Granular discharge rate for submerged hoppers

IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY
T. Wilson, Charlotte R. Pfeifer, N. Mesyngier, D. Durian
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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)
浸没式料斗的颗粒排出率
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)
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来源期刊
Papers in Physics
Papers in Physics PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.90
自引率
0.00%
发文量
13
期刊介绍: Papers in Physics publishes original research in all areas of physics and its interface with other subjects. The scope includes, but is not limited to, physics of particles and fields, condensed matter, relativity and gravitation, nuclear physics, physics of fluids, biophysics, econophysics, chemical physics, statistical mechanics, soft condensed matter, materials science, mathematical physics and general physics. Contributions in the areas of foundations of physics, history of physics and physics education are not considered for publication. Articles published in Papers in Physics contain substantial new results and ideas that advance the state of physics in a non-trivial way. Articles are strictly reviewed by specialists prior to publication. Papers in Physics highlights outstanding articles published in the journal through the Editors'' choice section. Papers in Physics offers two distinct editorial treatments to articles from which authors can choose. In Traditional Review, manuscripts are submitted to anonymous reviewers seeking constructive criticism and editors make a decision on whether publication is appropriate. In Open Review, manuscripts are sent to reviewers. If the paper is considered original and technically sound, the article, the reviewer''s comments and the author''s reply are published alongside the names of all involved. This way, Papers in Physics promotes the open discussion of controversies among specialists that are of help to the reader and to the transparency of the editorial process. Moreover, our reviewers receive their due recognition by publishing a recorded citable report. Papers in Physics publishes Commentaries from the reviewer(s) if major disagreements remain after exchange with the authors or if a different insight proposed is considered valuable for the readers.
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