Using a Modified Lane’s Relation in Local Bed Scouring Studies in the Laboratory Channel

Abstract

Numerous approaches to local scour forming studies have been developed. This paper presents different scientific approaches to the scour phenomenon using Lane's relation [1] in its modified form during laboratory studies. The original Lane's relation is applicable in dynamic balance conditions in alluvial rivers context, and it is not an equation, but a qualitative expression which cannot be directly used to estimate the influence of a change in one parameter on the magnitude of others. Lane's relation, despite its qualitative and simplified character, serves well to describe the nature of the process of forming alluvial stream channels, while modified relation allows transforming it into an equation for laboratory studies of local scour forming in prearranged clear-water equilibrium conditions and gives a new opportunity for this principle application.

Local scour modelling on the basis of flume experiments

“…. To determine the R b value Einstein division of velocity field was used (Indlekofer, 1981; for further description see Kiraga & Popek, 2016a). Calculated functions parameters, Froude numbers and values characterising hydraulic and granulometry properties (D gr , R b , τ b, u * , Re * , τ c , Re s ) are given in Table 4.…”

Lane’s Relation in Local Scour Investigations

“…Lane's relation [24] which in original form describes fluvial processes taking place within the riverbed and their unavoidable striving towards hydrodynamic balance obtainment. The original Lane's relation is not an equation but a qualitative expression depicting factors that influence each other in river channel morphology shaping process: The modified form of relation (2) was applied for the fields conditions and it describes morphodynamic processes in the vicinity of the weir in Czarna in Poland [25] providing promising field data and calculations comparison (the same order of magnitude of values).…”

On local scouring downstream small water structures

“…Although many studies on local scouring downstream hydraulic structures can be found in the literature in the recent years (for example Sun, Wang & Wang, 2012 ; Pagliara et al, 2016 ; Khaple et al, 2017 ; Al-Husseini, Al-Madhhachi & Naser, 2019 ; Singh, Devi & Kumar, 2020 ; Li et al., 2020 ; Taha et al., 2020 ; Wang et al, 2020 ; Yan, Rennie & Mohammadian, 2020 ), among them only a few focus on small hydraulic structures ( Lopardo & Seoane, 2004 ; Kiraga & Popek, 2016 ; Odgaard, 2017 ; AL-Suhaili, Abbood & Samir Saleh, 2017 ; Kiraga & Popek, 2018 ). Gated checks in particular are a rare object of research, which, given quite high prevalence of this type of structures, determines the appropriateness of the undertaken subject.…”

“…The formation and expansion of local scouring that results from time-varying, two-phase movement of water and sediment is one of the most undiscovered processes in hydrotechnical engineering ( Graf, 1998 ; Nouri Imamzadehei et al., 2016 ). Despite numerous studies carried out since the first decades of last century (for example Lacey, 1946 ; Ahmad, 1953 ; Breusers & Raudkivi, 1991 ; Lenzi, Marion & Comiti, 2003 ; Ślizowski & Radecki-Pawlik, 2003 ; Ben Meftah & Mossa, 2006 ; Kiraga & Popek, 2016 ; Pagliara et al, 2016 ; Kiraga & Popek, 2018 ; Al-Husseini, Al-Madhhachi & Naser, 2019 ), there is no sufficient and unquestionable basis for the mathematical description of the process of local erosion, and thus for a development of forecasts of scour holes that will occur during the design of structures. Also, it is not always possible to predict fully reliable estimation based on the results of laboratory tests, because in laboratories the researchers are usually unable to lead to the occurrence of the so-called final scour, i.e., to a state in which the extension of the duration of the experiment does not cause changes in the dimensions and location of sandy bottom and banks ( Chabert & Engeldinger, 1956 ; Barbhuiya & Dey, 2004 ).…”