TECHNICAL PAPERS
May 1, 1983

Turbulent Flow Over Undular Permeable Boundaries

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 5

Abstract

The effects of boundary permeability and undulation in turbulent pipe flow are observed in an air flow conduit lined with a granular permeable material. Boundary pressure, mean velocity distribution, and longitudinal turbulence intensity were measured at several sections along the sinusoidal boundary. The observed boundary pressure shows a phase shift relative to the boundary wave form and a magnitude similar to that found from a simple potential flow analysis. The mean velocity distributions differ drastically from those observed in impervious wavy pipes, implying an important effect of the aspiration from the porous boundary in the lee of the wave form. The observations of turbulence intensity show that boundary permeability dramatically alters the turbulence structure as compared to an impervious wavy pipe. In the permeable pipe, a zone of high intensity turbulence develops in the lee of the boundary wave form and expands to the central portion of the pipe. For impervious wavy pipes, the high turbulence intensity occurs only near the boundary as in the case of a straight pipe.

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References

1.
Beavers, G. S., and Joseph, D. D., “Boundary Conditions at a Naturally Permeable Wall,” Journal of Fluid Mechanics, Vol. 30, Part 1, 1967, pp. 197–207.
2.
Benjamin, T. B., “Shearing Flow Over a Wavy Boundary,” Journal of Fluid Mechanics, Vol. 6, 1959, pp. 161–205.
3.
Bradshaw, P., “An Introduction to Turbulence and its Measurement,” Pergamon Press, New York, N.Y., 1971.
4.
Chu, Y. S., and Gelhar, L. W., “Turbulent Pipe Flow with Granular Permeable Boundaries,” Ralph M. Parsons Lab. for Water Resources and Hydrodynamics, Technical Report No. 148, Massachusetts Institute of Technology, Cambridge, Mass., 1972.
5.
Henderson, F. M., “Steady Flow in Sinusoidally Varying Channels,” Hydraulics and Fluid Mechanics, R. Silvester, ed., MacMillan Co., New York, N.Y., 1964, pp. 61–67.
6.
Hinze, J. O., Turbulence, McGraw Hill Book Co., Inc., New York, N.Y., 1959.
7.
Ho, R. T., and Gelhar, L. W., “Turbulent Flow with Wavy Permeable Boundaries,” Journal of Fluid Mechanics, Vol. 58, Part 2, 1973, pp. 403–414.
8.
Ho, R. T., and Gelhar, L. W., “Interaction Between Turbulent Flow and Undular Permeable Boundaries,” Ralph M. Parsons Lab., Report No. 180, Massachusetts Institute of Technology, Cambridge, Mass., 1974.
9.
Hsu, S. T., “Turbulent Flow in Wavy Pipes,” thesis presented to the University of Iowa, at Iowa City, Iowa, in 1968, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
10.
Hsu, S. T., and Kennedy, J. F., “Turbulent Flow in Wavy Pipes,” Journal of Fluid Mechanics, Vol. 47, 1971, pp. 481–502.
11.
Iwasa, Y., and Kennedy, J. F., “Free Surface Shear Flow over a Wavy Bed,” Journal of the Hydraulics Division, ASCE, Vol. 94, No. HY2, Feb., 1968, pp. 431–454.
12.
Kline, S. J., Reynolds, W. C., Schraub, F. A., and Runstadler, P. W., “The Structure of Turbulent Boundary Layers,” Journal of Fluid Mechanics, Vol. 30, 1967, pp. 741–773.
13.
Motzfeld, H., “Die Turbulente Stromung an Welligen Wanden,” Z. angew Math. Mech., Vol. 17, 1937, pp. 193–212.
14.
Munoz‐Goma, R. J., and Gelhar, L. W., “Turbulent Pipe Flow with Rough and Porous Walls,” Hydro Laboratory, Dept. of Civil Engrg., Technical Report No. 109, Massachusetts Institute of Technology, Cambridge, Mass., 1968.
15.
Olsen, R. M., and Eckert, E. R. G., “Experimental Studies of Turbulent Flow in a Porous Circular Tube with Uniform Fluid Injection Through the Tube Wall,” Journal of Applied Mechanics, American Society of Mechanical Engineers, No. E33, 1966, pp. 7–17.
16.
Pennell, W. T., Eckert, E. R. G., and Sparrow, E. M., “Laminarization of Turbulent Pipe Flow by Fluid Injection,” Journal of Fluid Mechanics, Vol. 52, 1972, pp. 451–464.
17.
Ruff, J. F., and Gelhar, L. W., “Turbulent Shear Flow in a Porous Boundary,” Journal of the Engineering Mechanics Division, ASCE, Vol. 98, No. EM4, Aug., 1972, pp. 975–991.
18.
Saffman, J. P., “On the Boundary Condition at the Surface of a Porous Medium,” Studies in Applied Mathematics, Vol. 50, 1971, pp. 93–101.
19.
Schlichting, H., Boundary Layer Theory, 6th ed., McGraw Hill Book Co., Inc., New York, N.Y., 1967.
20.
Sparrow, E. M., Jonasson, V. K., Beaver, G. S., and Owen, R. G., “Incompressible Turbulent Flow in a Permeable‐Walled Duct,” Journal of Basic Engineering, American Society of Mechanical Engineers, Vol. 94D, No. 2, 1972, pp. 314–320.
21.
Taylor, G. I., “A Model for the Boundary Condition of a Porous Material. Part 1,” Journal of Fluid Mechanics, Vol. 49, Part 2, 1971, pp. 319–326.
22.
Tennekes, H., “Similarity Laws for Turbulent Boundary Layers with Suction or Injection,” Journal of Fluid Mechanics, Vol. 21, Part 4, 1965, pp. 689–703.
23.
Wards, J. C., “Turbulent Flow in Porous Media,” Journal of the Hydraulics Division, ASCE, Vol. 90, No. HY5, May, 1964, pp. 1–12.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 5May 1983
Pages: 741 - 756

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Published online: May 1, 1983
Published in print: May 1983

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R. T. Ho
Staff Engr., Exxon Research and Engrg. Co., Florham Park, N.J. 07932
L. W. Gelhar, Members, ASCE
Prof. of Civ. Engrg., Massachusetts Inst. of Tech., Cambridge, Mass. 02139

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