The motion of a deformable drop in a second-order fluid
作者： P. C.-H. Chan , L. G. Leal
DOI: 10.1017/S0022112079000562
关键词: Mechanics 、 Hagen–Poiseuille equation 、 Drop (liquid) 、 Second-order fluid 、 Pressure drop 、 Simple shear 、 Particle velocity 、 Shear flow 、 Viscoelasticity 、 Physics
摘要: The cross-stream migration of a deformable drop in unidirectional shear flow second-order fluid is considered. Expressions for the particle velocity due to separate effects deformation and viscoelastic rheology are obtained. direction magnitude calculated particular cases Poiseuille simple compared with experimental data.
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sci-hub.se 参考文章(21)
H.L Goldsmith, S.G Mason, The flow of suspensions through tubes. I. Single spheres, rods, and discs Journal of Colloid Science. ,vol. 17, pp. 448- 476 ,(1962) , 10.1016/0095-8522(62)90056-9
John Happel, Howard Brenner, Low Reynolds number hydrodynamics ,(1965)
G. S. Beavers, D. D. Joseph, The rotating rod viscometer Journal of Fluid Mechanics. ,vol. 69, pp. 475- 511 ,(1975) , 10.1017/S002211207500153X
John G. Brodnyan, F. H. Gaskins, W. Philippoff, On Normal Stresses, Flow Curves, Flow Birefringence, and Normal Stresses of Polyisobutylene Solutions. Part II. Experimental Journal of Rheology. ,vol. 1, pp. 109- 118 ,(1957) , 10.1122/1.548811
A. Karnis, S. G. Mason, Particle Motions in Sheared Suspensions. XIX. Viscoelastic Media Transactions of the Society of Rheology. ,vol. 10, pp. 571- 592 ,(1966) , 10.1122/1.549066
N. A. Frankel, Andreas Acrivos, The constitutive equation for a dilute emulsion Journal of Fluid Mechanics. ,vol. 44, pp. 65- 78 ,(1970) , 10.1017/S0022112070001696
P. C.-H. Chan, L. G. Leal, A note on the motion of a spherical particle in a general quadratic flow of a second-order fluid Journal of Fluid Mechanics. ,vol. 82, pp. 549- 559 ,(1977) , 10.1017/S0022112077000834
R.G. Cox, H. Brenner, The lateral migration of solid particles in Poiseuille flow — I theory Chemical Engineering Science. ,vol. 23, pp. 147- 173 ,(1968) , 10.1016/0009-2509(68)87059-9
B. P. Ho, L. G. Leal, Inertial migration of rigid spheres in two-dimensional unidirectional flows Journal of Fluid Mechanics. ,vol. 65, pp. 365- 400 ,(1974) , 10.1017/S0022112074001431
F. Gauthier, H. L. Goldsmith, S. G. Mason, Particle Motions in Non‐Newtonian Media. II. Poiseuille Flow Transactions of the Society of Rheology. ,vol. 15, pp. 297- 330 ,(1971) , 10.1122/1.549212