S. Atri, A. Kumar, S. Fotovati, H.V. Tafreshi, B. Pourdeyhimi
{"title":"“预测由软纤维组成的双峰纤维介质渗透率的新型微尺度-宏观尺度方法”的勘误表[化学]。Eng。科学通报。313 (2025)121724]","authors":"S. Atri, A. Kumar, S. Fotovati, H.V. Tafreshi, B. Pourdeyhimi","doi":"10.1016/j.ces.2025.122208","DOIUrl":null,"url":null,"abstract":"We regret to report some unintentional mistakes in the equations that were used in pressure drop calculations reported in our recent publication by <span><span>Atri et al.</span></span>, entitled “Novel microscale-macroscale approach to predict permeability of bimodal fibrous media comprised of soft fibers”, Chem. Eng. Sci. 313 (2025) 121724 (hereon referred to as the CES2025 paper). As a result of these mistakes, some of the data presented in <span><span>Fig. 9D</span></span>, <span><span>Fig. 9MH</span></span>, <span><span>Fig. 10D</span></span>, <span><span>Fig. 10M</span></span>, <span><span>Fig. 11D</span></span>, <span><span>Fig. 11MH</span></span> and <span><span>Tables 6 and S1</span></span> were unfortunately inaccurate. We found these mistakes after we were contacted by Dr. Augustin Charvet from Université de Lorraine, Nancy, France, who noticed some discrepancies between the data given in <span><span>Table S1</span></span> and those plotted in <span><span>Fig. 11</span></span>. The current corrigendum is prepared to point out where these mistakes were made and to provide corrected versions of <span><span>Fig. 9D</span></span>, <span><span>Fig. 9MH</span></span>, <span><span>Fig. 10D</span></span>, <span><span>Fig. 10M</span></span>, <span><span>Fig. 11D</span></span>, <span><span>Fig. 11MH</span></span> and <span><span>Tables 6 and S1</span></span>. The errors do not impact the overall conclusions that were reported in our CES2025 paper.<figure><span><img alt=\"\" aria-describedby=\"cn0005\" height=\"336\" src=\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr1.jpg\"/><ol><li><span><span>Download: <span>Download high-res image (117KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 9D</span>. Relative viscosity factor <em>µ<sub>r</sub></em> used in our Micro-Macro simulations for each structure as a function of the structure’s fine fiber SVF <em>α<sub>f</sub></em> for data generated using the Davies equation.</p></span></span></figure><figure><span><img alt=\"\" aria-describedby=\"cn0010\" height=\"346\" src=\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr2.jpg\"/><ol><li><span><span>Download: <span>Download high-res image (119KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 9MH</span>. Relative viscosity factor <em>µ<sub>r</sub></em> used in our Micro-Macro simulations for each structure as a function of the structure’s fine fiber SVF <em>α<sub>f</sub></em> for data generated using the Modified Happel equation.</p></span></span></figure><figure><span><img alt=\"\" aria-describedby=\"cn0015\" height=\"651\" src=\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr3.jpg\"/><ol><li><span><span>Download: <span>Download high-res image (413KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 10D</span>. Comparison between pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c), and the Cube root mean diameter model (d). The black symbols denote the simulation results while the colorful symbols show the analytical predictions. The Davies equation was used for generating these data.</p></span></span></figure><figure><span><img alt=\"\" aria-describedby=\"cn0020\" height=\"650\" src=\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr4.jpg\"/><ol><li><span><span>Download: <span>Download high-res image (410KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 10M</span>. <strong>H.</strong> Comparison between pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c), and the Cube root mean diameter model (d). The black symbols denote the simulation results while the colorful symbols show the analytical predictions. The Modified Happel equation was used in generating these data.</p></span></span></figure><figure><span><img alt=\"\" aria-describedby=\"cn0025\" height=\"618\" src=\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr5.jpg\"/><ol><li><span><span>Download: <span>Download high-res image (621KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 11D</span>. Comparison between errors of pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c) and the Cube root mean diameter model (d). The colored symbols on the second y-axes show the ratio of coarse-to-fine fiber diameters <em>R<sub>cf</sub></em>. The Davies equation was used for generating these data.</p></span></span></figure><figure><span><img alt=\"\" aria-describedby=\"cn0030\" height=\"650\" src=\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr6.jpg\"/><ol><li><span><span>Download: <span>Download high-res image (621KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 11MH</span>. <strong>.</strong> Comparison between errors of pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c) and the Cube root mean diameter model (d). The colored symbols on the second y-axes show the ratio of coarse-to-fine fiber diameters <em>R<sub>cf</sub></em>. The Modified Happel equation was used in generating these data.</p></span></span></figure>","PeriodicalId":271,"journal":{"name":"Chemical Engineering Science","volume":"9 1","pages":""},"PeriodicalIF":4.3000,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Corrigendum to “Novel microscale-macroscale approach to predict permeability of bimodal fibrous media comprised of soft fibers” [Chem. Eng. Sci. 313 (2025) 121724]\",\"authors\":\"S. Atri, A. Kumar, S. Fotovati, H.V. Tafreshi, B. Pourdeyhimi\",\"doi\":\"10.1016/j.ces.2025.122208\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We regret to report some unintentional mistakes in the equations that were used in pressure drop calculations reported in our recent publication by <span><span>Atri et al.</span></span>, entitled “Novel microscale-macroscale approach to predict permeability of bimodal fibrous media comprised of soft fibers”, Chem. Eng. Sci. 313 (2025) 121724 (hereon referred to as the CES2025 paper). As a result of these mistakes, some of the data presented in <span><span>Fig. 9D</span></span>, <span><span>Fig. 9MH</span></span>, <span><span>Fig. 10D</span></span>, <span><span>Fig. 10M</span></span>, <span><span>Fig. 11D</span></span>, <span><span>Fig. 11MH</span></span> and <span><span>Tables 6 and S1</span></span> were unfortunately inaccurate. We found these mistakes after we were contacted by Dr. Augustin Charvet from Université de Lorraine, Nancy, France, who noticed some discrepancies between the data given in <span><span>Table S1</span></span> and those plotted in <span><span>Fig. 11</span></span>. The current corrigendum is prepared to point out where these mistakes were made and to provide corrected versions of <span><span>Fig. 9D</span></span>, <span><span>Fig. 9MH</span></span>, <span><span>Fig. 10D</span></span>, <span><span>Fig. 10M</span></span>, <span><span>Fig. 11D</span></span>, <span><span>Fig. 11MH</span></span> and <span><span>Tables 6 and S1</span></span>. The errors do not impact the overall conclusions that were reported in our CES2025 paper.<figure><span><img alt=\\\"\\\" aria-describedby=\\\"cn0005\\\" height=\\\"336\\\" src=\\\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr1.jpg\\\"/><ol><li><span><span>Download: <span>Download high-res image (117KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 9D</span>. Relative viscosity factor <em>µ<sub>r</sub></em> used in our Micro-Macro simulations for each structure as a function of the structure’s fine fiber SVF <em>α<sub>f</sub></em> for data generated using the Davies equation.</p></span></span></figure><figure><span><img alt=\\\"\\\" aria-describedby=\\\"cn0010\\\" height=\\\"346\\\" src=\\\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr2.jpg\\\"/><ol><li><span><span>Download: <span>Download high-res image (119KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 9MH</span>. Relative viscosity factor <em>µ<sub>r</sub></em> used in our Micro-Macro simulations for each structure as a function of the structure’s fine fiber SVF <em>α<sub>f</sub></em> for data generated using the Modified Happel equation.</p></span></span></figure><figure><span><img alt=\\\"\\\" aria-describedby=\\\"cn0015\\\" height=\\\"651\\\" src=\\\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr3.jpg\\\"/><ol><li><span><span>Download: <span>Download high-res image (413KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 10D</span>. Comparison between pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c), and the Cube root mean diameter model (d). The black symbols denote the simulation results while the colorful symbols show the analytical predictions. The Davies equation was used for generating these data.</p></span></span></figure><figure><span><img alt=\\\"\\\" aria-describedby=\\\"cn0020\\\" height=\\\"650\\\" src=\\\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr4.jpg\\\"/><ol><li><span><span>Download: <span>Download high-res image (410KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 10M</span>. <strong>H.</strong> Comparison between pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c), and the Cube root mean diameter model (d). The black symbols denote the simulation results while the colorful symbols show the analytical predictions. The Modified Happel equation was used in generating these data.</p></span></span></figure><figure><span><img alt=\\\"\\\" aria-describedby=\\\"cn0025\\\" height=\\\"618\\\" src=\\\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr5.jpg\\\"/><ol><li><span><span>Download: <span>Download high-res image (621KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 11D</span>. Comparison between errors of pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c) and the Cube root mean diameter model (d). The colored symbols on the second y-axes show the ratio of coarse-to-fine fiber diameters <em>R<sub>cf</sub></em>. The Davies equation was used for generating these data.</p></span></span></figure><figure><span><img alt=\\\"\\\" aria-describedby=\\\"cn0030\\\" height=\\\"650\\\" src=\\\"https://ars.els-cdn.com/content/image/1-s2.0-S0009250925010292-gr6.jpg\\\"/><ol><li><span><span>Download: <span>Download high-res image (621KB)</span></span></span></li><li><span><span>Download: <span>Download full-size image</span></span></span></li></ol></span><span><span><p><span>Fig. 11MH</span>. <strong>.</strong> Comparison between errors of pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c) and the Cube root mean diameter model (d). The colored symbols on the second y-axes show the ratio of coarse-to-fine fiber diameters <em>R<sub>cf</sub></em>. The Modified Happel equation was used in generating these data.</p></span></span></figure>\",\"PeriodicalId\":271,\"journal\":{\"name\":\"Chemical Engineering Science\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":4.3000,\"publicationDate\":\"2025-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chemical Engineering Science\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1016/j.ces.2025.122208\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chemical Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1016/j.ces.2025.122208","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}
Corrigendum to “Novel microscale-macroscale approach to predict permeability of bimodal fibrous media comprised of soft fibers” [Chem. Eng. Sci. 313 (2025) 121724]
We regret to report some unintentional mistakes in the equations that were used in pressure drop calculations reported in our recent publication by Atri et al., entitled “Novel microscale-macroscale approach to predict permeability of bimodal fibrous media comprised of soft fibers”, Chem. Eng. Sci. 313 (2025) 121724 (hereon referred to as the CES2025 paper). As a result of these mistakes, some of the data presented in Fig. 9D, Fig. 9MH, Fig. 10D, Fig. 10M, Fig. 11D, Fig. 11MH and Tables 6 and S1 were unfortunately inaccurate. We found these mistakes after we were contacted by Dr. Augustin Charvet from Université de Lorraine, Nancy, France, who noticed some discrepancies between the data given in Table S1 and those plotted in Fig. 11. The current corrigendum is prepared to point out where these mistakes were made and to provide corrected versions of Fig. 9D, Fig. 9MH, Fig. 10D, Fig. 10M, Fig. 11D, Fig. 11MH and Tables 6 and S1. The errors do not impact the overall conclusions that were reported in our CES2025 paper.
Download: Download high-res image (117KB)
Download: Download full-size image
Fig. 9D. Relative viscosity factor µr used in our Micro-Macro simulations for each structure as a function of the structure’s fine fiber SVF αf for data generated using the Davies equation.
Download: Download high-res image (119KB)
Download: Download full-size image
Fig. 9MH. Relative viscosity factor µr used in our Micro-Macro simulations for each structure as a function of the structure’s fine fiber SVF αf for data generated using the Modified Happel equation.
Download: Download high-res image (413KB)
Download: Download full-size image
Fig. 10D. Comparison between pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c), and the Cube root mean diameter model (d). The black symbols denote the simulation results while the colorful symbols show the analytical predictions. The Davies equation was used for generating these data.
Download: Download high-res image (410KB)
Download: Download full-size image
Fig. 10M. H. Comparison between pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c), and the Cube root mean diameter model (d). The black symbols denote the simulation results while the colorful symbols show the analytical predictions. The Modified Happel equation was used in generating these data.
Download: Download high-res image (621KB)
Download: Download full-size image
Fig. 11D. Comparison between errors of pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c) and the Cube root mean diameter model (d). The colored symbols on the second y-axes show the ratio of coarse-to-fine fiber diameters Rcf. The Davies equation was used for generating these data.
Download: Download high-res image (621KB)
Download: Download full-size image
Fig. 11MH. . Comparison between errors of pressure drop values obtained from Micro-Macro simulations and their analytical counterparts according to the Area-weighted resistivity model (a), Volume-weighted resistivity model (b), Modified volume weighted resistivity model (c) and the Cube root mean diameter model (d). The colored symbols on the second y-axes show the ratio of coarse-to-fine fiber diameters Rcf. The Modified Happel equation was used in generating these data.
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