{"title":"气体流中硫酸滴蒸发过程的数学建模结果","authors":"Uliana Khimka, Andriy Helesh, Roksoliana Bukliv, Mariusz Śniadkowski","doi":"10.12913/22998624/170995","DOIUrl":null,"url":null,"abstract":"The processes of concentration of dilute solutions of sulfuric acid (H 2 SO 4 ), in particular hydrolytic sulfuric acid for the production of pigment titanium (IV) oxide, were analyzed. It is proposed to concentrate solutions of Н 2 SO 4 by evaporation in direct contact of acid droplets with hot industrial exhaust gases. The mathematical model of the evap-oration of Н 2 SO 4 drops in a hot gas stream, which used for the calculations, makes it possible to calculate the mass, temperature, velocity, and coordinates of the drop at any time with sufficient accuracy. However, the calculations are difficult, cumbersome and require multiple processing of large data sets. Therefore, the aim of the article was to approximate the calculated technological parameters of sulfuric acid droplet evaporation by obtaining simple mathematical dependencies. The mathematical dependences of the mass transfer coefficient and the distance traveled by a drop of Н 2 SO 4 during evaporation on air temperature and drop diameter were obtained. It has been established that technologically expedient evaporation of Н 2 SO 4 drops with a diameter of ≤ 0.5·10 -3 m in traditional devices leads to significant droplet loss, increased corrosion of equipment, etc. So, in order to practically implement the technol - ogy of evaporation of HSA solutions with industrial exhaust gases, it is necessary to change the technological mode of operation of the evaporator and the design of the main device. It is proposed to use the obtained results to study the methods of intensification of the evaporation process, selecting a modern mass transfer apparatus, developing a technology for utilizing hydrolytic sulfuric acid and producing pigment titanium (IV) oxide.","PeriodicalId":46357,"journal":{"name":"Advances in Science and Technology-Research Journal","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Results of Mathematical Modeling of Evaporation Process the Drops of Sulfuric Acid in the Gas Flow\",\"authors\":\"Uliana Khimka, Andriy Helesh, Roksoliana Bukliv, Mariusz Śniadkowski\",\"doi\":\"10.12913/22998624/170995\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The processes of concentration of dilute solutions of sulfuric acid (H 2 SO 4 ), in particular hydrolytic sulfuric acid for the production of pigment titanium (IV) oxide, were analyzed. It is proposed to concentrate solutions of Н 2 SO 4 by evaporation in direct contact of acid droplets with hot industrial exhaust gases. The mathematical model of the evap-oration of Н 2 SO 4 drops in a hot gas stream, which used for the calculations, makes it possible to calculate the mass, temperature, velocity, and coordinates of the drop at any time with sufficient accuracy. However, the calculations are difficult, cumbersome and require multiple processing of large data sets. Therefore, the aim of the article was to approximate the calculated technological parameters of sulfuric acid droplet evaporation by obtaining simple mathematical dependencies. The mathematical dependences of the mass transfer coefficient and the distance traveled by a drop of Н 2 SO 4 during evaporation on air temperature and drop diameter were obtained. It has been established that technologically expedient evaporation of Н 2 SO 4 drops with a diameter of ≤ 0.5·10 -3 m in traditional devices leads to significant droplet loss, increased corrosion of equipment, etc. So, in order to practically implement the technol - ogy of evaporation of HSA solutions with industrial exhaust gases, it is necessary to change the technological mode of operation of the evaporator and the design of the main device. It is proposed to use the obtained results to study the methods of intensification of the evaporation process, selecting a modern mass transfer apparatus, developing a technology for utilizing hydrolytic sulfuric acid and producing pigment titanium (IV) oxide.\",\"PeriodicalId\":46357,\"journal\":{\"name\":\"Advances in Science and Technology-Research Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-10-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Science and Technology-Research Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12913/22998624/170995\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Science and Technology-Research Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12913/22998624/170995","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
Results of Mathematical Modeling of Evaporation Process the Drops of Sulfuric Acid in the Gas Flow
The processes of concentration of dilute solutions of sulfuric acid (H 2 SO 4 ), in particular hydrolytic sulfuric acid for the production of pigment titanium (IV) oxide, were analyzed. It is proposed to concentrate solutions of Н 2 SO 4 by evaporation in direct contact of acid droplets with hot industrial exhaust gases. The mathematical model of the evap-oration of Н 2 SO 4 drops in a hot gas stream, which used for the calculations, makes it possible to calculate the mass, temperature, velocity, and coordinates of the drop at any time with sufficient accuracy. However, the calculations are difficult, cumbersome and require multiple processing of large data sets. Therefore, the aim of the article was to approximate the calculated technological parameters of sulfuric acid droplet evaporation by obtaining simple mathematical dependencies. The mathematical dependences of the mass transfer coefficient and the distance traveled by a drop of Н 2 SO 4 during evaporation on air temperature and drop diameter were obtained. It has been established that technologically expedient evaporation of Н 2 SO 4 drops with a diameter of ≤ 0.5·10 -3 m in traditional devices leads to significant droplet loss, increased corrosion of equipment, etc. So, in order to practically implement the technol - ogy of evaporation of HSA solutions with industrial exhaust gases, it is necessary to change the technological mode of operation of the evaporator and the design of the main device. It is proposed to use the obtained results to study the methods of intensification of the evaporation process, selecting a modern mass transfer apparatus, developing a technology for utilizing hydrolytic sulfuric acid and producing pigment titanium (IV) oxide.