“…Hydraul ic jumps at negative steps rece ived somewhat more attent ion and were analysed by , and his discussers, Rouse , et al(1951) , Ingram, et al(1956), Moore and Morgan (1959) , Spiekermann (1962), Haszpra (1965) , Sharp (1974), Binnie (1975) , Rajaratnam and Ort iz (1977) , Bianchi (1981) , Jagannadha Rao and Srinivasa Rao (1982), , Hager and Bretz (1986), Samad, et al (1986), Ming (1988 , De Marinis (1988) , Matsushita (1988), Kawagoshi and Hager (1990) , and Hager and Kawagoshi (1991) . Peruginelli and Viti (1990) analysed the flow features in a trapezoidal channel for 1 .85~Fl~5 .…”