Chebyshev collocation analysis of axisymmetric flow and heat transfer between counter-rotating disks

Journal of Fluids Engineering, Transactions of the ASME

Volumn 119, Issue 4, 1997, Pages 940-947

  Hill, R W ^a   Ball, K S ^a  

^a The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEBYSHEV APPROXIMATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; REYNOLDS NUMBER; ROTATING DISKS; SPECTRUM ANALYSIS; TRANSITION FLOW; TURBULENT FLOW; UNSTEADY FLOW;

POISSON INFLUENCE MATRIX;

HEAT TRANSFER;

EID: 0031375004     PISSN: 00982202     EISSN: 1528901X     Source Type: Journal    
DOI: 10.1115/1.2819521     Document Type: Article

References (21)

1. Batchelor, G. K., 1951, “Note on a Class of Solutions of the Navier-Stokes Equations Representing Steady Rotationally-Symmetric Flow,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 4, pp. 29-41.
2. Bird, R. B., Stewart, W. E., and Lightfoot, E. N., 1960, Transport Phenomena, Wiley, New York.
3. Canuto, C., Hussaini, M. Y., Quateroni, A., and Zang, T. A., 1988, Spectral Methods in Fluid Dynamics, Springer, New York.
4. Drazin, P. G., and Reid, W. H., 1981, Hydrodynamic Stability, Cambridge, New York.
5. Gan, X., Kilic, M., and Owen, J. M., 1994, “Superposed Flow Between Two Discs Comrarotating at Differential Speeds,” International Journal of Heat and Fluid Flow. Vol. 15, pp. 438-446.
6. Haidvogel, D. B., and Zang, T. A., 1979, “The Accurate Solution of Poisson’s Equation by Expansion in Chebyshev Polynomials,” Journal of Computational Physics, Vol. 30, pp. 167-180.
7. Holodniok, M., Kubicek, M., and Hlavacek, V., 1977, “Computation of the Flow Between Two Rotating Coaxial Disks,” Journal of Fluid Mechanics, Vol. 81, pp. 689-699.
8. Holodniok, M., Kubicek, M., and Hlavacek, V., 1981, “Computation of the Flow Between Two Rotating Coaxial Disks: Multiplicity of Steady-State Solutions,” Journal of Fluid Mechanics, Vol. 108, pp. 227-240.
9. Humphrey, J. A. C. and Gor, D., 1993, “Experimental Observations of an Unsteady Detached Shear Layer in Enclosed Corotating Disk Flow,” Physics of Fluids A, Vol. 5, pp. 2438-2442.
10. Humphrey, J. A. C, Schuler, C. A., and Webster, D. R., 1995, “Unsteady Laminar Flow Between a Pair of Disks Corotating in a Fixed Cylindrical Enclosure,” Physics of Fluids A, Vol. 7, pp. 1225-1240.
11. Iglesias, I. and Humphrey, J. A. C. 1996, “Two-and Three-Dimensional Laminar Flows Between Disks Corotating in a Fixed Cylindrical Enclosure,” Proceedings of the ASME Fluids Engineering Division, FED-Vol. 242, O. K. Rediniotis et al., eds., ASME, New York, pp. 291-304.
12. Kilic, M., Gan, X., and Owen, J. M., 1994, “Transitional Flow Between Contra-Rotating Disks,” Journal of Fluid Mechanics, Vol. 281, pp. 119-135.
13. Kleiser, L. and Shumann, U., 1980, Notes on Numerical Fluid Mechanics, E. H. Hirschel, ed., Vieweg, Graunschweig, pp. 165-173.
14. Madabhushi, R. K., Balachandar, S., and Vanka, S. P., 1993, “A Divergence-Free Chebyshev Collocation Procedure for Incompressible Flows With Two Non-Periodic Directions,” Journal of Computational Physics. Vol. 105, pp. 199-206.
15. Manneville, P., 1990, Dissipative Structures and Weak Turbulence, Academic, New York.
16. Sirovich, L., 1987, “Turbulence and the Dynamics of Coherent Structures: Part II: Symmetries and Transformations,” Quarterly of Applied Mathematics, Vol. XLV, No. 3, pp. 573-582.
17. Stewartson, K., 1953, “On the Flow Between Two Rotating Coaxial Disks,” Proceedings of the Cambridge Philosophical Society, Vol. 49, pp. 333-341.
18. Szeri, A. Z., Schneider, S. J., Labbe, F., and Kaufman, H. N., 1983, “Flow Between Rotating Disks. Part I. Basic Flow,” Journal of Fluid Mechanics, Vol. 134, pp. 103-131.
19. Szeri, A. Z., Giron, A., Schneider, S. J., and Kaufman, H. N., 1983, “Flow Between Rotating Disks. Part 2. Stability,” Journal of Fluid Mechanics, Vol. 134, pp. 133-154.
20. Tuckerman, L. S., 1989, “Divergence-Free Velocity Fields in Nonperiodic Geometries,” Journal of Computational Physics, Vol. 80, pp. 403-441.
21. Yang, H. H., and Shlzgal, B., 1994, “Chebyshev Pseudospectral Multi-Domain Technique for Viscous Flow Calculation,” Computer Methods in Applied Mechanics and Engineering, Vol. 118, pp. 47-61.