A B-jump is defined as the jump having the toe section located on a positively sloping upstream channel and the roller end on a downstream horizontal channel. This jump often occurs in the stilling basins with a horizontal bottom and located downstream of a steep channel. For a B-jump, a completely theoretical approach is not sufficient to solve the momentum equation and to establish the sequent depth ratio. In this paper, by using the laboratory measurements carried out in this investigation, some available empirical relationships useful for estimating the sequent depth ratio are tested. Then, by using the Π theorem of the dimensional analysis and the incomplete self-similarity theory, a generalized functional relationship for estimating the sequent depth ratio for different types of jumps is deduced. The estimate of the coefficient appearing in this relationship is dependent on the particular type of jump. In conclusion, the analysis established that the sequent depth ratio for a B-jump depends on a parameter E accounting for the toe section position, the upstream Froude number F1, and the channel slope.

Carollo, F.G., Ferro, V., & Pampalone, V. (2011). Sequent depth ratio of a B- jump. JOURNAL OF HYDRAULIC ENGINEERING, 137(6), 651-658 [10.1061/(ASCE)HY.1943-7900.0000342].

Sequent depth ratio of a B- jump

CAROLLO, Francesco Giuseppe;FERRO, Vito;PAMPALONE, Vincenzo
2011

Abstract

A B-jump is defined as the jump having the toe section located on a positively sloping upstream channel and the roller end on a downstream horizontal channel. This jump often occurs in the stilling basins with a horizontal bottom and located downstream of a steep channel. For a B-jump, a completely theoretical approach is not sufficient to solve the momentum equation and to establish the sequent depth ratio. In this paper, by using the laboratory measurements carried out in this investigation, some available empirical relationships useful for estimating the sequent depth ratio are tested. Then, by using the Π theorem of the dimensional analysis and the incomplete self-similarity theory, a generalized functional relationship for estimating the sequent depth ratio for different types of jumps is deduced. The estimate of the coefficient appearing in this relationship is dependent on the particular type of jump. In conclusion, the analysis established that the sequent depth ratio for a B-jump depends on a parameter E accounting for the toe section position, the upstream Froude number F1, and the channel slope.
Settore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-Forestali
Carollo, F.G., Ferro, V., & Pampalone, V. (2011). Sequent depth ratio of a B- jump. JOURNAL OF HYDRAULIC ENGINEERING, 137(6), 651-658 [10.1061/(ASCE)HY.1943-7900.0000342].
File in questo prodotto:
File Dimensione Formato  
SD_B_jump_ASCE_6_2011.pdf

Solo gestori archvio

Dimensione 573.71 kB
Formato Adobe PDF
573.71 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/79459
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 8
social impact