两平行圆盘间或两圆球间存在二阶流体时的挤压流动

徐春晖; 黄文彬; 徐泳

两平行圆盘间或两圆球间存在二阶流体时的挤压流动

中国农业大学理学院,北京 100083

基金项目: 国家自然科学基金资助项目(10372113)

详细信息

作者简介:
徐春晖(1971- ),女,辽宁人,副教授,博士(联系人.Tel:+86-10-62336992;Fax:+86-10-62336777;E-mail:chunhui@cau.edu.cn).

中图分类号: O347.7；O373
计量
- 文章访问数: 2692
- HTML全文浏览量: 136
- PDF下载量: 658
- 被引次数: 0
出版历程
- 收稿日期: 2002-10-25
- 修回日期: 2004-04-20
- 刊出日期: 2004-09-15

Squeeze Flow of a Second-Order Fluid Between Two Parallel Disks or Two Spheres

College of Science, China Agricultural University, Beijing 100083, P. R. China

摘要

摘要: 为了进行湿颗粒群的离散元模拟，研究两圆球颗粒间二阶流体在挤压流动时的法向粘性力．首先用小参数法对两平行圆盘间二阶流体挤压流动的速度场和正应力分布进行了近似分析，然后用类似的方法，分析任意两圆球间二阶流体的挤压流动，得到了压力分布和法向粘性力的解析解．
- 离散元法 /
- 二阶流体 /
- 挤压流动 /
- 法向粘性力 /
- 小参数法
Abstract: The normal viscous force of squeeze flow between two arbitrary rigid spheres with an interstitial second-order fluid was studied for modeling wet granular materials using the discrete element method.Based on the Reynolds.lubrication theory,the small parameter method was introduced to approximately analyze velocity field and stress distribution between the two disks.Then a similar procedure was carried out for analyzing the normal interaction between two nearly touching,arbitrary rigid spheres to obtain the pressure distribution and the resulting squeeze force.It has been proved that the solutions can be reduced to the case of a Newtonian fluid when the non-Newtonian terms are neglected.
- discrete element method /
- second-order fluid /
- squeeze flow /
- normal viscous force /
- small parameter method

HTML全文

参考文献(17)

[1]	Bird R B, Armstrong R C，Hassager O.Dynamics of Polymeric Liquids[M].New York: Wiley,1977,19—21.
[2]	Scott J R. Theory and application of the parallel plate viscometer[J].Trans Inst Rubber Ind,1931,7(2):169—186.
[3]	Davis A M J, Frenkel A L. Cylindrical liquid bridges squeezed between parallel plates: exact Stokes flow solutions and hydrodynamic forces[J].Phys Fluids A,1992,4(6):1105—1109. doi: 10.1063/1.858229
[4]	Smyrnaios D N, Tsamopoulos J A. Squeeze flow of Bingham plastics[J].J Non-Newtonian Fluid Mech,2001,100(19):165—190. doi: 10.1016/S0377-0257(01)00141-0
[5]	Sherwood J D, Durban D. Squeeze-flow of a Herschel-Bulkley fluid[J].J Non-Newtonian Fluid Mech,1998,77(1/2):115—121. doi: 10.1016/S0377-0257(97)00099-2
[6]	Phan-Thien N, Sugeng F,Tanner R I. The squeeze-film flow of a viscoelastic fluid[J].J Non-Newtonian Fluid Mech,1987,24(1):97—119. doi: 10.1016/0377-0257(87)85006-1
[7]	Laun H M, Rady M,Hassager O. Analytical solutions for squeeze flow with partial wall slip[J].J Non-Newtonian Fluid Mech,1999,81(1/2):1—15. doi: 10.1016/S0377-0257(98)00083-4
[8]	XU Chun-hui,HUANG Wen-bin,XU Yong.Squeeze flow of a second-order fluid between two parallel disks with wall slip[J].Transactions of the CSAE,2002,18(5):19—22.
[9]	Adams M J，Edmondson B. Forces between particles in continuous and discrete liquid media[A].In:Briscore B J, Adams M J Eds.Tribology in Particulate Technology,Adam Hilger[C].Bristol,1987,154—172.
[10]	Lian G,Thornton C, Adams M J. A theoretical study of the liquid bridge forces between two rigid spherical bodies[J].Journal of Colloid and Interface Science,1993,161:138—147. doi: 10.1006/jcis.1993.1452
[11]	Rodin G J, Squeeze film between two spheres in a power-law fluid[J].Non-Newtonian Fluid Mech,1996,63(2/3):141—152.
[12]	徐泳，黄文彬，李红艳.圆球颗粒间有幂率流体时挤压流动的法向粘性力[J].农业工程学报，2002,18(2):1—4.
[13]	黄文彬，徐泳，练国平，等.存在滑移时两球间的幂率流体挤压流动[J].应用数学和力学，2002，23(7):722—728.
[14]	陈文芳.非牛顿流体力学[M].北京：科学出版社,1984.
[15]	Leal L G.The slow motion of slender rod-like particles in a second order fluid[J].J Fluid Mech,1975,69(2)：305—337. doi: 10.1017/S0022112075001450
[16]	Giovanni P Galdi. Slow steady fall of rigid bodies in second-order fluid [J].Non-Newtonian Fluid Mech,2001,96(1/2):373—381. doi: 10.1016/S0377-0257(00)00220-2
[17]	Howard H Hu, Daniel D Joseph.Lift on sphere near a plane wall in a second-order fluid[J].Non-Newtonian Fluid Mech,1999,88(1/2):173—184. doi: 10.1016/S0377-0257(99)00013-0

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2692
HTML全文浏览量: 136
PDF下载量: 658
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

两平行圆盘间或两圆球间存在二阶流体时的挤压流动

作者简介:
徐春晖(1971- ),女,辽宁人,副教授,博士(联系人.Tel:+86-10-62336992;Fax:+86-10-62336777;E-mail:chunhui@cau.edu.cn).

计量

Squeeze Flow of a Second-Order Fluid Between Two Parallel Disks or Two Spheres

计量

目录

留言板

两平行圆盘间或两圆球间存在二阶流体时的挤压流动

作者简介: 徐春晖(1971- ),女,辽宁人,副教授,博士(联系人.Tel:+86-10-62336992;Fax:+86-10-62336777;E-mail:chunhui@cau.edu.cn).

计量

出版历程

Squeeze Flow of a Second-Order Fluid Between Two Parallel Disks or Two Spheres

计量

出版历程

目录

作者简介:
徐春晖(1971- ),女,辽宁人,副教授,博士(联系人.Tel:+86-10-62336992;Fax:+86-10-62336777;E-mail:chunhui@cau.edu.cn).