Wall effects in two-dimensional axisymmetric flow over a circular disk oriented normal to flow in a cylindrical tube

Canadian Journal of Chemical Engineering

Volumn 83, Issue 3, 2005, Pages 450-457

  Nitin, S ^a   Chhabra, R P ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Disk; Drag; Reynolds number; Wall effect

Indexed keywords

CONFINED FLOW; CYLINDERS (SHAPES); DISKS (MACHINE COMPONENTS); DRAG; REYNOLDS NUMBER; WALL FLOW;

CYLINDRICAL WALLS; DISK; FLOW CONDITIONS; WALL EFFECT;

AXIAL FLOW;

AXISYMMETRIC FLOW; DRAG; FLOW OVER SURFACE; TWO-DIMENSIONAL FLOW;

EID: 26044470878     PISSN: 00084034     EISSN: None     Source Type: Journal    
DOI: 10.1002/cjce.5450830307     Document Type: Article

References (31)

1. Brenner, H., "Effect of Finite Boundaries on the Stokes Resistance of an Arbitrary Particle," J. Fluid Mech. 12, 35-48 (1962).
2. Chhabra, R. P., "Bubbles, Drops and Particles in Non-Newtonian Fluids," CRC Press, Boca Raton, FL (1993).
3. Chhabra, R. P., "Wall Effect on Free Settling Velocity of Non-Spherical Particles in Viscous Media in Cylindrical Tubes," Powder Technol. 85, 83-90 (1995).
4. Chhabra, R. P., "Wall Effect on Terminal Velocity of Non-Spherical Particles in non-Newtonian Polymer Solutions," Powder Technol. 88, 39-44 (1996).
5. Chhabra, R. P., "Wall Effect on Spheres Falling Axially in Cylindrical Tubes," Transport Processes in Bubbles, Drops and Particles," Chapter 13, Taylor and Francis, New York, NY (2002).
6. Chhabra, R. P., S. Agarwal and K. Chaudhary, "A Note on Wall Effect on the Terminal Falling Velocity of a Sphere in Quiescent Newtonian Media in Cylindrical Tubes," Powder Technol. 129, 53-58 (2003).
7. Chhabra, R. P., A. McKay and P. Wong, "Drag on Disks and Square Plates in Pseudoplastic Polymer Solutions," Chem. Eng. Sci. 51, 5353-5356 (1996a).
8. Chhabra, R. P., P. H. T. Uhlherr and J. F. Richardson., "Some Further Observations on the Hindered Settling Velocity of Spheres in the Inertial Flow Regime," Chem. Eng. Sci. 51, 4531-4532 (1996b).
9. Clift, R., J. Grace and M. Weber, "Bubbles, Drops and Particles," Academic Press, New York, NY (1978).
10. 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 A2, 301-312 (1990).
11. Dugdale, D. S., "Viscous Flow through a Sharp-Edged Orifice," Int. J. Eng. Sci. 35, 725-729 (1997).
12. Field, S. B., M. Klaus, M. G. Moore and F. Nori, "Chaotic Dynamics of Falling Disks," Nature 388, 252-254 (1997).
13. Kehlenbeck, R. and R. DiFelice, "Empirical Relationships for the Terminal Settling Velocity of Spheres in Cylindrical Columns," Chem. Eng. Technol. 21, 303-308 (1999).
14. Michael, P., "Steady Motion of a Disk in a Viscous Fluid," Phys. Fluids 9, 466-471 (1966).
15. Munshi, B., R. P. Chhabra and P. S. Ghoshdastidar, "A Numerical Study of Steady Incompressible Newtonian Fluid Flow over a Disk at Moderate Reynolds Numbers," Can. J. Chem. Eng. 77, 113-118 (1999).
16. Overbeck, A., "Ueber Stationare Flussigkeitsbewegung mit Berucksichtigung der Inneren Reibung," Grelles J. 81, 62 (1876).
17. Pulley, J. W., R. G. Hussey and A. M. J. Davis, "Low Nonzero Reynolds Number Drag of a Thin Disk Settling Axisymmetrically within a Cylindrical Outer Boundary," Phys. Fluids 8, 2275-2283 (1996).
18. Rami, K., R. P. Chhabra and J. F. Richardson, "Drag on Disks and Square Plates in Newtonian and Power Law Fluids," Proc. 10th Int. Conf. On Transportation and Sedimentation of Solid Particles, Wroclaw, Poland (2000) pp. 366-380,
19. Roos, F. W. and W. W. Willmarth, "Some Experimental Results on Spheres and Disk Drag," AIAA Journal 9, 285-291 (1971).
20. Schmiedel, J., "Experimentelle Untersuchungen uber die Fallbewegung von Kuglen und Scheiben in Reibender Flussigkeiten," Phys. Z. 29, 593-609 (1928).
21. Shail, R. and D. J. Norton, "On the Slow Broadside Motion of a Thin Disk Along the Axis of a Fluid-Filled Circular Duct," Proc. Camb. Phil. Soc. 65, 793-802 (1969).
22. Squires, L. and W. Squires Jr., "The Sedimentation of Thin Discs," Trans. AIChE. 33, 1-17 (1937).
23. Trahan, J. F., R. F. Folse and R. G. Hussey, "Combined Side Wall and Bottom Wall Effects on the Stokes Velocity of a Disk Moving Broadside," Phys. Fluids A1, 1625-1631 (1989).
24. Trahan, J. F., E. G. Wehbeh and R. G. Hussey, "The Limits of Lubrication Theory for a Disk Approaching Parallel Plane Wall," Phys. Fluids 30, 939-943 (1987).
25. Uhlherr, P. H. T. and R. P. Chhabra, "Wall Effect for the Fall of Spheres in Cylindrical Tubes at High Reynolds Numbers," Can. J. Chem. Eng. 73, 918-923 (1995).
26. Ui, T. J., R. G. Hussey and R. P. Roger, "Stokes Drag on a Cylinder in Axial Motion," Phys. Fluids 27, 787-795 (1984).
27. Wang, C. Y., "Settling of Discs Inside a Vertical Fluid-Filled Tube," App. Sci. Res. 56, 43-51 (1996).
28. Wham. R. M., O. A. Basaran and C. H. Byers, "Wall Effects on Flow Past Solid Spheres at Finite Reynolds Numbers," Ind. Eng. Chem. Res. 35, 864-874 (1996).
29. Willmarth, W. W., N. E. Hawk and R. L. Harvey, "Steady and Unsteady Motions and Wakes of Freely Falling Disks," Phys. Fluids 7, 197-208 (1964).
30. Zimmerman, W. B., "The Drag on Sedimenting Discs in Broadside Motion in Tubes," Int. J. Eng. Sci. 40, 7-22 (2002).
31. Zimmerman, W. B., "Process Modelling and Simulation with Finite Element Methods," World Scientific, Singapore (2004).