A Mathematical Model for Predicting the Sauter Mean Diameter of Liquid-Medium Ultrasonic Atomizing Nozzle Based on Orthogonal Design

Shilin Li,Han Han,Chang Tian,Pengfei Wang,Gaogao Wu,Yan Cui

doi:10.3390/app112411628

Shilin Li, Han Han + Show 4 more

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https://doi.org/10.3390/app112411628

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Journal: Applied sciences	Publication Date: Dec 8, 2021
Citations: 6	License type: CC BY 4.0

Affiliation: Hunan University of Science and Technology

Abstract

As a new type of atomizing nozzle with superior atomizing performance, the liquid-medium ultrasonic atomization nozzle has been widely applied in the field of spray dust reduction. In this study, in order to establish a mathematical model for predicting the Sauter mean diameter (SMD) of such nozzles, the interaction between the SMD of the nozzle and the three influencing factors, i.e., air pressure, water pressure, and outlet diameter were investigated based on the custom-designed spraying experiment platform and orthogonal design methods. Through range analysis, it was obtained that the three parameters affecting the SMD of the nozzle are in the order of air pressure > water pressure > outlet diameter. On this basis, using the multivariate nonlinear regression method, the mathematical model for predicting the SMD of the nozzle was constructed. Comparison of the experimental results with the predicted values of the SMD of the nozzle by the multivariate nonlinear regression mathematical model, showed strong similarity with an average relative error of only about 5%. Therefore, the established mathematical model in this paper can be used to predict and calculate the droplet size for liquid-medium ultrasonic atomizing nozzles.

Highlights

Zhang et al (2002) analyzed the ultrasonic atomization performance of water through orthogonal experiments, and the results showed that the number of droplets with the size smaller than 50 μm can be used as an index for the optimal parameter of the nozzle [38]
Study, based based on on the the orthogonal orthogonal design design method, method, the the atomization atomization parameters parameters of of aa liquid-medium ultrasonic atomization nozzle were obtained under operating liquid-medium ultrasonic atomization nozzle were obtained under 25 operating condiconditions tions using using aa Malvern
In this study, based on the orthogonal design method, the atomization parameters of a liquid-medium ultrasonic atomization nozzle were obtained under 25 operating conditions using a Malvern real-time high-speed spray particle size analyzer, an intelligent electromagnetic flow meter and an air mass flow meter

Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. A large amount of dust is produced from mining, metal smelting and other production activities [1,2,3,4,5]. The health and safety of workers who are exposed to high dust concentrations for long periods of time are at a serious risk [6,7,8,9]. According to the regulation from the National Health Committee of China, at production sites, the 8-h weighted average concentrations of total dust and respirable dust should be lower than 4.0 mg/m3 and

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Results

Conclusion