{"title":"多孔介质中悬浮过滤的现象学模型","authors":"B. Fayziev","doi":"10.12732/ijam.v33i3.10","DOIUrl":null,"url":null,"abstract":"A suspension filtration problem with modified deposition kinetics in a porous medium is considered. A new model developed, in which “aging” and “charging” phenomena are taken into account in the kinetics of deposition. It is suggested that the process of deposition forming happens with “charging”, transient, “aging” and breakthrough stages and stops when the capacity of filter fills with deposition. To solve the formed system of partial differential equations an algorithm based on finite difference schemes is developed. Based on numerical results the influences of “aging” and “charging” phenomena on suspended particle transport, attachment and detachment characteristics are analysed. AMS Subject Classification: 76S05, 81T80","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"3 1","pages":"511"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A PHENOMENOLOGICAL MODEL OF SUSPENSION FILTRATION IN POROUS MEDIUM\",\"authors\":\"B. Fayziev\",\"doi\":\"10.12732/ijam.v33i3.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A suspension filtration problem with modified deposition kinetics in a porous medium is considered. A new model developed, in which “aging” and “charging” phenomena are taken into account in the kinetics of deposition. It is suggested that the process of deposition forming happens with “charging”, transient, “aging” and breakthrough stages and stops when the capacity of filter fills with deposition. To solve the formed system of partial differential equations an algorithm based on finite difference schemes is developed. Based on numerical results the influences of “aging” and “charging” phenomena on suspended particle transport, attachment and detachment characteristics are analysed. AMS Subject Classification: 76S05, 81T80\",\"PeriodicalId\":14365,\"journal\":{\"name\":\"International journal of pure and applied mathematics\",\"volume\":\"3 1\",\"pages\":\"511\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of pure and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v33i3.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v33i3.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A PHENOMENOLOGICAL MODEL OF SUSPENSION FILTRATION IN POROUS MEDIUM
A suspension filtration problem with modified deposition kinetics in a porous medium is considered. A new model developed, in which “aging” and “charging” phenomena are taken into account in the kinetics of deposition. It is suggested that the process of deposition forming happens with “charging”, transient, “aging” and breakthrough stages and stops when the capacity of filter fills with deposition. To solve the formed system of partial differential equations an algorithm based on finite difference schemes is developed. Based on numerical results the influences of “aging” and “charging” phenomena on suspended particle transport, attachment and detachment characteristics are analysed. AMS Subject Classification: 76S05, 81T80
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