Cooling of a Vapor–Gas Mixture by Evaporating Water Drops

Cooling of a Vapor-Gas Mixture by Evaporating Water Drops: Dependence of the Cooling Time on the Initial Temperature of the Vapor-Gas Mixture

“…The assumptions made in the thermal relaxation model (rapid equalization of vapor and gas temperatures in intermolecular collisions that makes it possible to use a single energy equation for the gas phase; uniformity of the temperature profile within evaporating droplets; quasisteady nature of the process of droplet evaporation) and the corresponding time constraints have been discussed in or previous study [10]. Their validity was verified.…”

“…The formulation of the problem corresponds to the one used in [9,10]: a flow of a hot vapor-gas mixture and cool water droplets was considered. The flow is steady, laminar, and single-velocity.…”

“…Just as in [10], the mathematical model of the process of thermal equilibration (thermal relaxation) of the flow included the equations of continuity and energy for gas, vapor, and droplets:…”

“…b -Dependence of the characteristic temperature on the length of the temperature interval. Symbols and the solid line represent the results of processing of calculated data and approximation performed in accordance with (10), respectively.…”

“…The relation between t 973 and the initial composition of the vapor-gas mixture and the temperature interval of cooling was defined in [10] in terms of the coefficients of polynomial expansions for A and n in parameter Y = T /1000, which depend on g 0 vg f and were determined at T 0 vg = 973 K. In general, characteristic temperature also depends on the values of g 0 d , g 0 vg f , and T . In order to simplify the practical application of expression (8), we tried to determine for each T value by analyzing data for the entire interval of variation of g 0 d , g 0 vg f , and T 0 vg ; i.e., we checked whether the dependence of on the initial composition of the vapor-gas mixture may be neglected.…”