旋转双球和多球的Stokes流动

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

The Stokes Flow of the Rotating Double Spheres and Multiple Spheres

摘要: 本文首先导出一类新旋转子的表达式.利用该旋转子的迭加,得到了双球和多球同轴旋转时所受的阻力矩,并证明了阻力矩是各球旋转角速度线性函数的结论.

Abstract: In this paper the expressions for a kind of new rotlets in Stokes flow are derived. By means of superposition of this new rotlets, the drag moment for rotating double spheres and multiple spheres along the smae axis are presented. It has been demonstrated that drag moment for each sphere is the linear function of its angular velocity.

[1]	Tuck,E,O.,Some method for flows past blunt slender bodies,J.Fluid Mech.,18(1964),619.
[2]	Batchelor,G.K.,The stress system in a suspension of force-free particles,J.Fluid Mech.,41(1970),545-570.
[3]	Cox,R.G.,The motion of long slender bodies in a viscous fluid,J.Fluid Mech.,44(1970),791-810.
[4]	Weinbaum,S.,Lecture on Mathematics in Life Sciences(1981),114.
[5]	吴望一,解任意形状非细长轴对称体Stokes流动的一种新方法,中国科学,A辑,2 (1984),145-156.
[6]	吴望一、何青,蠕动流中连续奇点线分布法的分段线性近似,应用数学和力学,5,6 (1984),793-800.
[7]	吴望一、王少华,Stokes流动中连续奇点线分布法的分段抛物近似,力学学报,5 (1985),443-453.
[8]	吴望一、朱敏,解任意形状扁轴对称体Stokes流动的离散奇点环形分布法,力学学报,6 (1985)
[9]	朱敏、吴望一,解任意形状扁轴对称体Stokes流动的奇点线分布法,应用数学和力学,6,10(1985).
[10]	林胜天、吴望一,三维Stokes流动的半解析半数值解,空气动力学学报,2 (1986).
[11]	Chwang,A.T.and T.Y.T.Wu,Hydromechanics of low-Reynolds-number flow,J.Fluid Mech.,63(1974),607-622.
[12]	Happel,J.and H.Brenner,Low Reynolods Number Hydro-dynamics,2nd Edition,Noordhoff International Publishing,Leyden(1973).