TECHNICAL PAPERS
Apr 1, 1998

Threshold between Smooth and Wavy Laminar Sheet Flow

Publication: Journal of Engineering Mechanics
Volume 124, Issue 4

Abstract

A numerical and experimental investigation of roughness effects on thin laminar fluid films is described. The flow considered is pressure driven in an essentially two-dimensional channel between a flat wall and a wavy one. Conclusions, based on finite-element method solutions of the applicable equations of motion and substantiated by experimental findings, lead to the definition of a comprehensive friction index. This generalized friction coefficient appears to properly sense the microinertial influence of surface irregularities on the flow and allows the design of a “sensitivity parameter” for quantifying the threshold between hydrodynamically smooth and hydrodynamically wavy laminar sheet flow. Among relevant technical areas, this matter is of importance in hydrodynamic lubrication where it may determine the limit of the applicability of the classical Reynolds equation.

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References

1.
Azzam, M. I. S., and Dullien, F. A. L.(1977). “Flow in tubes with periodic step changes in diameter: a numerical solution.”Chemical Engrg. Sci., 32, 1445–1455.
2.
Christensen, H. (1969). “Stochastic models for hydrodynamic lubrication on rough surfaces.”Proc., Instn. Mech. Engrs., London, U.K., 184(55), Part I, 1013–1022.
3.
Deiber, J. A., and Schowalter, W. R.(1979). “Flow through tubes with sinusoidal axial variations in diameter.”AIChE J., 25(4), 638–645.
4.
Dowson, D. (1979). History of tribology. Longman's, London, U.K.
5.
Elrod, H.(1979). “A general theory for laminar lubrication with Reynolds roughness.”J. Lubrication Technol., 101(1), 8–14.
6.
Hata, H., Nakahara, T., and Aoki, H. (1980). “Measurement of friction in slightly loaded hydrodynamic sliders with striated roughness.”Surface roughness effects in hydrodynamic and mixed lubrication, S. M. Rohde and H. S. Cheng, eds., ASME Press, New York, N.Y., 75–92.
7.
Hu, J. (1997). “Experimental and theoretical investigation of roughness effects on laminar thin fluid films,” PhD thesis, University of Toronto, Toronto, Canada.
8.
Hu, J., and Leutheusser, H. J. (1997). “Micro-inertia effects in laminar thin-film flow past a sinusoidal boundary.”J. Tribology, 119(1), 211– 216.
9.
Jeng, Y. R.(1990). “Experimental study of the effects of surface roughness on friction.”Tribology Trans., 33, 403–410.
10.
Patel, V. C., Chon, J. T., and Yoon, J. Y.(1991). “Laminar flow over wavy walls.”J. Fluids Engrg., 113, 574–578.
11.
Patir, N., and Cheng, H. S.(1978). “An average flow model for determining effects of three-dimensional roughness of partial hydrodynamic lubrication.”J. Lubrication Technol., 100(1), 12–17.
12.
Russ, G., and Beer, H.(1997a). “Heat transfer and flow field in a pipe with sinusoidal wavy surface. I: Numerical investigation.”Int. J. Heat Mass Transfer, 40(5), 1061–1070.
13.
Russ, G., and Beer, H.(1997b). “Heat transfer and flow field in a pipe with sinusoidal wavy surface. I: Experimental investigation.”Int. J. Heat Mass Transfer, 40(5), 1071–1081.
14.
Serbetci, I., and Tichy, J. A.(1991). “Inertial effects in thin film flow with a corrugated boundary.”J. Appl. Mech., 58, 272–277.
15.
Spragg, A. Z., and Whitehouse, D. J.(1970). “A new unified approach to surface metrology.”Proc., Instn. Mech. Engrs., London, U.K., 185, 697–707.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 124Issue 4April 1998
Pages: 371 - 376

History

Published online: Apr 1, 1998
Published in print: Apr 1998

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Authors

Affiliations

Jin Hu
Sr. Analyst, Aerodynamics, Pratt & Whitney Canada, 22CE1, 1801 Courtneypark Dr. E., Mississauga, Ont., Canada L5T 1J3.
Hans J. Leutheusser, Life Member, ASCE
Prof., Dept. of Mech. and Industrial Engrg., Univ. of Toronto, Toronto, Ont., Canada M5S 3G8.

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