Two sample applications of a classical isoperimetric problem of the calculus of variations to fluid mechanical problems in fluidization and spouting 被引量：2

Two sample applications of a classical isoperimetric problem of the calculus of variations to fluid mechanical problems in fluidization and spouting

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摘要 This paper is devoted to outlining precisely the basic mathematics of a classical isoperimetric problem of the calculus of variations and showing how significant fluid mechanical problems in fluidization and spouting can be addressed using this approach. This paper is devoted to outlining precisely the basic mathematics of a classical isoperimetric problem of the calculus of variations and showing how significant fluid mechanical problems in fluidization and spouting can be addressed using this approach.

作者 Howard Littman Morris H.Morgan Ⅲ

机构地区 Department of Chemical and Biological Engineering Department of Chemical Engineering

出处《Particuology》 SCIE EI CAS CSCD 2010年第6期503-506,共4页 颗粒学报（英文版）

关键词 Calculus of variations lsoperimetric problems Fluidization Spouting Calculus of variations lsoperimetric problems Fluidization Spouting

分类号 TQ021.1 [化学工程]

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参考文献16

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引证文献2

1Mihal Duris,Zorana Arsenijevic,Radmila Garic-Grulovic,Tatjana Kaluderovic Radoicic.Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles[J].Particuology,2020,18(4):184-192.
2Hamid Reza Nazif,Amir Hossein Javadi,Neda Fallahnezhad.Predicting the Two-Phase Liquid-Solid Drag Model Using the Calculus of Variation[J].Journal of Applied Mathematics and Physics,2018,6(1):103-113.

1PAN ShengLiang,SUN XiaoWei,WANG YouD.A variant of the isoperimetric problem,PartⅠ[J].Science China Mathematics,2008,51(6):1119-1126.
2JIAZU ZHOU.THE PLANE ISOPERIMETRIC PROBLEM FROM THE POINT OFINTEGRAL GEOMETRY[J].黔东南民族职业技术学院学报(综合版),2009(3):1-7.
3Huie Liu Qingiie Guo.Fluidization in combined acoustic-magnetic field for mixtures of ultrafine particles[J].China Particuology,2007,5(1):111-115. 被引量：2
4梁立孚,石志飞.On the Inverse Problem in calculus of Variations[J].Applied Mathematics and Mechanics(English Edition),1994,15(9):815-829.
5Markus,吴忠,刘晓艳.实体结构中疲劳裂纹增长模拟的有限元方法的应用[J].现代冶金（内蒙古）,2005(2):65-70.
6王林翔,R.V.N.梅尔姆克.热弹性动力学耦合问题的微分代数方法[J].应用数学和力学,2006,27(9):1036-1046. 被引量：4
7Bing Ren,Wenqi Zhong,Yu Chen,Xi Chen,Baosheng Jin,Zhulin Yuan,Yong Lu.CFD-DEM simulation of spouting of corn-shaped particles[J].Particuology,2012,10(5):562-572. 被引量：21
8Organized by Fluid and Particie Processing Division, Society of Chemical Engineers, Japan.8^(th) China Japan Symposium on Fluidization: CJF8[J].China Particuology,2003,1(1):43-43.
9YAKUBOV Yakov.Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces.Ⅱ.Application[J].Science China Mathematics,2013,56(1):105-122.
10Lian Hairong,Ge Weigao.CALCULUS OF VARIATIONS WITH DIRICHLET BOUNDARY VALUE PROBLEM FOR PERTURBED SECOND-ORDER DIFFERENTIAL EQUATIONS ON A HALF-LINE[J].Annals of Differential Equations,2006,22(3):323-326.

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Two sample applications of a classical isoperimetric problem of the calculus of variations to fluid mechanical problems in fluidization and spouting 被引量：2

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