利用颗粒堆积在有限空间内取水规律研究  

Study on the Law of Taking Water in a Limited Space by Using Particle Accumulation

作　　者：于钱米 常丹 YU Qian-mi;CHANG Dan(Ningbo East China Nuclear Industry Survey and Design Institute Group Co.,Ltd,Ningbo 315040,China;School of Civil Engineering,Sun Yat-Sen University,Guangzhou 510275,China)

机构地区：[1]宁波华东核工业勘察设计院集团有限公司,浙江工宁波315040 [2]中山大学土木工程学院,广东广州510275

出　　处：《数学的实践与认识》2024年第3期160-174,共15页Mathematics in Practice and Theory

基　　金：江西省地质局青年科学技术带头人培养计划项目(2022JXDZKJRC07);江西省地质局科技计划项目(2021AA04);国家自然科学基金面上项目(42071078)。

摘　　要：为了探明利用颗粒堆积在有限空间内取水的规律,研究分析了玻璃球堆积体的表观体积、堆积体中已有水体积、颗粒数量、粒组质量和固体颗粒堆积体积对取水过程和结果的影响,深入探讨了不同影响因素条件下取水成功的临界状态.研究发现,有限空间内已有水量越多,投入到容器内的颗粒越小,取到水的可能性越高.颗粒数量和粒组质量的增加会增大取水难度.混合体堆积过程中沿竖直方向做功大于单一粒径粒组的堆积做功.In order to explore the law of using particle stacking to extract water in a limited space,this study analyzed the infuence of the apparent volume of glass ball stacking,existing water volume of glass ball stacking,particle quantity,particle mass,and solid particle stacking volume on the water extraction process and results.The critical state of successful water extraction under different influencing factors was deeply explored.Research has found that the more water there is in a limited space,the smaller the particles put into the container,and the higher the likelihood of obtaining water.The increase in particle quantity and particle mass will make it more difficult to obtain water.During the stacking process of the mixture,the work done in the vertical direction is greater than that of the stacking of a single particle sizegroup.

关 键 词：颗粒学 颗粒堆积 有限空间 孔隙率 粒组 

分 类 号：O347.7[理学—固体力学]