{"title":"在浅斜坡上停止颗粒状流动","authors":"Thomas Boutreux, Pierre-Gilles de Gennes","doi":"10.1016/S1251-8069(98)80035-3","DOIUrl":null,"url":null,"abstract":"<div><p>A ridge of sand, with initial angles ± θ<sub>i</sub> (smaller than the angle of repose θ<sub>r</sub>) is fed by a source of flux 2Q. We discuss here the theoretical profile achieved after a time t, using the equations of Bouchaud et al. in their original form, and also in a modified form which might apply for strong flows. The result is a central heap, steeper than the original ridge, of slope close to θ<sub>r</sub>. The horizontal span is predicted to be x<sub>m</sub> = (2Dt)<sup>1/2</sup>, with an apparent diffusion coefficient D = Q/(θ<sub>r</sub> − θ<sub>i</sub>).</p></div>","PeriodicalId":100304,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy","volume":"326 4","pages":"Pages 257-262"},"PeriodicalIF":0.0000,"publicationDate":"1998-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1251-8069(98)80035-3","citationCount":"1","resultStr":"{\"title\":\"Arrêt d'un écoulement granulaire sur une pente faible\",\"authors\":\"Thomas Boutreux, Pierre-Gilles de Gennes\",\"doi\":\"10.1016/S1251-8069(98)80035-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A ridge of sand, with initial angles ± θ<sub>i</sub> (smaller than the angle of repose θ<sub>r</sub>) is fed by a source of flux 2Q. We discuss here the theoretical profile achieved after a time t, using the equations of Bouchaud et al. in their original form, and also in a modified form which might apply for strong flows. The result is a central heap, steeper than the original ridge, of slope close to θ<sub>r</sub>. The horizontal span is predicted to be x<sub>m</sub> = (2Dt)<sup>1/2</sup>, with an apparent diffusion coefficient D = Q/(θ<sub>r</sub> − θ<sub>i</sub>).</p></div>\",\"PeriodicalId\":100304,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy\",\"volume\":\"326 4\",\"pages\":\"Pages 257-262\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1251-8069(98)80035-3\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1251806998800353\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1251806998800353","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Arrêt d'un écoulement granulaire sur une pente faible
A ridge of sand, with initial angles ± θi (smaller than the angle of repose θr) is fed by a source of flux 2Q. We discuss here the theoretical profile achieved after a time t, using the equations of Bouchaud et al. in their original form, and also in a modified form which might apply for strong flows. The result is a central heap, steeper than the original ridge, of slope close to θr. The horizontal span is predicted to be xm = (2Dt)1/2, with an apparent diffusion coefficient D = Q/(θr − θi).
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