{"title":"The sedimentation probability model based on the particle size distribution and cake morphology in the cross-flow membrane process","authors":"Ge Hu, Zhan Wang","doi":"10.1016/j.ces.2024.121045","DOIUrl":null,"url":null,"abstract":"<div><div>Evolution of non-uniform cake structure in the cross-flow membrane process was investigated in this study. Considering the real cake surface morphology and particle size distribution, the sedimentation probability of foulant (<em>γ</em>) was calculated, then a new flux prediction model based on the mass conservation on the cake surface was proposed. Results showed that the predictions of the new model had excellent agreements with experimental data (R<sup>2</sup> > 0.97), wherein cake surface heights obeyed normal distribution and protrusion heights approximately obeyed exponential distribution. Meanwhile, <em>γ</em> decreased with cross-flow velocity from 4.59 % (0.24 m/s) to 2.53 % (0.48 m/s), whereas <em>γ</em> increased with <em>trans</em>-membrane pressure from 2.80 % (0.1 MPa) to 6.44 % (0.2 MPa). In addition, a skin layer which was approximately about 20 % of total cake thickness but possessed 70 % of the total resistance, was also observed in the cross-flow mode. These results provided a brand-new perspective (tuning cake morphology or structure) on the essence of membrane fouling alleviation.</div></div>","PeriodicalId":271,"journal":{"name":"Chemical Engineering Science","volume":"304 ","pages":"Article 121045"},"PeriodicalIF":4.1000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chemical Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0009250924013459","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Evolution of non-uniform cake structure in the cross-flow membrane process was investigated in this study. Considering the real cake surface morphology and particle size distribution, the sedimentation probability of foulant (γ) was calculated, then a new flux prediction model based on the mass conservation on the cake surface was proposed. Results showed that the predictions of the new model had excellent agreements with experimental data (R2 > 0.97), wherein cake surface heights obeyed normal distribution and protrusion heights approximately obeyed exponential distribution. Meanwhile, γ decreased with cross-flow velocity from 4.59 % (0.24 m/s) to 2.53 % (0.48 m/s), whereas γ increased with trans-membrane pressure from 2.80 % (0.1 MPa) to 6.44 % (0.2 MPa). In addition, a skin layer which was approximately about 20 % of total cake thickness but possessed 70 % of the total resistance, was also observed in the cross-flow mode. These results provided a brand-new perspective (tuning cake morphology or structure) on the essence of membrane fouling alleviation.
期刊介绍:
Chemical engineering enables the transformation of natural resources and energy into useful products for society. It draws on and applies natural sciences, mathematics and economics, and has developed fundamental engineering science that underpins the discipline.
Chemical Engineering Science (CES) has been publishing papers on the fundamentals of chemical engineering since 1951. CES is the platform where the most significant advances in the discipline have ever since been published. Chemical Engineering Science has accompanied and sustained chemical engineering through its development into the vibrant and broad scientific discipline it is today.