Abramowitz, M. & Stegun, I. A.
1964
Handbook of Mathematical Functions,
pp.
803–811. U.S. National Bureau of Standards.
Ashare, E., Bird, R. B. & Lescarboura, J. A.
1965
Falling-cylinder viscometers for non-Newtonian fluids.
AIChE J.
11,
910–916.
Berdan, C. & Leal, L. G.
1984
Motion of a sphere in the presence of a deformable interface. Part 3. An experimental study of translation normal to the interface.
J. Coll. Interface Sci. (in press).
Bowden, F. P. & Lord, R. G.
1963
The aerodynamic resistance to a sphere rotating at high speed.
Proc. R. Soc. Lond. A
271,
143–153.
Brenner, H.
1961
The slow motion of a sphere through a viscous fluid towards a plane surface.
Chem. Engng Sci.
16,
242–251.
Brenner, H.
1964a
Slow viscous rotation of an axisymmetric body in a circular cylinder of finite length.
Appl. Sci. Res. A13,
81–120.
Brenner, H.
1964b
The Stokes resistance of an arbitrary particle II. An extension.
Chem. Engng Sci.
19,
599–629.
Brenner, H. & Leal, L. G.
1978
A micromechanical derivation of Fick's law for interfacial diffusion of surfactant molecules.
J. Colloid Interface Sci.
65,
191–209.
Brenner, H. & Leal, L. G.
1982
Conservation and constitutive equations for adsorbed species undergoing surface diffusion and convection at a fluid-fluid interface.
J. Colloid Interface Sci.
88,
136–184.
Caswell, B.
1970
Effect of finite boundaries on the motion of particles in non-Newtonian fluids.
Chem. Engng Sci.
25,
1167–1176.
Childress S.
1964
The slow motion of a sphere in a rotating viscous fluid.
J. Fluid Mech.
20,
305–314.
Cho, Y. I. & Hartnett, J. P.
1979
Falling ball viscometer — a new instrument for viscoelastic fluids.
Lett. Heat Mass Transfer
6,
335–342.
Cox, R. G. & Brenner, H.
1967a
Effect of finite boundaries on the Stokes resistance of an arbitrary particle. Part 3. Translation and rotation.
J. Fluid Mech.
28,
391–411.
Cox, R. G. & Brenner, H.
1967b
The slow motion of a sphere through a viscous fluid towards a plane surface. II. Small gap widths, including inertial effects.
Chem. Engng Sci.
22,
1753–1777.
Davis, A. M. J. & O'Neill, M. E.1979
Slow rotation of a sphere submerged in a fluid with a surfactant surface layer.
Intl J. Multiphase Flow
5,
413–425.
Davis, P. K.
1965
Motion of a sphere in a rotating fluid at low Reynolds number.
Phys. Fluids
8,
560–567.
Dennis, S. C. R. & Ingham, D. B.
1982
The boundary layer on a fixed sphere on the axis of an unbounded viscous fluid.
J. Fluid Mech.
123,
210–236.
Dennis, S. C. R., Ingham, D. B. & Singh, S. N.
1982
The slow translation of a sphere in a rotating fluid.
J. Fluid Mech.
117,
251–267.
Dennis, S. C. R., Singh, S. N. & Ingham, D. B.
1980
The steady flow due to a rotating sphere at low and moderate Reynolds numbers.
J. Fluid Mech.
101,
257–279.
Falade, A.
1982
Arbitrary motion of an elliptic disk at a fluid interface.
Intl J. Multiphase Flow
8,
543–551.
Fluide, M. J. C. & Daborn, J. E.
1982
Viscosity measurement by means of falling spheres compared with capillary viscometry.
J. Phys. E: Sci. Instrum.
15,
1313–1321
Geils, R. H.
1977
Small-volume inclined falling-ball viscometer.
Rev. Sci. Instrum.
48,
783–785.
Hirschfeld, B. R., Brenner, H. & Falade, A.
1984
First- and second-order wall effects upon the slow viscous asymmetric motion of an arbitrarily-shaped,-positioned and -oriented particle within a circular cylinder.
Physicochem. Hydrodyn.
5,
99–133.
Hocking, L. M., Moore, D. W. & Walton, I. C.
1979
Drag on a sphere moving axially in a long rotating cylinder.
J. Fluid Mech.
90,
781–793.
Jeffery, G. B.
1915
On the steady rotation of a solid of revolution in a viscous fluid.
Proc. Lond. Math. Soc.
14,
327–338.
Kunesh, J. G.
1971
Experiments on the hydrodynamic resistance of translating-rotating particles. Ph.D. thesis, Carnegie-Mellon University.
Lamb, H.
1932
Hydrodynamics, 6th edn,
p.
585.
Cambridge University Press.
Leal, L. G. & Lee, S. H.
1982
Particle motion near a deformable fluid interface.
Adv. Coll. Interface Sci.
17,
61–81.
Majumdar, S. R., O'Neill, M. E. & Brenner, H.1974
Note on the slow rotation of a concave spherical lens or bowl in two immiscible semi-infinite viscous fluids.
Mathematika
21,
147–154.
Maxworthy, T.
1965
An experimental determination of the slow motion of a sphere in a viscous rotating fluid.
J. Fluid Mech.
23,
373–384.
Maxworthy, T.
1970
The flow created by a sphere moving along the axis of a rotating slightly-viscous fluid.
J. Fluid Mech.
40,
453–479.
Mena, B., Levinson, E. & Caswell, B.
1972
Torque on a sphere inside a rotating cylinder.
Z. angew. Math. Phys.
23,
173–181.
Munro, R. G., Piermarini, G. J. & Block, S.
1979
Wall effects in diamond-anvil pressure-cell falling-sphere viscometers.
J. Appl. Phys.
50,
3180–3184.
O'Neill, M. E. & Ranger, K. B.1979
On the rotation of a rotlet or sphere in the presence of an interface.
Intl J. Multiphase Flow
5,
143–148.
Ranger, K. B.
1978
Circular disk straddling the interface of two-phase flow.
Intl J. Multiphase Flow
4,
263–277.
Richardson, P. D.
1976
Flow beyond an isolated rotating disk.
Intl J. Heat Mass Transfer
19,
1189–1195.
Sawatzki, O.
1970
Flow field around a rotating sphere.
Acta Mech.
9,
159–214.
Schneider, J. C., O'Neill, M. E. & Brenner, H.1973
On the slow viscous rotation of a body straddling the interface between two immiscible semi-infinite fluids.
Mathematika
20,
175–196.
Sneddon, I. N.
1951
Fourier Transforms,
p.
516.
McGraw-Hill.
Sonshine, R. M., Cox, R. G. & Brenner, H.
1966
The Stokes translation of a particle of arbitrary shape along the axis of a circular cylinder filled to a finite depth with viscous liquid.
Appl. Sci. Res.
16,
273–300; 325–360.
Taylor, G. I.
1923
The motion of a sphere in a rotating liquid.
Proc. R. Soc. Lond. A
102,
180–189.
Thomas, R. H. & Walters, K.
1964
Motion of elasto-viscous fluid due to sphere rotating about its diameter.
Q. J. Mech. Appl. Maths
17,
39–53.
Walters, K. & Waters, N. D.
1963
On the use of a rotating sphere in the measurement of elasto-viscous parameters.
Brit. J. Appl. Phys.
14,
667–671.
Waters, N. D. & Gooden, D. K.
1980
Couple on a rotating oblate spheroid in an elasto-viscous fluid.
Q. J. Mech. Appl. Maths
33,
189–206.
Wein, O.
1979
Rotational quasi-viscometric flows around a rotating sphere.
J. Non-Newtonian Fluid Mech.
5,
297–313.
