Drag and torque on a slowly translating disk in a rotating fluid; effects of a plane wall, another disk or a side wall

Chemical Engineering Communications

Volumn 148-50, Issue , 1996, Pages 239-258

  Davis, A M J ^a  

^a UNIVERSITY OF ALABAMA   (United States)

Author keywords

Drag; Rotating fluid; Torque; Translating disk

Indexed keywords

ALGEBRA; BOUNDARY LAYER FLOW; DRAG; MATHEMATICAL MODELS; TORQUE;

ASYMMETRIC FLOW; ROTATING FLUID; STOKES DRAG; TAYLOR NUMBER; TRANSLATING DISK;

ROTATIONAL FLOW;

BOUNDARY CONDITIONS; DRAG; ROTATING FLOW; TORQUE;

EID: 0030448467     PISSN: 00986445     EISSN: None     Source Type: Journal    
DOI: 10.1080/00986449608936517     Document Type: Article

References (24)

1. Childress, S., "The slow motion of a sphere in a rotating, viscous fluid", J. Fluid Mech., 20, 305 (1964).
2. Davis, A.M.J. and Brenner, H., "Steady rotation of a tethered sphere at small, non-zero Reynolds and Taylor numbers: wake interference effects on drag", J. Fluid Mech., 168, 151 (1986).
3. Davis, A.M.J., "Stokes drag on a disk sedimenting toward a plane or with other disks; additional effects of a side wall or free surface", Phys. Fluids A 2, 301 (1990).
4. Davis, A.M.J., "The use of disks to approximate finite axisymmetric bodies in Stokes flow", Phys. Fluids A 4, 7 (1992a).
5. Davis, A.M.J., "Drag modifications for a sphere in a rotational motion at small, non-zero Reynolds and Taylor numbers: wake interference and possibly Coriolis effects", J. Fluid Mech. 237, 13 (1992b).
6. Davis, A.M.J., "Stokes drag on a disk sedimenting edgewise toward a plane wall", J. Engng. Math 27, 209 (1993).
7. Goldman, A.J., Cox, R.G. and Brenner, H., "Slow viscous motion of a sphere parallel to a plane wall-I. Motion through a quiescent fluid", Chem. Engng. Sci. 22, 637 (1967).
8. Gradshteyn, I.S. and Ryzhik, I.M., Table of Integrals, Series and Products. Academic Press, London (1980).
9. Greenspan, H.P. The Theory of Rotating Fluids. Breukelen Press (1990).
10. Herron, I.H., Davis, S.H. and Bretherton, F.P., "On the sedimentation of a sphere in a centrifuge", J. Fluid Mech. 68, 209 (1975).
11. Hocking, L.M., Moore, D.W. and Walton, I.C., "The drag on a sphere moving axially in a long rotating container", J. Fluid Mech. 90, 781 (1979).
12. Maxworthy, T., "An experimental determination of the slow motion of a sphere in a rotating, viscous fluid", J. Fluid Mech. 23, 373 (1965).
13. Maxworthy, T., "The flow created by a sphere moving along the axis of a rotating, slightly-viscous fluid", J. Fluid Mech. 40, 453 (1970).
14. Moore, D.W. and Saffman, P.G., "The structure of free vertical shear layers in a rotating fluid and the motion produced by a slowly rising body", Proc. R. Soc. Lond. A 264, 597 (1969).
15. Morrison, J.W. and Morgan, G.W., "The slow motion of a disk along the axis of viscous rotating fluid", Rep. 56207/8. Div. of Appl. Math., Brown University (1956).
16. Shail, R. and Norton, D.J., "On the slow broadside motion of a thin disc along the axis of a fluid-filled circular duct", Proc. Camb. Phil. Soc. 65, 793 (1969).
17. Sneddon, I.N. Mixed Boundary Value Problems in Potential Theory. North Holland Press, Amsterdam (1966).
18. Stewartson, K., "On the slow motion of an ellipsoid in a rotating fluid", Quart. Jl. Mech. Appl. Math. 6, 141 (1952).
19. Tanzosh, J.P and Stone, H.A., "Motion of a rigid particle in a rotating viscous flow: an integral equation approach", J. Fluid Mech. 275, 225 (1993).
20. Tanzosh, J.P. and Stone, H.A., "Transverse motion of a disk through a viscous rotating fluid", J. Fluid Mech. 301, 295 (1995).
21. Taylor, G.I., "The motion of a sphere in a rotating fluid", Proc. R. Soc. Lond. A 102, 180 (1922).
22. Ungarish, M. and Vedensky, D., "The motion of a rising disk in a rotating axially bounded fluid for large Taylor number", J. Fluid Mech. 291, 1 (1995).
23. Vedensky, D. and Ungarish, M., "The motion generated by a slowly rising disk in an unbounded rotating fluid for arbitrary Taylor number", J. Fluid Mech. 262, 1 (1994).
24. Weisenborn, A.J., "Drag on a sphere moving slowly in a rotating viscous fluid", J. Fluid Mech. 153, 215 (1985).