Engineering Transactions, 22, 1, pp. 125-142, 1974

Dyfuzja od Źródła Punktowego w Kanale Otwartym

W. Czernuszenko

Poland

The paper contains the analysis of the process of mass transport of the indicator flowing out from the point source placed in an open channel. The flow is turbulent and the channel is wide enough to disregard the influence of its walls on the transport process. Parabolic equation of turbulent diffusion is used and solved under the assumption of totaI reflection of the diffusing mass at the free water surface. The solution is discussed for various positions of the point source, the influence of free water surface on the transport process being considered. The results are verified by means of a physical model  a concrete channel with flowing water. The diffusing mass was represented by the water solution of B rhodamine introduced into the flow at a rate corresponding to the average velocity of water. Its concentration was measured by fluorimetric methods. Results of the investigations may found an application in various practical problems connected with water pollution.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

H. S. CARSLAW, J. C. JAEGER, Conduction of heat in solids, London 1959.

J. CRANCK, The mathematics of diffusion, London 1956.

W. CZERNUSZENKO, Badanie dyfuzji strumienia w dwuwymiarowym kanale otwartym, Wiad. Sł. Hydrol., 4, 3-4, 1968.

W. CZERNUSZENKO, Badanie procesu mieszania w szerokim kanale prostokątnym, Wiad. Sł. Hydrol., 7, 3, 1971.

J. W. ELDER, The dispersion of marked fluid in turbulent shear flow, J. Fluid Mechanics, 5, 1959,

F. N. FRENKIEL, Turbulent diffusion. Mean concentration distribution in a flow field of homo­geneous turbulence, Adv. Appl. Mech., 3, 1953.

J. O. HINZE, Turbulence, New York 1959.

Y. IWASA, H. IMAMOTO, Some features of turbulent diffusion processes in open channel flows, Memoirs of the faculty of Eng. Kyoto Univ., 28, p. 1, 1966.

ISO/TC30/SC1/GT4/ Francja 11. Mierzenie natężenia przepływu metodą rozcieńczania. Zastosowanie rodaminy B.

M. KRZYŻAŃSKI, Równania różniczkowe cząstkowe, t. II, Warszawa 1957.

J. LAUFER, Investigation of turbulent in a two-dimensional channel, NACA, rep. 1053, 1951.

[in Russian]

[in Russian]

[in Russian]

[in Russian]

D. W. FEUERSTEIN, R. E. SELLECK, Fluorescent tracer for dispersion measurements, J. Sanitary Eng. Div., SA4, 1963.

G. I. TAYLOR, Diffusion by continuous movements, Proc. London Math. Soc., 20, 1921.

G. I. TAYLOR, The dispersion of matter in turbulent flow through a pipe, Proc. Royal Soc. London, 223, A, 1954.