This paper presents the heat and mass transfer model of a liquid droplet in the consistently changing condensation, transit and equilibrium evaporation regimes, and iterative scheme of numerical simulation of the instantaneous temperature of a semi-transparent droplet in the case of complex radiative-convective heating. The whole cycle of the phase transition regimes of medium and large water droplets flowing in the flue gas was modeled, taking into account the application of water spraying into the flue gas of a biofuel furnace. Simulation results expressed as thermal, energy and phase transformation parameters of water droplets are analyzed in the universal Fourier time scale. The factors defining the change of heat transfer regime of a water droplet are termed as the suppression of droplet slipping in flue gas flow at initial phase transformation stage, and the decrease of radiation absorption at the final stage. Particular attention is paid to the evaluation of the influence of parameters defining the interaction of complex transfer processes on the droplet's phase transformations performing the sensitivity analysis of the heat and mass transfer parameters for the “hypothetical” droplet case (the diameter and the slipping velocity in to gas did not change). It is substantiated, that the main parameters defining the sensitivity of water droplets equilibrium evaporation temperature are flue gas humidity, droplets dispersity, flue gas temperature and droplets slipping velocity.

The performed statistical uncertainty and sensitivity analysis showed that the uncertainty of heat and mass transfer parameters describing the phase transformations of a water droplet until equilibrium evaporation regime is affected mostly by droplet dispersity, slipping velocity, flue gas temperature and pressure. The size of droplets and their slip velocity in the flue gas flow were identified as very important parameters for the interaction of complex heat and mass transfer processes of a sprayed water. The main uncertainties were defined at the transition from condensing to transit evaporation regime, and it was defined that with a confidence interval of at least 95 % and accepting a tolerance limit with a probability of at least 95 %, the transit evaporation regime starts at the range Fo ≈ (0.02–0.1). The droplet surface temperature, i.e. parameter determining the droplet phase transformations and its dynamics, could be assessed with a mean error of ±10 %, accepting 95 % probability with 95 % confidence level.

本文介绍了在不断变化的冷凝、传输和平衡蒸发状态下液滴的传热传质模型，以及复杂辐射对流加热情况下半透明液滴瞬时温度的数值模拟迭代方案。 . 考虑到将水喷洒到生物燃料炉的烟气中的应用，模拟了烟气中流动的中大水滴的相变状态的整个循环。在通用傅立叶时间尺度上分析表示为水滴的热、能量和相变参数的模拟结果。决定水滴传热方式变化的因素被称为初始相变阶段水滴在烟道气流中滑移的抑制，以及最终阶段辐射吸收的减少。特别注意评估定义复杂传递过程相互作用的参数对液滴相变的影响，对“假设”液滴情况（直径和滑动速度）进行传热和传质参数的敏感性分析。气没变）。经证实，决定水滴平衡蒸发温度敏感性的主要参数是烟气湿度、水滴分散度、烟气温度和水滴滑移速度。最后阶段的辐射吸收减少。特别注意评估定义复杂传递过程相互作用的参数对液滴相变的影响，对“假设”液滴情况（直径和滑动速度）进行传热和传质参数的敏感性分析。气没变）。经证实，决定水滴平衡蒸发温度敏感性的主要参数是烟气湿度、水滴分散度、烟气温度和水滴滑移速度。最后阶段的辐射吸收减少。特别注意评估定义复杂传递过程相互作用的参数对液滴相变的影响，对“假设”液滴情况（直径和滑动速度）进行传热和传质参数的敏感性分析。气没变）。经证实，决定水滴平衡蒸发温度敏感性的主要参数是烟气湿度、水滴分散度、烟气温度和水滴滑移速度。s 相变对“假设”液滴情况（直径和进入气体的滑动速度没有改变）执行传热和传质参数的敏感性分析。经证实，决定水滴平衡蒸发温度敏感性的主要参数是烟气湿度、水滴分散度、烟气温度和水滴滑移速度。s 相变对“假设”液滴情况（直径和进入气体的滑动速度没有改变）执行传热和传质参数的敏感性分析。经证实，决定水滴平衡蒸发温度敏感性的主要参数是烟气湿度、水滴分散度、烟气温度和水滴滑移速度。

进行的统计不确定性和敏感性分析表明，描述水滴在平衡蒸发状态之前的相变的传热和传质参数的不确定性主要受液滴分散度、滑移速度、烟气温度和压力的影响。液滴的大小及其在烟道气流中的滑移速度被认为是喷水复杂传热传质过程相互作用的非常重要的参数。主要的不确定性是在从冷凝到过渡蒸发状态的过渡时定义的，它被定义为置信区间至少为 95 % 并且接受容差极限的概率至少为 95 %，过渡蒸发状态开始于范围Fo ≈ (0.02–0.1)。液滴表面温度，即决定液滴相变及其动力学的参数，可以以 ±10% 的平均误差进行评估，接受 95% 的概率和 95% 的置信水平。