New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics

Paliivets, Maxim; Andreev, E.; Bakshtanin, Alexander; Benin, D.; Snezhko, Vera

doi:10.2478/ijame-2021-0042

Cited by 3 publications

(1 citation statement)

References 32 publications

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“…It is worth highlighting that a lateral weir is a weir made in the side wall of a water cylinder. The longitudinal flow of water is directed along the axis parallel to the weir crest in the cylinder [11]. The topics of solving the problem of excess flow energy dissipation, its interface with the bottom reach, open and closed culverts, and the reduction of erosion behind the end sections, do not lose its importance.…”

Section: Discussionmentioning

confidence: 99%

Justification for the culverts’ design with joint operation of a water cylinder with a side weir

Bakshtanin¹,

Zhukova²

2022

IOP Conf. Ser.: Earth Environ. Sci.

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The article is devoted to the actual topic of the substantiation of the culverts’ design with the joint operation of a water cylinder with a lateral flow outlet. In the article, the advantages and disadvantages of gravity and pressure flow are considered. Under catastrophic conditions, structures with a non-pressurized regime are safer since they have a high reserve of carrying capacity, and structures with a pressurized regime have a large carrying capacity. Today, there is a tendency to use energy dissipation methods using a water cylinder with a side outlet of the water flow in the bottom reach. It is necessary to use water flows when increasing the construction territory of hydraulic structures in mountainous and foothill sections of rivers. A design diagram of a water cylinder with a lateral water outlet when using water cylinder is proposed; the work shows a cylinder with a zero-bottom slope of a rectangular section. A roller with a rotation axis is considered in the article; the flow follows to the wall of the water cylinder along the length of the side walls, a water flow approaches with the expansion in the vertical plane of the side cutout; a flow is formed in the cylinder in the area of the tunnel joining to the cylinder, the outlet channel design and energy dissipation are also considered.

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Section: Discussionmentioning

confidence: 99%

Justification for the culverts’ design with joint operation of a water cylinder with a side weir

Bakshtanin¹,

Zhukova²

2022

IOP Conf. Ser.: Earth Environ. Sci.

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Experimental Investigation of Liquid Pressure in a Straight Circular Cross-Section Pipeline

Vafaeva,

Karpov,

Pavlov

et al. 2024

E3S Web Conf.

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An evaluation of the reliability of a widely accepted method for determining pipeline hydraulic resistance is conducted, based on a comparative analysis of theoretical data with the results of laboratory investigations. The research object is a liquid flowing under pressure in a straight pipeline with a circular cross-section. The subject of the study is the pressure losses of the liquid along the length of the pipeline. The aim of the research is to verify the existing method for determining the hydraulic resistance of a straight pipeline. Research methods include the Darcy-Weisbach law for determining pressure losses due to friction in the pipeline and experimentation. The research findings indicate that the air pressure at the inlet and outlet of the pipeline, as determined by experimentation/calculation, were as follows: for a flow capacity of n = 0.33 (1/3) – 4.48 Pa and 2.11 Pa / 4.87 Pa and 1.70 Pa; for n = 0.66 (2/3) – 9.11 Pa and 3.45 Pa / 9.35 Pa and 3.41 Pa; for n = 1 – 15.4 Pa and 5.10 Pa / 15.7 Pa and 5.92 Pa. The absolute and relative errors of indirect technical measurements of linear pressure losses due to friction in the pipeline were approximately ≈1.04 Pa and ≈10.6 %, respectively. Conclusions drawn from the study indicate that the root mean square deviations of calculated air pressure values along the pipeline from experimental data, with a sample volume N = 9, were as follows: for a flow capacity of n = 0.33 (1/3) – σ = 0.40 Pa; for n = 0.67 (2/3) – σ = 0.36 Pa; for n = 1 – σ = 0.61 Pa. Based on the assessment of the error of indirect technical measurements of pressure losses in the pipeline and deviations of calculated air pressure values from instrumental measurement results, it can be concluded that the existing method of hydraulic pipeline calculation is adequate.

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Issues of energy extinguishing in the downstream with justification of calculation and design of end sections with lateral weirs

Bakshtanin¹,

Matveeva²,

Sokolova³

2022

Industrial, Mechanical and Electrical Engineering

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New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics

Cited by 3 publications

References 32 publications

Justification for the culverts’ design with joint operation of a water cylinder with a side weir

Justification for the culverts’ design with joint operation of a water cylinder with a side weir

Experimental Investigation of Liquid Pressure in a Straight Circular Cross-Section Pipeline

Issues of energy extinguishing in the downstream with justification of calculation and design of end sections with lateral weirs

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