet surface;-internal side of a droplet surface.

Peculiarities of the transit phase transformation regime for water droplets that are slipping in humid gas

“…Traditionally, the vapor flow on the droplet surface is characterized by similarity theory methods when vapor flow density is calculated from empirical equations, where the Stefan's hydrodynamic flow influence for phase transformations intensity is evaluated by Spalding mass transfer parameter [50,56,57]. In this work vapor flow on the droplet surface is defined according to an analytical vapor flow density model [58]: …”