T. Wilson, Charlotte R. Pfeifer, N. Mesyngier, D. Durian
{"title":"Granular discharge rate for submerged hoppers","authors":"T. Wilson, Charlotte R. Pfeifer, N. Mesyngier, D. Durian","doi":"10.4279/pip.060009","DOIUrl":null,"url":null,"abstract":"The discharge of spherical grains from a hole in the bottom of a right circular cylinder is measured with the entire system underwater. We find that the discharge rate depends on filling height, in contrast to the well-known case of dry non-cohesive grains. It is further surprising that the rate increases up to about twenty five percent, as the hopper empties and the granular pressure head decreases. For deep filling, where the discharge rate is constant, we measure the behavior as a function of both grain and hole diameters. The discharge rate scale is set by the product of hole area and the terminal falling speed of isolated grains. But there is a small-hole cutoff of about two and half grain diameters, which is larger than the analogous cutoff in the Beverloo equation for dry grains. Received: 11 September 2014, Accepted: 10 October 2014; Reviewed by: L. Staron, CNRS, Universite Pierre et Marie Curie, Institut Le Rond d'Alembert, Paris, France; Edited by: L. A. Pugnaloni; DOI: http://dx.doi.org/10.4279/PIP.060009 Cite as: T J Wilson, C R Pfeifer, N Meysingier, D J Durian, Papers in Physics 6, 060009 (2014)","PeriodicalId":19791,"journal":{"name":"Papers in Physics","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2013-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"34","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Papers in Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4279/pip.060009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 34
Abstract
The discharge of spherical grains from a hole in the bottom of a right circular cylinder is measured with the entire system underwater. We find that the discharge rate depends on filling height, in contrast to the well-known case of dry non-cohesive grains. It is further surprising that the rate increases up to about twenty five percent, as the hopper empties and the granular pressure head decreases. For deep filling, where the discharge rate is constant, we measure the behavior as a function of both grain and hole diameters. The discharge rate scale is set by the product of hole area and the terminal falling speed of isolated grains. But there is a small-hole cutoff of about two and half grain diameters, which is larger than the analogous cutoff in the Beverloo equation for dry grains. Received: 11 September 2014, Accepted: 10 October 2014; Reviewed by: L. Staron, CNRS, Universite Pierre et Marie Curie, Institut Le Rond d'Alembert, Paris, France; Edited by: L. A. Pugnaloni; DOI: http://dx.doi.org/10.4279/PIP.060009 Cite as: T J Wilson, C R Pfeifer, N Meysingier, D J Durian, Papers in Physics 6, 060009 (2014)
在整个系统处于水下的情况下,测量了球形颗粒从右圆柱体底部的孔中流出的情况。我们发现,与众所周知的干燥无粘性颗粒的情况相反,放电速率取决于填充高度。更令人惊讶的是,当料斗清空,颗粒压头减小时,速率增加到约25%。对于放电速率恒定的深度填充,我们测量了作为颗粒直径和孔径的函数的行为。放电速率尺度由孔洞面积与孤立颗粒最终下落速度的乘积确定。但存在一个约2.5粒直径的小孔截止点,这比Beverloo方程中干粒的类似截止点要大。收稿日期:2014年9月11日,收稿日期:2014年10月10日;评审:L. Staron,法国国家科学研究中心,皮埃尔和玛丽居里大学,法国巴黎达朗贝尔路研究所;编辑:L. A. Pugnaloni;引用全文:T J Wilson, C R Pfeifer, N meyssingier, D J Durian, Papers in Physics, 6,060009 (2014)
期刊介绍:
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