Determination of the stability of stones on a slope with a given probability of detachment

Mikhalev, M. A.; Duskaev, K. K.

doi:10.1007/bf01441072

Cited by 2 publications

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“…value mау seriously affect engineering calculations and reliability of recommendations оn ablation assessment, taking into account load transport and forecast of deformations in the channels of water bodies. Under these circumstances, it is necessary to continue the work оn improvement of the methods of accounting sediment transport and enhancing forecasts of channel processes [Duskaev 1997, 1995, Mikhalev et. al.…”

Section: Technique Of Calculations and Resultsmentioning

confidence: 99%

Calculation of Bed Load Discharge for Coarse Sand

Myrzakhmetov¹,

Dusskayev²,

Tursunova³

et al. 2022

J. Ecol. Eng.

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At present, during the period of intensive climatic changes, it is important to thoroughly take into account the hydrological regimes of water bodies. Оnе of the major conditions of ensuring hydrological safety of territories is а reliable forecast of stream-channel deformations and channel-related processes in the case of water bodies and their separate sections. This paper reviews different methods of calculating bed load discharge. Thus, a new technique оf calculation оf bed load discharge was developed with consideration of the probabilistic estimate оf the beginning оf bed load motion. The method shows satisfactory results compared to previous techniques in use.

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Section: Technique Of Calculations and Resultsmentioning

confidence: 99%

Calculation of Bed Load Discharge for Coarse Sand

Myrzakhmetov¹,

Dusskayev²,

Tursunova³

et al. 2022

J. Ecol. Eng.

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Search for criterion equations for physical modeling of hydraulic phenomena

Mikhalev¹

1998

Hydrotechnical Construction

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Physical modeling is finding wide use in hydraulic engineering when investigating complex hydraulic phenomena. Any experimental investigation begins with an analysis of the phenomenon being studied to obtain a criterion equation -the dependence of a dimensionless number containing the desired physical quantity on similarity criteria. The latter differ from the dimensionless numbers in that they are dimensionless combinations of physical constants and characteristic quantities known according to the conditions of the problem. Hydraulic phenomena, as a rule, have a special feature -the absence of criteria among the dimensionless numbers, which creates difficulties when searching for criterion equations. But occasionally it is not easy to analyze the diversity of dimensionless numbers which can be obtained by such a powerful apparatus of physical modeling as dimensional theory. Thus, we will take the first step on the path of searching for a criterion equations -an analysis of the dimensionless numbers characterizing the phenomenon being studied.Underlying dimensional theory is the ~r-theorem making it possible to obtain from n dimensional quantities figuring in the coupling equation between them, which reflects an objective physical law, a functional dependence between (n -k) dimensionless numbers, where k is the number of quantities having independent dimensions. In turn, there are as many of the latter quantities as there are main quantities in the adopted systems of units of measurement. As is known, when solving problems in mechanics there are three such units, in particular in the SI these are mass M, length L, and time T. Consequently, in the general case (n-3) ~r-numbers will figure in the functional dependence.With a sufficiently large number of quantities characterizing the phenomenon figuring in the coupling equation and with high possibilities of obtaining from them various combinations of quantities having independent dimensions, the number of dimensionless numbers can be considerable. It has developed historically that certain dimensionless numbers are named after outstanding scientists. For instance, in fluid mechanics and hydraulic engineering these are the numbers: Strouhal Sh, Froude Fe, Enler Eu, Reynolds Re, Weber We. We will call these numbers fundamental [1, 2]. It will be proved below that other dimensionless numbers which can be obtained from quantities figuring in the coupling equation by using other combinations of quantities having independent dimensions are uniquely related to the fundamental ones, representing various combinations of them.As an example we will examine a viscous, incompressible fluid flow under the assumption that the surface tension forces to not affect the phenomenon. It is characterized mainly by linear dimensions, which determine the boundaries of the region of motion, in three-dimensional motion there are three such dimensions, respectively along the x, y, and z axes of the Cartesian coordinate system. For simplicity of subsequent calculations we will consider the li...

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Determination of the stability of stones on a slope with a given probability of detachment

Cited by 2 publications

References 1 publication

Calculation of Bed Load Discharge for Coarse Sand

Calculation of Bed Load Discharge for Coarse Sand

Search for criterion equations for physical modeling of hydraulic phenomena

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