Modelling of water droplets heat and mass transfer in the course of phase transitions. I. Phase transitions cycle peculiarities and iterative scheme of numerical research control and optimization

Abstract

The peculiarities of the widely applied in practice sprayed water droplets phase transition cycle are discussed in this article. Theoretical fundamentals of droplets heat and mass transfer modelling by combined analytical-numerical method and numerical simulation peculiarities are outlined. Water droplet phase transitions were modelled on the energy flow balance condition basis. The control mechanism of iterative scheme used to determine the droplet surface temperature was highlighted. The optimal finite number of members in the infinite integral equation set for droplet temperature field and its gradient parameter calculation was defined by the numerical experiment.

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

“…At the second stage appropriate boundary conditions case is simulated for ''c" heat transfer droplet phase transformation cycle when droplets slipping is defined by Re 0 >0. For convenience of numerical research results analysis Fourier number is calculated for a 0 a l ðT l ¼ 278 KÞ: At numerical schemes of expressions (12) and (15) a 101 infinite sum member is taken into account [62], droplet radial coordinate according to expression (22) is calibrated for J ¼ 41 case. At the numerical research condition (41) satisfying is controlled in each iterative cycle to define the droplet surface temperature T R,i , ensuring the requirement d leg ¼ 0:05% (Fig.…”

A Study of Air Velocity in a Cooling Tower that Affects the Diameter of the Droplet

“…Then, the mathematical model that calculates interactions between water and airin the form of changes in droplet radius R(z) (m), droplet fall velocity v(z) (m/s), droplet temperature Tw(z) (K), air temperature Ta(z) (K), and droplet density ρ(z) (kg/m 3 ) along the z-axis is presented by Equation (11), Equation (12), Equation (13), Equation ( 14), and Equation (15), respectively [15,16].…”

“…with these initial value definitions, this study formed a nonlinear boundaryvalue problem system fromordinary differential equations, which are Equation (11) to Equation (15).…”

“…Investigation about the phenomena of the water and air that work in it is an enticing thing to do, such as the droplet evaporation [1,6]. Observations were made to the level of droplets to get a high level of accuracy [6][7][8][9][10][11][12]. It described fluid interactions in the form of mathematical modelling obtained from governing equations, for example, the droplet surface temperature, the average water temperature, change in velocity of the falling droplet, and so on [13][14][15][16].…”