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<br />. <br /> <br />670 <br /> <br />HYDRAULIC ENGINEERING '94 <br /> <br /> <br />Figure 1: Very steep torrent reach with many cascades. <br /> <br /> <br />Figure 2: Torrent reach without many cascades. <br /> <br />. <br /> <br />. <br /> <br />MEAN VELOCITY-NEW I'ORMULA <br /> <br />671 <br /> <br />S. Application ror the proposed rormula <br />Flood and pollution control are of increasing interest. Fonnulas as presented in <br />this paper are efficienl and helpfull tools in practice and research. In particullrr. the <br />derived fonnula should be used for the estimation of stream velocity as a mean value <br />or of the function of watershed characteristics over long reaches. <br /> <br />6. Future research <br />For Cunher research, most progress can be expected from the development of <br />automatic dilUlion measurements which should be triggered for certain water levels. <br />To improve the theoretical assumptions, the combination of the fractal concepts with <br />the velocity measuremenls in different river basins seems to be the most promising <br />approach. <br /> <br />Appendix A. Rererences <br />Aron, G., Smith, T. A., Knipe, D. Bo, 1990: A Fractal Concept in Stream, Swale and <br />Sheet Flow.I'mc. of the 1990 ASCE National Conference on Hydrafllic Engineering. <br />Sessions on Ilydraulics of Mountain Rivers, San Diego, California, pp. 157 - 162. <br />ATon, G., Ball, Jo Eo, 1991: Fractal Concept used in Time-of-Concentration <br />Estimales. J.lrrig. and Drain. Div., ASCE, 117(5),pp. 635-041. <br />Grunow, 1/. G., 1986: Die tmtomatische Messung van Fliesszeiten und die <br />Bestimmung von Fliessgeschwindigkeiten in 8ergbdchen. Vermessung. Photo- <br />grammelrie, Kullurtechnik, 12/86, pp, 041 - 045. <br />Hodel, lip., Kersten, Th., SIort:Mlleg,er, I., 1994: A New Approach for the <br />Estimation of Extreme Roughnes.t in Torrents by Hydraulic and Photogrammetry. <br />Proceedings of the /994 ASCE National Conference on Hydraulic Engineering, <br />Sessions on Hydraulics o/mountain rivers, Buffalo, New York, USA. <br />lIodel, lip., 1993: Untersuchung zur Geomorphologie, der Rauheit, de" <br />.\rriimungswiderstandes und des Abflussvorganges in Bergbdchen. Dissertation Jer <br />EfH-Zurich, Nr, 9830, <br />Krllerhals, R., 1970: Runoff Rouling Through Sleep Natural Channel.<. J, <br />Hydraulics Div" vol. 6, ASCE, pp. 2201-2217. <br />Kirpich, Z. P., 1940: Time of Concentration of Small Agricultural Watershed. Civil <br />Eng (N.Y,), vol. /0, nf}. 6, p, 362. <br />SlorcAenegger, I.,. 1984: Orts- und ereignisbeschreibende Parameter fur Nieder- <br />schlag-Abfluss-Modelle. Dissertation der f.TII Urich, Nr. 7479. <br /> <br />Appendix B. Notation <br />The following symboh are used in this paper: <br />a, IJ filled l'Oefficients <br />A cross-section area of flow <br />C channel characterislics (shape. slope) <br />J slope or the channel <br />Q discharge <br />Q, rererence discharge <br />v mean velocily <br />x now palh Ihrough stream network <br /> <br />........ <br />