Developing Laminar Power‐Law Fluid Flow in Flat Duct
Publication: Journal of Engineering Mechanics
Volume 110, Issue 5
Abstract
An improved version of momentum‐energy‐integral solution for the developing laminar flow of Power‐law fluids in a flat duct is presented. Closed form expressions for the boundary layer development and entrance region pressure distribution are obtained. Results are illustrated graphically and compared with other integral solutions. Analysis predicts the continuity of the slope of pressure drop‐distance curve at the beginning of the fully developed state.
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References
1.
Campbell, W. D., and Slattery, J. C., “Flow in the Entrance of a Tube,” Journal of Basic Engineering Trans. ASME, Vol. 85D, 1963, pp. 41–46.
2.
Collins, M., and Schowalter, W. R., “Behavior of non‐Newtonian Fluids in the Inlet Length of a Channel,” A.I.Ch.E. Journal, Vol. 9, 1963, pp. 98–102.
3.
Fargie, D. and Martin, B. W., “Developing Laminar Flow in a Pipe of Circular Cross Section,” Proceedings Royal Society London, Vol. 321A, 1971, 461–476.
4.
Gupta, R. C., “Behaviour of Power‐law Fluids in the Inlet Region of a Straight Channel,” International Journal of Non‐linear Mechanics, Vol. 5, 1970, pp. 325–334.
5.
Gupta, R. C., “Laminar Flow in the Hydrodynamic Inlet Region of a Flat Duct,” Archiwum Hydrotechniki, Vol. 23, 1976, pp. 173–178.
6.
Kapur, J. N., “A Note on Boundary Layer Equations for Power‐law Fluids,” Journal Physical Society of Japan, Vol. 18, 1963.
7.
Kapur, J. N., and Gupta, R. C., “Two‐Dimensional Flow of Power‐law Fluids in the Inlet Length of a Straight Channel,” Zeitschrift für Angewandte Mathematik und Mechnik, Vol. 43, No. 3, 1963, pp. 135–141.
8.
Meksyn, D., “New Methods in Laminar Boundary Layer Theory,” 1st ed., Pergamon Press, New York and London, 1961.
9.
Noblesse, F. and Farell, C., “Unsteady Nonuniform Flow in the Entrance of a Pipe,” Journal of Applied Mechanics, Trans ASME, Vol. 40E, 1973, pp. 672–678.
10.
Schiller, L., “Die Entwichklung der laminaren Geschwindig‐keitsverteilung und ihre Bedeutung für Zähigkeitmessungen,” Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 2, 1922, pp. 96–102.
11.
Shah, R. K. and London, A. L., “Laminar Flow Forced Convection in Ducts—A Source Book for Compact Heat Exchanger Analytical Data,” Supplement 1 to Advances in Heat Transfer Series, Academic Press, New York, 1978.
12.
Skelland, A. H., Non‐Newtonian Flow and Heat Transfer, John Wiley & Sons., Inc., New York, 1967.
13.
Volkov, V. N., “A Refinement of the Karman‐Pohlhausen Integral Method in Boundary Layer Theory,” Journal of Engineering Physics, Vol. 9, 1965, pp. 371–374.
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Copyright © 1984 ASCE.
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Published online: May 1, 1984
Published in print: May 1984
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