Abstract

Purpose. To formulate a mathematical description of the process of air humidification in a flow-through apparatus with a rotary water sprayer (as an automation object). Methods. The analytical method of research is applied, which is based on determining the dynamic characteristics of heat and mass transfer processes during the interaction of water droplets with an airflow. Results. A mathematical description of the dynamics of a flowing air humidifier with a rotary water sprayer is formulated as a mathematical model of the unsteady mode of heat and mass transfer of sprayed water with an air stream and a mathematical model of the movement of a droplet as a material particle in a vertical uneven air flow. The trajectories of the droplets in the air flow are determined and the air humidification graphs are obtained. The obtained solution to the system of equations allows us to determine the influence of design and operating parameters on the dynamic properties of the air humidifier. Conclusions 1. A dynamic mathematical model of heat and mass transfer in a flow-through apparatus of ideal mixing has been developed. 2. The analytical dependences of the change in air parameters in time on the operating and design parameters of the apparatus were obtained. 3. The kinetic parameters of the droplet motion are determined. Keywords: air flow, droplet, humidifier, rotary disk, heat transfer, moisture content.

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