Friction matrix for two spherical particles with hydrodynamic interaction
作者： R. Schmitz , B.U. Felderhof
DOI: 10.1016/0378-4371(82)90008-5
关键词: Mechanics 、 Matrix (mathematics) 、 Physics 、 Particle 、 Classical mechanics 、 Torque 、 Flow (mathematics) 、 Dipole 、 Compressibility 、 Stokes flow 、 Flow pattern
摘要: Abstract We solve the creeping flow equations for two spherically symmetric particles immersed in an incompressible fluid. The pattern outside is analyzed a two-center expansion of spherical waves scattered from each particles. Hence we construct friction matrix which relates forces, torques and force dipole moments to imposed velocities their linear derivatives at particle centers.
harvard.edu
elsevier.com
sci-hub.se 参考文章(12)
H. Brenner, The Stokes resistance of an arbitrary particle—II: An extension Chemical Engineering Science. ,vol. 19, pp. 599- 629 ,(1964) , 10.1016/0009-2509(64)85051-X
W. N. Bailey, E. W. Hobson, The theory of spherical and ellipsoidal harmonics The Mathematical Gazette. ,vol. 16, pp. 214- ,(1932) , 10.2307/3607762
John Happel, Howard Brenner, Low Reynolds number hydrodynamics ,(1965)
A. R. Edmonds, Angular Momentum in Quantum Mechanics ,(1957)
B.U. Felderhof, Force density induced on a sphere in linear hydrodynamics: I. Fixed sphere, stick boundary conditions Physica A-statistical Mechanics and Its Applications. ,vol. 84, pp. 557- 568 ,(1976) , 10.1016/0378-4371(76)90104-7
B.U. Felderhof, Hydrodynamic interaction between two spheres Physica A-statistical Mechanics and Its Applications. ,vol. 89, pp. 373- 384 ,(1977) , 10.1016/0378-4371(77)90111-X
R. Schmitz, B.U. Felderhof, Creeping flow about a spherical particle Physica A: Statistical Mechanics and its Applications. ,vol. 113, pp. 90- 102 ,(1982) , 10.1016/0378-4371(82)90007-3
P. Reuland, B.U. Felderhof, R.B. Jones, Hydrodynamic interaction of two spherically symmetric polymers Physica A-statistical Mechanics and Its Applications. ,vol. 93, pp. 465- 475 ,(1978) , 10.1016/0378-4371(78)90167-X
L. C. Biedenharn, J.‐M. Normand, A Lie group, rotations in quantum mechanics ,(1980)
R.B. Jones, Hydrodynamic interaction of two permeable spheres I: The method of reflections Physica A-statistical Mechanics and Its Applications. ,vol. 92, pp. 545- 556 ,(1978) , 10.1016/0378-4371(78)90150-4