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TECHNICAL NOTES

Viscous Dissipation in Finite Thin-Gap Couette Devices

[+] Author and Article Information
Michael C. Wendl

Research Associate and Affiliate Professor, School of Medicine and Department of Mechanical Engineering, Washington University, 4444 Forest Park Blvd., Box 8501, Saint Louis, MO 63108 e-mail: mwendl@watson.wustl.edu

Ramesh K. Agarwal

The William Palm Professor, Department of Mechanical Engineering, Washington University, 1 Brookings Drive, Box 1185, Saint Louis, MO 63130

J. Heat Transfer 124(1), 200-203 (Jun 25, 2001) (4 pages) doi:10.1115/1.1418373 History: Received July 27, 2000; Revised June 25, 2001
Copyright © 2002 by ASME
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References

Taylor,  G. I., 1923, “Stability of a Viscous Liquid Contained Between Two Rotating Cylinders,” Philos. Trans. R. Soc. London, Ser. A, 223, pp. 289–343.
Kobayashi,  H., Nashima,  T., Okamoto,  Y., and Kaminaga,  F., 1991, “End Effect in a Coaxial Cylindrical Viscometer,” Rev. Sci. Instrum., 62, pp. 2748–2750.
Ameer,  G. A., Barabino,  G., Sasisekharan,  R., Harmon,  W., Cooney,  C. L., and Langer,  R., 1999, “Ex Vivo Evaluation of a Taylor–Couette Flow, Immobilized Heparinase I Device for Clinical Application,” Proc. Natl. Acad. Sci. U.S.A., 96, pp. 2350–2355.
Criminale,  W. O., Jackson,  T. L., Lasseigne,  D. G., and Joslin,  R. D., 1997, “Perturbation Dynamics in Viscous Channel Flows,” J. Fluid Mech., 339, pp. 55–75.
Nagata,  M., 1997, “Three-Dimensional Traveling-Wave Solutions in Plane Couette Flow,” Phys. Rev. E, 55, pp. 2023–2025.
Waleffe,  F., 1997, “On a Self-Sustaining Process in Shear Flows,” Phys. Fluids, 9, pp. 883–900.
Yueh,  C.-S., and Weng,  C.-L., 1996, “Linear Stability Analysis of Plane Couette Flow With Viscous Heating,” Phys. Fluids, 8, pp. 1802–1813.
Davis,  S. H., Kreigsmann,  G. A., Laurence,  R. L., and Rosenblat,  S., 1983, “Multiple Solutions and Hysteresis in Steady Parallel Viscous Flows,” Phys. Fluids, 26, pp. 1177–1182.
Johns,  L. E., and Narayan,  R., 1997, “Frictional Heating in Plane Couette Flow,” Proc. R. Soc. London, Ser. A, 453, pp. 1653–1670.
Caridis,  K. A., Louwagie,  B., and Papathanasiou,  T. D., 1997, “Viscous Heating in Planar Couette Flow: Series Solutions for Temperature-Sensitive Fluids,” J. Chem. Eng. Jpn., 30, pp. 123–136.
Bird, R. B., Armstrong, R. C., and Hassager, O., 1977, Dynamics of Polymeric Liquids, Wiley, New York.
Benjamin,  T. B., 1978, “Bifurcation Phenomena in Steady Flows of a Viscous Fluid II. Experiments,” Proc. R. Soc. London, Ser. A, 359, pp. 27–43.
Benjamin,  T. B., and Mullin,  T., 1981, “Anomalous Modes in the Taylor Experiment,” Proc. R. Soc. London, Ser. A, 377, pp. 221–249.
Aitta,  A., Ahlers,  G., and Cannell,  D. S., 1985, “Tricritical Phenomena in Rotating Couette-Taylor Flow,” Phys. Rev. Lett., 54, pp. 673–676.
Berker, R., 1963, “Intégration des équations du mouvement d’un fluide visqueux incompressible,” in Handbuch der Physik, Vol. VIII/2, S. Flügge, ed., Springer-Verlag, Berlin, pp. 1–384.
Schlichting, H., 1979, Boundary Layer Theory, McGraw-Hill, New York.
Cotta, R. M., 1993, Integral Transforms in Computational Heat and Fluid Flow, CRC Press, Boca Raton.
Wendl,  M. C., 1999, “General Solution for the Couette Flow Profile,” Phys. Rev. E, 60, pp. 6192–6194.
Özişik, M. N., 1980, Heat Conduction, Wiley, New York.
Sokolnikoff, I. S., and Sokolnikoff, E. S., 1941, Higher Mathematics for Engineers and Physicists, McGraw-Hill, New York.
Roache,  P. J., 1997, “Quantification of Uncertainty in Computational Fluid Dynamics,” Annu. Rev. Fluid Mech., 29, pp. 123–160.

Figures

Grahic Jump Location
Thermal shape profiles (T/Br) at the device centerline (z=ϕ/2) for aspect ratios 1/2, 1, 2, and ∞
Grahic Jump Location
Convergence rate of velocity and temperature profiles at the device centerline (z=ϕ/2) to their one-dimensional forms. Dashed line represents coincident contours for temperature at Br=5.5 and velocity
Grahic Jump Location
Map of parameter space denoting shaded region where idealized theory is permitted within bounds of a 10−5 r.m.s. error tolerance

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