The establishment of pipeline hydraulics: retrospective of researches of hydraulic losses in pipes

Кутуков, Сергей Евгеньевич; Golianov, A. I.; Chetvertkova, O.V.

doi:10.24887/0028-2448-2019-7-128-133

Cited by 3 publications

(5 citation statements)

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“…Polymer additives change the microstructure of oil and improve its pumping. Then, the friction factor depends on the flow history [42]. In practice, a desired flow rate is achieved either by reducing or increasing it.…”

Section: Results Of Calculationsmentioning

confidence: 99%

Lateral-Concentration Inhomogeneities in Flows of Suspensions of Rod-like Particles: The Approach of the Theory of Anisotropic Micropolar Fluid

Shelukhin

2023

Mathematics

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To tackle suspensions of particles of any shape, the thermodynamics of a Cosserat continuum are developed by the method suggested by Landau and Khalatnikov for the mathematical description of the super-fluidity of liquid 2He. Such an approach allows us to take into account the rotation of particles and their form. The flows of suspensions of neutrally buoyant rod-like particles are considered in detail. These suspensions include linear polymer solutions, FD-virus and worm-like micelles. The anisotropy of the suspensions is determined through the inclusion of the micro-inertia tensor in the rheological constitutive equations. The theory predicts gradient banding, temporal volatility of apparent viscosity and hysteresis of the flux-pressure curve. The transition from the isotropic phase to the nematic phase is also captured. Our mathematical model predicts the formation of flock-like inhomogeneities of concentration jointly with the hindrance effect.

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Section: Results Of Calculationsmentioning

confidence: 99%

Lateral-Concentration Inhomogeneities in Flows of Suspensions of Rod-like Particles: The Approach of the Theory of Anisotropic Micropolar Fluid

Shelukhin

2023

Mathematics

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“…In the results of experimental studies at different liquid flow rates in the pipeline and the average flow rate, the statistical dependence of the hydraulic coefficient of friction on the dimensionless Reynolds number in the 𝑅𝑒 = 1 • 10 4 ÷ 8 • 10 4 interval was obtained and interpreted (Figure 4). Altschul [14], Colbrooke [6.8], Colbrooke-White [3] or alternatives to the Colbrooke-White equation [9] and J.S. Offengenden [10].…”

Section: Resultsmentioning

confidence: 99%

“…The current state of the problem. The study of hydraulic resistances of polypropylene pipes and fittings is devoted to the work of I.Cisowska, A.Kotowski [1], experimental tests of head losses in plastic fittings, article T. Siwiec, D. Morawski, G. Karaban [2], analysis of formulas for calculating head losses by length in article S.E.Kutukova [3], investigation of water supply pipeline head losses during operation by A. Lal, D. Morawski, M. Chalecki [4] and others [26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

“…In plastic pipes, micro-and macrovolarity is observed due to the technology of their manufacture. In the first approximation with Reynolds numbers (with an error of up to 25% or more) for hydraulic calculation of plastic pipes it is possible to use the formula Colbrooke [8], Colbrooke-White [3] or alternative to the equation Colbrooke-White [9] with substitution of values of  э =k e given in tables of reference for calculations of hydraulic and ventilation systems [10]. For polyethylene (unstabilized), fluoroplastic and polypropylene pipes the value of  э is not determined, since for them the coefficient λ can be found by formulas for smooth pipes [10].…”

Section: Introductionmentioning

confidence: 99%

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Experimental Evaluation of Hydraulic Resistance of Pipelines from Modern Polymer Materials

Paliivets¹

2022

Preprint

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The aim of the studies was to test the hydraulic pressure losses along the length, local pressure losses, absolute and relative roughness values of the pipeline walls made of modern polymer material. The article presents the results of the experimental studies of hydraulic resistance of pipelines from modern polymer materials, the method of theoretical determination of resistance coefficients in the VALTEC ISO 21003 metal polymer pipeline, the classification and method of determining the values of local hydraulic resistance coefficients of T-Junctions are given, the dependence for determining the Darcy λ hydraulic friction coefficient associated with the value of the equivalent hydraulic roughness coefficient of the inner surface of pipes and the Reynolds number. The experimental data of the hydraulic coefficient of friction Darcy λ was compared with the known theoretical relationships of A.D. Altschul, Colbrooke for smooth pipes, Colbrooke and White, an alternative to the Colbrooke-White, Offengenden equation for low-shear pipes and pipes from polymer materials with Reynolds numbers Re>10^4. Dependence of hydraulic coefficient of friction on relative equivalent roughness of pipeline walls and Reynolds number, specific energy loss per one linear meter on total flow rate in system of hydraulically short pipeline is obtained. The empirical dependence of values of coefficients of local resistance ζ=f(Q2/Q3) from a ratio of the divided expenses of Q2/Q3 of the equal-pass T-Junction α=90 the pipeline to a branch up, on pass in the direct T-Junction and division of streams at various internal pipeline diameters of VALTEC.

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“…To optimize pumping, additives are used that change the microstructure of oil. As a result, it is discovered that friction factor can depend not only on oil discharge, but on its prehistory as well [38]. It turns out that the smallest friction losses are achieved by decreasing rather than increasing the flow rate to a predetermined level [9].…”

Section: Results Of Calculationsmentioning

confidence: 99%

Flows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach

Shelukhin

2021

Polymers

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We formulate equations governing flows of suspensions of rod-like particles. Such suspensions include linear polymer solutions, FD-virus, and worm-like micelles. To take into account the particles that form and their rotation, we treat the suspension as a Cosserat continuum and apply the theory of micropolar fluids. Anisotropy of suspensions is determined through the inclusion of the microinertia tensor in the rheological constitutive equations. We check that the model is consistent with the basic principles of thermodynamics. In addition to anisotropy, the theory also captures gradient banding instability, coexistence of isotropic and nematic phases, sustained temporal oscillations of macroscopic viscosity, shear thinning and hysteresis. For the flow between two planes, we also establish that the total flow rate depends not only on the pressure gradient, but on the history of its variation as well.

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The establishment of pipeline hydraulics: retrospective of researches of hydraulic losses in pipes

Cited by 3 publications

References 0 publications

Lateral-Concentration Inhomogeneities in Flows of Suspensions of Rod-like Particles: The Approach of the Theory of Anisotropic Micropolar Fluid

Lateral-Concentration Inhomogeneities in Flows of Suspensions of Rod-like Particles: The Approach of the Theory of Anisotropic Micropolar Fluid

Experimental Evaluation of Hydraulic Resistance of Pipelines from Modern Polymer Materials

Flows of Linear Polymer Solutions and Other Suspensions of Rod-like Particles: Anisotropic Micropolar-Fluid Theory Approach

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