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Статті в журналах з теми "Pipelines Hydrodynamics Mathematical models"
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A. A., Yuldashov, and Karimov G. X. "Models of Distribution of Flow Parameters in Intensive Garden Irrigation, System Pipes." International Journal for Research in Applied Science and Engineering Technology 10, no. 3 (March 31, 2022): 838–44. http://dx.doi.org/10.22214/ijraset.2022.40692.
Повний текст джерелаАнотація:
Annotation: The mathematical description of the movement of water in the systems of irrigation pipelines, based on the equation of continuity of the medium, the system of Navy-Stokes equations. The resulting mathematical package describes a system with distributed parameters and is performed based on the condition of dynamic balance at the point of flow, taking into account the dependence on the nature of the flow and the physical properties of the environment. Calculation is executed with use of functions Besseliya. Methodology for calculating the hydrodynamic component of water movement in irrigation water supply systems. Pipelines are universal in nature and can be used in the calculation, construction and assessment of the stability of water supply hydraulic systems; the technique can be used to describe the object of operation in the construction of control systems for the hydraulic parameters of the water supply system. Keywords: pipeline, irrigation systems, non-uniformity, liquid, water, strength, function, three-dimensional, water supply, hydrodynamics, hydrostatics, quasi-one-dimensional, unsteady, flow, potential, surface, coordinate system, stresses, projection, velocity, cylindrical coordinates, unsteady motion , asymmetric, viscous, compressible fluid, plastic pipe
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Serediuk, M. D. "MATHEMATICAL MODELING OF THE CHARACTERISTICS OF OIL PUMPS, TAKING INTO ACCOUNT THE VISCOSITY OF THE TRANSPORTED OIL." Oil and Gas Power Engineering, no. 1(31) (June 26, 2019): 54–64. http://dx.doi.org/10.31471/1993-9868-2019-1(31)-54-64.
Повний текст джерелаАнотація:
For solving a range of assignments concerning design and operation of main oil pipelines it is necessary to possess appropriate mathematical models of centrifugal pump characteristics as the pumps appear to be the main equipment of pumping stations. Known analytical dependences describe only operating envelope of the pumps and thus can`t be applied for low flowrate regimes being inherent to the Ukrainian oil transmission system. In addition, these mathematical models do not take into account the effect of the viscosity of the transported oil on the pressure and energy characteristics of oil pumps. The work features the improved the method of mathematical modeling of the hydrodynamic characteristics of centrifugal pumps of main oil pipelines for the full range of working feeds, taking into account the effect of the viscosity of the pumped oil. It is also given a consideration to mathematical models of oil pumps characteristics, coefficients of which are found by the coordinates of two or three points of corresponding charts, and polynomial models, the coefficients of which are determined by the least squares method by a set of passport or experimental data. Adequate mathematical models for pressure characteristics and efficiency coefficient of oil pumps are proposed that are suitable for creation of computational algorithms for determining the throughput and energy efficiency of operation of main oil pipelines. It has been proved that for oil pumps that are operated under different combining schemes with significant reduction of theirs operation flowrate the advantage should be given to the mathematical models of the characteristics obtained by the method of least squares. In this case, polynomial models of the third degree provide the necessary accuracy of the calculations. The method of introducing a control unit for the influence of the transported oil viscosity on the characteristics of the pumps is proposed under determining the capability and energy efficiency of operation of main oil pipelines
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Bobkov, S. P., and A. S. Chernjavskaja. "Simulation of continuous flows with discrete models." Vestnik IGEU, no. 3 (2019): 68–75. http://dx.doi.org/10.17588/2072-2672.2019.3.068-075.
Повний текст джерелаАнотація:
The vast majority of heat and power processes include the motion of significant amounts of gases and liq-uids. This makes it important and quite urgent to develop approaches for computer simulation and visualiza-tion of continuum flows in technological devices and pipelines. A whole set of new approaches to mathematical modelling of continuum flows has been recently developed. The most common one is using discrete mathematical models for these purposes. Discrete approaches can simplify modeling procedures in cases where traditional methods require complex time-consuming calculations. At the same time, correct-ness of description of various flow regimes by the discrete methods is often questioned. The second problem of the mentioned models is a large-scale transition from model discrete parameters to generally accepted macroscopic characteristics of flows. The purpose of this work is to determine continuous flow regimes that can be correctly described by certain models. The paper considers discrete dynamic models in the form of lattice gases. A continuum in this case is represented by a set of particles moving only in allowed directions. Despite certain limitations, there is solid evidence that lattice gases quite successfully describe a whole range of hydrodynamic phenomena, and the obtained results do not contradict the generally accepted views on the physical nature of continuum motion processes. The paper describes approaches that allow estimating flow parameters using generally accepted macroscopic indicators. It also studies possible application areas of lattice gas models using the motion of virtual particles on a spatial lattice (HPP and FHP models) and the model based on the discrete analogue of the Boltzmann equation (LBM model) to simulate and visualize continuum flows. The obtained data are in good agreement with the generally accepted results and do not contradict the provisions of classical hydrodynamics. The paper shows that the models considering particle collisions (HPP and FHP) are applicable to describing gas flows in laminar regimes. The LBM model should be considered to be more correct for simulation and visualization of real fluid flows.
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Bondar, Denis V., Vladimir V. Zholobov та Oleg S. Nadezhkin. "Метод определения параметров утечек в трубопроводах на основе гидродинамических моделей". SCIENCE & TECHNOLOGIES OIL AND OIL PRODUCTS PIPELINE TRANSPORTATION, № 5 (9 грудня 2021): 515–27. http://dx.doi.org/10.28999/2541-9595-2021-11-5-515-527.
Повний текст джерелаАнотація:
It is known that on the basis of the pipeline non-stationary hydrodynamic model after identification of parameters included in it, it is possible to adequately reproduce the full-scale hydraulic characteristics of transported medium flow by resolving the primal problem of hydraulics, in particular, the primal problem of identifying leakage parameters. The numerical solution of the inverse problem, in contrast to the analytical solution, is usually reduced to a multiple solution of the primal problem. In the present work, the hydrodynamic mathematical model of a pipeline with two parameters that have been identified and fluid withdrawal in the set section is confined to differential equations of evolutionary type for medium cross-section pressure and mass flow. Based on the built partial analytical solutions of these equations, dependences have been obtained for calculation of pressure values in the oil pipeline operated in stationary mode with existing liquid withdrawal (leakage). Results of application of analytical solutions to the method of sensitivity functions in the inverse problem of identifying leakage parameters have been reviewed. Exact analytical solution (in implicit form) of the inverse problem has been obtained to make it possible to relate the location of the leak to readings of pressure sensors, to the pipeline and the transported fluid parameters. Известно, что на основе нестационарной гидродинамической модели трубопровода после идентификации входящих в нее параметров можно адекватно воспроизводить натурные гидравлические характеристики потока транспортируемой среды путем решения прямой задачи гидравлики, в частности, прямой задачи об утечке, когда местоположение и расход отбора заданы. Численное решение обратной задачи, в отличие от аналитического обычно сводится к многократному решению прямой задачи. В предлагаемой работе гидродинамическая математическая модель трубопровода с двумя параметрами, прошедшими идентификацию, и отбором жидкости в заданном сечении сведена к дифференциальным уравнениям эволюционного типа для среднего по сечению давления и массового расхода. На основе частных аналитических решений данных уравнений получены зависимости для определения давления в работающем в стационарном режиме нефтепроводе при наличии отбора (утечки). Рассмотрены результаты применения аналитических решений к методу функций чувствительности в обратной задаче утечки. Получено точное аналитическое решение (в неявной форме) обратной задачи, позволяющее связать местоположение утечки с показаниями датчиков давления, характеристиками трубопровода и транспортируемой среды.
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Жолобов, Владимир Васильевич, Валерий Юрьевич Морецкий, and Рустям Фаатович Талипов. "Distribution of volume of water accumulations in profile oil pipeline." SCIENCE & TECHNOLOGIES OIL AND OIL PRODUCTS PIPELINE TRANSPORTATION, no. 5 (October 31, 2022): 438–51. http://dx.doi.org/10.28999/2541-9595-2022-12-5-438-451.
Повний текст джерелаАнотація:
Введение. Имеющиеся математические модели поведения воды в эксплуатируемых нефтепроводах не учитывают возможность одновременного существования неподвижной и подвижной форм водных образований. Это ограничивает область применимости таких расчетных моделей и делает актуальной разработку обобщенных гидравлических моделей. Методы. Применение положений многоскоростного континуума позволяет сформулировать общую математическую модель многофазной среды, которая при адаптации допускает высокую степень детализации гидравлического описания накопления и миграции воды. При этом будут сформулированы незамкнутые уравнения (балансовые законы сохранения), которые применимы к описанию формирования условно неподвижного водного скопления и миграции коалесцированной воды как в непрерывной (ручейковой), так и в дисперсно-капельной форме на технологическом участке магистрального нефтепровода. Постановка задачи сводится к конкретизации межфазного взаимодействия на основе пограничного слоя и аналогии с движением влекомых наносов в теории русловых течений. Результаты. На основе соотношений пограничного слоя на поверхности контакта фаз и аналогового предположения о профиле продольной скорости получены расчетные зависимости для скорости среды на границе контакта, а также формулы для расчета силового взаимодействия и дисперсно-капельного массообмена. В отличие от имеющихся в научно-технической литературе вариантов замыкания здесь применен профиль скорости в циркуляционном течении воды. Обсуждение. Полученные зависимости в общем случае содержат дополнительные параметры, подлежащие идентификации и ранжированию по степени влияния на основные гидродинамические характеристики стратифицированных течений с поправкой на разницу в диаметрах срываемых и оседающих капель. Для этого требуются данные специально поставленных стендовых и численных экспериментов. Выводы. Представленная модель поведения воды в профильном трубопроводе сформулирована с учетом возможного волнового срыва капель с поверхности неподвижного водного скопления, полного дисперсно-капельного выноса или переноса капель на последующие участки. При практических расчетах, помимо обычной процедуры предварительной идентификации параметров однофазных моделей, дополнительно необходима идентификация параметров пограничного слоя на границе контакта фаз. Ключевые слова: стратифицированное течение, ручейковое течение, водные скопления в трубопроводах, двухфазное течение, математическая модель течения, дисперсная фаза, гидравлическая модель Introduction. The available mathematical models of water behavior in operated oil pipelines do not take into account the possibility of simultaneous existence of fixed and mobile forms of water formations. This limits the applicability of such design models and makes the development of generalized hydraulic models relevant. Methods. In the mechanics of multiphase media, on the basis of a multi-speed continuum, a mathematical apparatus is built, which, when adapted, allows any degree of detail in the hydraulic description of the process of accumulation and migration of water. At the same time, unclosed equations (balance conservation laws) are formulated, which are also applicable to the description of the formation of a conditionally stationary water accumulation and migration of coalesced water both in continuous (stream) and dispersed-droplet form in the technological section of the main oil pipeline. The formulation of the problem is reduced to the concretization of interphase interaction on the basis of the boundary layer and analogy with the movement of attracted sediments in the theory of channel currents. Results. Based on the ratios of the boundary layer on the phase contact surface and the assumption of the longitudinal velocity profile, calculated dependencies for the velocity of the medium at the contact boundary, as well as formulas for calculating the force interaction and disperse-droplet mass transfer, are obtained. In contrast to the options available in the literature, the velocity profile in the circulation flow of water is applied here. Discussion. The obtained dependencies in the general case contain additional parameters to be identified and ranked according to the degree of influence on the main hydrodynamic characteristics of the stratified currents, adjusted for the difference in the diameters of the torn and settling droplets. This requires data from specially staged bench and numerical experiments. Conclusion. The presented model of water behavior in the profile pipeline is formulated taking into account the possible wave breakage of droplets from the surface of a stationary water accumulation, complete dispersion-droplet removal or transfer of droplets to subsequent areas. In practical calculations, in addition to the usual procedure for preliminary identification of the parameters of single-phase models, it is additionally necessary to identify the parameters of the boundary layer at the phase contact boundary.
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Bogdevičius, Marijonas, Jolanta Janutėnienė, Rimantas Didžiokas, Saulius Razmas, Viktor Skrickij, and Paulius Bogdevičius. "Investigation of the hydrodynamic processes of a centrifugal pump in a geothermal system." Transport 33, no. 1 (March 29, 2016): 223–30. http://dx.doi.org/10.3846/16484142.2016.1155079.
Повний текст джерелаАнотація:
The hydrodynamic and thermodynamic processes of geothermal well extraction are investigated and presented in this paper. The paper presents mathematical models for a multi-level centrifugal pump and pipeline system. The mathematical models were used to evaluate gas (nitrogen) emission in water and its effects on hydrodynamic processes. Experimental studies and mathematical modelling showed that the gas content of the fluid increases the pressure and flow pulsations within a centrifugal pump. The variation in the height of the liquid column in extraction has an influence on characteristics of the multistage centrifugal pump used in wells.
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Paryshev, Emil V. "Approximate mathematical models in high-speed hydrodynamics." Journal of Engineering Mathematics 55, no. 1-4 (July 26, 2006): 41–64. http://dx.doi.org/10.1007/s10665-005-9026-x.
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Osiadacz, Andrzej J., and Marta Gburzyńska. "Selected Mathematical Models Describing Flow in Gas Pipelines." Energies 15, no. 2 (January 10, 2022): 478. http://dx.doi.org/10.3390/en15020478.
Повний текст джерелаАнотація:
The main aim of simulation programs is to study the behavior of gas pipe networks in certain conditions. Solving a specified set of differential equations describing transient (unsteady) flow in a gas pipeline for the adopted parameters of load and supply will help us find out the value of pressure or flow rate at selected points or along selected sections of the network. Transient gas flow may be described by a set of simple or partial differential equations classified as hyperbolic or parabolic. Derivation of the mathematical model of transient gas flow involves certain simplifications, of which one-dimensional flow is most important. It is very important to determine the conditions of pipeline/transmission network operation in which the hyperbolic model and the parabolic model, respectively, should be used. Parabolic models can be solved numerically in a much simpler way and can be used to design simulation programs which allow us to calculate the network of any structure and any number of non-pipe elements. In some conditions, however, they describe the changes occurring in the network less accurately than hyperbolic models do. The need for analysis, control, and optimization of gas flows in high-pressure gas pipelines with complex structure increases significantly. Very often, the time allowed for analysis and making operational decisions is limited. Therefore, efficient models of unsteady gas flows and high-speed algorithms are essential.
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Saifutdinov, A. I., and G. E. Korobkov. "ROBUST MATHEMATICAL MODELS FOR DURABILITY ESTIMATION OF UNDERWATER OIL PIPELINES." Problems of Gathering, Treatment and Transportation of Oil and Oil Products, no. 4 (June 2018): 67. http://dx.doi.org/10.17122/ntj-oil-2018-4-67-72.
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Sukhinov, A., A. Chistyakov, S. Protsenko, and E. Protsenko. "Study of 3D discrete hydrodynamics models using cell filling." E3S Web of Conferences 224 (2020): 02016. http://dx.doi.org/10.1051/e3sconf/202022402016.
Повний текст джерелаАнотація:
Modern methods and tools for coastal hydrodynamics modeling indicate the necessity of constructing discrete analogs of models for ones the properties: balance and conservation laws (for mass, flows, impulse), stability, convergence and etc. have been fulfilled. The paper considers a continuous three-dimensional mathematical model of the hydrodynamics of water basins and its discretization. The pressure correction method at variable water medium density was used to solve the problem of hydrodynamics. The considered discrete mathematical models of hydrodynamics take into account the filling of control cells on rectangular grids. This increased the accuracy of the solution in the case of complex geometry by improving the boundary approximation. From the obtained estimates of the components of the velocity vector, it follows that there are no two or more stationary regimes in which all forces are balanced, and the solution to the discrete problem exists and is unique and tends to the solution of the continuous problem upon reaching the stationary regime. Also the balance of the flows for the discrete model has been proved as well as absence of non-conservative dissipative terms.
Дисертації з теми "Pipelines Hydrodynamics Mathematical models"
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Yeow, Kervin. "Three dimensional scour along offshore pipelines." University of Western Australia. School of Civil and Resource Engineering, 2007. http://theses.library.uwa.edu.au/adt-WU2008.0008.
Повний текст джерелаАнотація:
Three-dimensional scour propagation along offshore pipelines is a major reason to pipeline failures in an offshore environment. Although the research on scour in both numerical and experimental aspect has been extensive over the last three decades, the focus of the investigation has been limited to the two-dimensional aspect. The knowledge on three-dimensional scour is still limited. This dissertation presents the results of an experimental investigation on threedimensional scour along offshore pipelines in (1) steady currents (2) waves only and (3) combined waves and current. The major emphasis of the investigation is to investigate the propagation of the scour hole along the pipeline after the initiation of scour. Physical experiments conducted were used to quantify the effects of various parameters on scour propagation velocities along the pipeline. The problem of monitoring real time scour below a pipeline was solved by using specifically developed conductivity scour probes. Effects of various parameters such as pipeline embedment depth, incoming flow Shields parameter, Keuglegan- Carpenter (KC) number and flow incident angle to the pipeline on scour propagation velocities along the pipeline were investigated. The investigations clearly reveal that scour propagation velocities generally increase with the increase of flow but decrease with the increase of the pipeline embedment depth. A general predictive formula for scour propagation velocities is proposed and validated against the experimental results. There are still some common issues related to pipeline scour that is lacking in the literature to date. One of these issues is the effects of Reynolds number on two-dimensional scour beneath pipelines. A numerical approach was adopted to investigate the Reynolds-number dependence of two-dimensional scour beneath offshore pipelines in steady currents. A novel wall function is proposed in calculating the suspended sediment transport rate in the model. The effects of Reynolds number were investigated by simulating the same undisturbed Shields parameters in both model and prototype but with different values of Reynolds number in two separate calculations. The results revealed that scour depths for prototype pipelines are about 10~15% smaller than those for model pipelines. The normalized time scales was found to be approximately the same, and the simulated scour profiles for the model pipelines agree well with the experimental results from an independent study. The backfilling of pipeline trenches is also an important issue to the design and management of offshore pipelines. A numerical model is developed to simulate the self-burial of a pipeline trench. Morphological evolutions of a pipeline trench under steady-current or oscillatory-flow conditions are simulated with/without a pipeline inside the trench. The two-dimensional Reynolds-averaged continuity and Navier-Stokes equations with the standard k-e turbulence closure, as well as the sediment transport equations, are solved using finite difference method in a curvilinear coordinate system. Different time-marching schemes are employed for the morphological computation under unidirectional and oscillatory conditions. It is found that vortex motions within the trench play an important role in the trench development.
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Brumley, Douglas Richard. "Hydrodynamics of swimming microorganisms." Thesis, University of Cambridge, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.608174.
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蔡景華 and King-wah Choi. "Finite difference modelling of estuarine hydrodynamics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1985. http://hub.hku.hk/bib/B30425153.
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Tsang, Suk-chong, and 曾淑莊. "A numerical study of coupled nonlinear Schrödinger equations arising in hydrodynamics and optics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2003. http://hub.hku.hk/bib/B26652651.
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McTaggart, Kevin Andrew. "Hydrodynamics and risk analysis of iceberg impacts with offshore structures." Thesis, University of British Columbia, 1989. http://hdl.handle.net/2429/30733.
Повний текст джерелаАнотація:
The evaluation of design iceberg impact loads for offshore structures and the influence
of hydrodynamic effects on impact loads are examined. Important hydrodynamic effects include iceberg added mass, wave-induced oscillatory iceberg motions, and the influence of a large structure on the surrounding flow field and subsequent velocities of approaching icebergs. The significance of these phenomena has been investigated using a two-body numerical diffraction model and through a series of experiments modelling the drift of various sized icebergs driven by waves and currents approaching a large offshore structure. Relevant findings from the hydrodynamic studies have been incorporated into two probabilistic models which can be used to determine design iceberg collision events with a structure based on either iceberg kinetic energy upon impact or global sliding force acting on the structure. Load exceedence probabilities from the kinetic energy and sliding force models are evaluated using the second-order reliability method. Output from the probabilistic models can be used to determine design collision parameters and to assess whether more sophisticated modelling of various impact processes is required. The influence of the structure on velocities of approaching icebergs is shown to be significant
when the structure horizontal dimension is greater than twice the iceberg dimension. As expected, wave-induced oscillatory motions dominate the collision velocity for smaller icebergs but have a negligible effect on velocity for larger icebergs.Applied Science, Faculty of
Civil Engineering, Department of
Graduate
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Ye, Feng. "Derivation of a two-layer non-hydrostatic shallow water model." Thesis, Water Resources Research Center, University of Hawaii at Manoa, 1995. http://hdl.handle.net/10125/21919.
Повний текст джерелаАнотація:
A theoretical non-hydrostatic model is developed to describe the dynamics of a two-layer shallow water system in the presence of viscous and Coriolis effects. The Navier-Stokes equations are integrated over the water depth in each layer to obtain the layer-mean equations. To close the resulting equation set, perturbation expansions of the vertical momentum equation are used and the dynamic pressures are solved in terms of wave elevations and horizontal velocities. A preliminary analysis is also carried out and a result for the quasigeostrophic problems is given based on an previous study. Our final model is of the Bousinesq class which is nonlinear and dispersive, and includes the effects of surface wind stress, bottom friction, eddy diffusion and earth rotation. It is shown that our new model can be readily reduced to previous inviscid non-hydrostatic models. Our model can be used in numerical simulations to study real ocean problems such as hurricane generated waves, tidal induced current, and interactions among surface waves, internal waves and variable topographies.Thesis (M. S.)--University of Hawaii at Manoa, 1995.
Includes bibliographical references (leaves 55-59).
UHM: Has both book and microform.
U.S. Geological Survey; project no. 06; grant agreement no. 14-08-0001-G2015
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Marchand, Philippe 1972. "Hydrodynamic modeling of shallow basins." Thesis, McGill University, 1997. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=20274.
Повний текст джерелаАнотація:
A two-dimensional hydrodynamic model is used to simulate the flow field and the concentration distribution of a conservative tracer in shallow basins. A series of numerical test are performed to evaluate different numerical schemes and problems which arise for the use of the Second Moment Method (SMM) in diffusion dominated flows are reported. The results of the basin simulations are compared with experimental data. The model predicts the location and the size of the dead zones, bypassing, recirculation, and local concentrations within the basin. The positioning of the inlet and outlet, and the presence of baffles are important parameters for the location and size of dead zones. The model gives results which are in agreement with the experimental data. The results show that the hydrodynamic model is quite powerful in terms of predicting correctly the residence time distribution for ponds of various dimensions and shapes.
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Muir, Stuart. "A relativisitic, 3-dimensional smoothed particle hydrodynamics (SPH) algorithm and its applications." Monash University, School of Mathematical Sciences, 2003. http://arrow.monash.edu.au/hdl/1959.1/9513.
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Song, Charlotte Kathryn Cody. "Hydrodynamic stability of confined shear-driven flows." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/17662.
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吳家鳴 and Jiaming Wu. "Simulation of a two-part underwater towed system." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31239481.
Повний текст джерелаКниги з теми "Pipelines Hydrodynamics Mathematical models"
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Hydrodynamics and sound. Cambridge: Cambridge University Press, 2007.
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Colangeli, Matteo. From Kinetic Models to Hydrodynamics: Some Novel Results. New York, NY: Springer New York, 2013.
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Vreugdenhil, C. B. Numerical methods for shallow-water flow. Dordrecht: Kluwer Academic Publishers, 1994.
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Vreugdenhil, Cornelis Boudewijn. Numerical methods for shallow-water flow. Dordrecht: Kluwer Academic Publishers, 1994.
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Hydrodynamics of explosion: Experiments and models. Berlin: Springer, 2005.
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I︠U︡rezanskai︠a︡, I︠U︡ S. Razrabotka metodov matematicheskogo modelirovanii︠a︡ rasprostranenii︠a︡ passivnoĭ primesi na okeanicheskom shelʹfe. Moskva: Vychislitelʹnyĭ t︠s︡entr im. A.A. Dorodnit︠s︡yna RAN, 2009.
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Chislennoe modelirovanie nekotorykh zadach aėrogidrodinamiki. Moskva: Vychislitelʹnyĭ t͡s︡entr AN SSSR, 1986.
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Zhu, Lian-di. A streamline-iteration method for calculating turbulent flow around the stern of a body of revolution and its wake. Wuxi, Jiansu, China: China Scientific Research Center, 1986.
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Pinchukov, V. I. Chislennye metody vysokikh pori︠a︡dkov dli︠a︡ zadach aėrogidrodinamiki. Novosibirsk: Izd-vo Sibirskogo otd-nii︠a︡ Rossiĭskoĭ akademii nauk, 2000.
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Li͡akhovit͡siĭ, Anatoliĭ Grigorʹevich. Shallow water and supercritical ships. Fair Lawn, N.J: Backbone Pub. Co., 2007.
Знайти повний текст джерелаЧастини книг з теми "Pipelines Hydrodynamics Mathematical models"
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Toscani, Giuseppe. "Hydrodynamics from the Dissipative Boltzmann Equation." In Mathematical Models of Granular Matter, 59–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78277-3_3.
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Sentis, Rémi. "Quasi-Neutrality and Magneto-Hydrodynamics." In Mathematical Models and Methods for Plasma Physics, Volume 1, 11–71. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-03804-9_2.
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Spielman, Lloyd A. "Flow Through Porous Media and Fluid-Particle Hydrodynamics." In Mathematical Models and Design Methods in Solid-Liquid Separation, 25–47. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5091-7_3.
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Kumari, Anupama, Mukund Madhaw, and Vishnu S. Pendyala. "Prediction of Formation Conditions of Gas Hydrates Using Machine Learning and Genetic Programming." In Machine Learning for Societal Improvement, Modernization, and Progress, 200–224. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-6684-4045-2.ch010.
Повний текст джерелаАнотація:
The formation of gas hydrates in the pipelines of oil, gas, chemical, and other industries has been a significant problem for many years because the formation of gas hydrates may block the pipelines. Hence, the knowledge of the phase equilibrium conditions of gas hydrate became necessary for the economic and safe working of oil, gas, chemical industries. Various thermodynamic approaches with various mathematical techniques are available for the prediction of formation conditions of gas hydrates. In this chapter, the authors have discussed the least square support vector machine and artificial neural network models for the prediction of stability conditions of gas hydrates and the use of genetic programming (GP) and genetic algorithm (GA) to develop a generalized correlation for predicting equilibrium conditions of gas hydrates.
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Pirim, Harun, Amin Aghalari, and Mohammad Marufuzzaman. "Clustering Network Data Using Mixed Integer Linear Programming." In Recent Applications in Graph Theory [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.104760.
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Network clustering provides insights into relational data and feeds certain machine learning pipelines. We present five integer or mixed-integer linear programming formulations from literature for a crisp clustering. The first four clustering models employ an undirected, unweighted network; the last one employs a signed network. All models are coded in Python and solved using Gurobi solver. Codes for one of the models are explained. All codes and datasets are made available. The aim of this chapter is to compare some of the integer or mixed-integer programming network clustering models and to provide access to Python codes to replicate the results. Mathematical programming formulations are provided, and experiments are run on two different datasets. Results are reported in terms of computational times and the best number of clusters. The maximum diameter minimization model forms compact clusters including members with a dominant affiliation. The model generates a few clusters with relatively larger size. Additional constraints can be included to force bounds on the cluster size. The NP-hard nature of the problem limits the size of the dataset, and one of the models is terminated after 6 days. The models are not practical for networks with hundreds of nodes and thousands of edges or more. However, the diversity of models suggests different practical applications in social sciences.
Тези доповідей конференцій з теми "Pipelines Hydrodynamics Mathematical models"
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Sánchez, Salvador, Gabriel Ascanio, Juan P. Aguayo, and Felipe Sánchez-Minero. "Numerical Analysis of Thermal Effects Induced in the Hydrodynamics of the Heavy Oil Transport." In ASME 2018 5th Joint US-European Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/fedsm2018-83061.
Повний текст джерелаАнотація:
In the present work, thermal effects induced in the hydrodynamics of heavy oil transport in pipelines are analyzed. Here, the thermal dependence of the dynamic viscosity and the mechanical heating caused by viscous dissipation are taking into account; therefore, the mathematical models that represent the study are solved in a coupled manner, evaluating at the same time both, the flow field inside of the pipeline, as well as, its corresponding heat transfer processes with respect to the environment. In order to conduct the analysis properly, numerical solutions are obtained in dimensionless way, and three main dimensionless parameters are defined; namely, β, Λ and Br, which represent the ratio of the internal radius to the length of the pipeline, the thermal conductivity for the diffusive heat transfer process in the conjugated system pipeline-thermal insulation (soil), and the Brinkman number associated to the mechanical heating, respectively. The main results reveal that, when heavy oils (extra-viscous fluids) are transported in pipelines, until a small reduction in their temperature generate substantial increment in the dynamic viscosity, and consequently, the flow rate is reduced in comparison with predictions considering a full thermal insulation condition (adiabatic process). Hence, we can conclude that during the transport of heavy oil the heat transfer and its effects over the flow field have to be estimated and controlled, this with the aim of having an efficient transport.
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Bagci, Suat, and Adel Al-Shareef. "An Investigation of Slug Flow in Hilly Terrain Pipelines." In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17063.
Повний текст джерелаАнотація:
Abstract Two-phase flow in hilly terrain pipelines can cause significant practical operating problems. When slugs flow in a hilly terrain pipeline that contains sections of different inclinations they undergo a change of length and slug flow characteristics as the slug move from section to section. In addition, slugs can be generated at low elbows, dissipate at top elbows and shrink or grow in length as they travel along the pipe. A mathematical model and a computer program was developed to simulate these phenomena. The model was based on the sink/source concept at the pipeline connections. A connection between two pipeline sections of different slopes was conveniently called elbow. An elbow accumulates liquid as a sink, and releases liquid as a source. The sink/source has a characteristic capacity of its own. This capacity is positive if the liquid can indeed be accumulated at the elbow or negative if the liquid is actually drained away from the elbow. This type of treatment effectively isolates the flow upstream from an elbow from that downstream, while still allowing flow interactions between two detailed pipeline sections. The hydrodynamic flow model was also used to calculate the film liquid holdup in horizontal and inclined pipelines. The model can successfully predict the liquid film holdup if the liquid film height is assumed to be uniform through the gas pocket. Many other models were used to calculate all the needed parameters to perform the sink/source model. The overall effect of a hill or terrain on slug flow depends on the operating flow rates and pipeline configurations. For special case of near constant slug frequency corresponding to moderately high superficial liquid and gas velocities, this effect was found to be small. The changes in the film characteristics between two adjacent pipeline sections were found to be mostly responsible for the pseudo-slug generation, slug growth and dissipation in the downstream pipeline sections. The film liquid holdup decreased with increasing pipe diameter. The unit slug length increased at the upstream inclined pipes and decreased at the downstream inclined pipes with increasing pipe diameter. The possibility of pseudo-slug generation was increased at large pipe diameters even at high sink capacities. At low sink capacities, no pseudo-slugs were generated at high superficial velocities. The slug flow characteristics was more effected by low superficial gas and liquid velocities, large pipe diameters and shallow pipeline inclinations.
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Archila, John Faber, and Marcelo Becker. "Study of Robots to Pipelines, Mathematical Models and Simulation." In 2013 Latin American Robotics Symposium and Competition (LARS/LARC). IEEE, 2013. http://dx.doi.org/10.1109/lars.2013.51.
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Prostomolotov, Anatoliy, and Natalia Verezub. "HYDRODYNAMICS AND MASS TRANSFER IN SPECIAL CRYSTALLIZER DESIGNS." In Mathematical modeling in materials science of electronic component. LLC MAKS Press, 2020. http://dx.doi.org/10.29003/m1524.mmmsec-2020/78-82.
Повний текст джерелаАнотація:
Two variants of the crystallizer are considered: in the first, the solution is supplied to the central crystal part, in the second, there is a peripheral solution supply along the crystallizer perimeter, what provides creating its swirling flow. The calculation models corresponded to the laminar and turbulent regimes of the solution flow during the mixed KCNSH crystal growth from a mixture of two water-salt solutions (cobalt KCSH and nickel KNSH salts).
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Emmanuel- Douglas, Ibiba. "A Generalized Mathematical Procedure for Ship Motion Stability Analysis." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79041.
Повний текст джерелаАнотація:
The challenges of providing safe and high performance marine vehicles present strict and often conflicting constraints that require rational and holistic analysis methodologies to obtain efficient design solutions. This paper presents a mathematical framework for stability analysis, which is one of the key elements in the design and operation of ships and floating bodies that still require considerable improvement. The method is based on the application of the Lyapunov stability analysis concept, which has been highly successful in some other engineering and scientific disciplines. The paper presents the fundamental concepts on the applicability of the Lyapunov method to ship motions stability analysis. Governing mathematical models are derived from first principles and interpreted in the context of geometrical and physical interrelationships. The analytical models are primarily developed for the generalized case of non-linear forced non-conservative systems and simplified by linearization in the case of coupled motion for detailed analysis and characterization of stability conditions and domain. The concept of “motion boundedness” is introduced to satisfy requirements of the Lyapunov method to ship motions subjected to continuous excitations. The analysis leads to some valuable deductions and insight that would be useful in the formulation of stability criteria for ships and marine vehicles in general. The most significant contribution is the possibility of explicit determination of geometric and hydrostatics/hydrodynamics parameters that govern ship stability characteristics.
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Bassindale, Chris, Xin Wang, William R. Tyson, and Su Xu. "Development of CTOA Requirements for Ductile Fracture Arrest in Gas Pipelines: FE Model and Simulations." In 2022 14th International Pipeline Conference. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/ipc2022-87157.
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Abstract In this paper, an engineering analysis approach is presented to predict fracture arrest CTOA requirements for gas pipelines using finite element (FE) analysis. A model with constant CTOA as fracture criterion was developed using the commercial FE code ABAQUS 2017x-explicit. Dynamic pipe fracture simulations were performed to determine fracture resistance curves (crack velocity as a function of pressure at constant CTOA) for an American Petroleum Institute (API) X80 steel pipe of diameter 914 mm to 1422 mm and thickness 13 mm to 26 mm. The model incorporated a user subroutine and shell elements. Backfill effects were modelled using smooth particle hydrodynamics and the flap pressure profile was modelled using experimental data from previous burst tests. Fracture resistance curves were compared with the gas decompression curve to determine the minimum arrest CTOA (point of tangency) for a given pipeline design (material, geometry, and gas). Results (arrest CTOA) of the given steel grade and design parameters (thickness, diameter, and backfill) are presented and compared with two previous arrest models that use the CTOA as fracture toughness parameter.
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Acton, Michael R., Phil J. Baldwin, Tim R. Baldwin, and Eric E. R. Jager. "The Development of the PIPESAFE Risk Assessment Package for Gas Transmission Pipelines." In 1998 2nd International Pipeline Conference. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/ipc1998-2000.
Повний текст джерелаАнотація:
PIPESAFE is a knowledge based hazard and risk assessment package for gas transmission pipelines, which has been developed jointly by an international group of gas transmission companies. PIPESAFE has been developed from the BG (formerly British Gas) TRANSPIRE package, to produce an integrated assessment tool for use on PCs. which includes a range of improvements and additional models backed by large scale experimentation. This paper describes the development of the PIPESAFE package, and the formulation and validation of the mathematical models included within it.
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Bertaglia, Giulia. "Augmented fluid-structure interaction systems for viscoelastic pipelines and blood vessels." In VI ECCOMAS Young Investigators Conference. València: Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.13450.
Повний текст джерелаАнотація:
Mathematical models and numerical methods are a powerful resource for better understanding phenomena and processes throughout the fluid dynamics field, allowing significant reductions in the costs, which would otherwise be required to perform laboratory experiments, and even allowing to obtain useful data that could not be gathered through measurements.The correct characterization of the interactions that occur between the fluid and the wall that surrounds it is a fundamental aspect in all contexts involving deformable ducts, which requires the utmost attention at every stage of both the development of the computational method and the interpretation of the results and their application to cases of practical interest.In this work, innovative mathematical models able to predict the behavior of the fluid-structure interaction (FSI) mechanism that underlies the dynamics of flows in different compliant ducts is presented. Starting from the purely civil engineering sector, with the study of plastic water pipelines, the final application of the proposed tool is linked to the medical research field, to reproduce the mechanics of blood flow in both arteries and veins. With this aim, various linear viscoelastic models, from the simplest to the more sophisticated, have been applied and extended to obtain augmented FSI systems in which the constitutive equation of the material is directly embedded into the system as partial differential equation [1]. These systems are solved recurring to second-order Finite Volume Methods that take into account the recent evolution in the computational literature of hyperbolic balance laws systems [2]. To avoid the loss of accuracy in the stiff regimes of the proposed systems, asymptotic-preserving IMEX Runge-Kutta schemes are considered for the time discretization, which are able to maintain the consistency and the accuracy in the diffusive limit, without restrictions due to the scaling parameters [3]. The models have been extensively validated through different types of test cases, highlighting the advantages of using the augmented formulation of the system of equations. Furthermore, comparisons with experimental data have been considered both for the water pipelines scenario and the blood flow modeling, recurring to in-vivo measurements for the latter.REFERENCES[1] Bertaglia, G., Caleffi, V. and Valiani, A. Modeling blood flow in viscoelastic vessels: the 1D augmented fluid-structure interaction system. Comput. Methods Appl. Mech. Eng., 360(C):112772 (2020).[2] Bertaglia, G., Ioriatti, M., Valiani, A., Dumbser, M. and Caleffi, V. Numerical methods for hydraulic transients in visco-elastic pipes. J. Fluids Struct., 81:230-254 (2018).[3] Pareschi, L. and Russo, G. Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. J. Sci. Comput., 25:129-155 (2005).
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Soni, Prashant K., and Carl M. Larsen. "Investigating the Relevance of Strip-Theory for Pipelines Subjected to Vortex Induced Vibration." In ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/omae2008-57551.
Повний текст джерелаАнотація:
Empirical models for prediction of vortex induced vibrations (VIV) apply hydrodynamic coefficients to represent the fluid forces on the structure. The coefficients are found by measuring forces on a rigid cylinder under harmonic pure inline (IL) and pure cross flow (CF) forced motions, and presented as functions of non-dimensional motion amplitude and frequency. In the response analysis the forces at a specific cross-section are assumed to be defined by the motion of this cross-section, which implies that possible three-dimensional (3D) hydrodynamic effects are neglected. The approach is often referred to as ‘strip-theory’, which is a term originally used in ship hydrodynamics. Here, a classical method for calculation of motions and beam forces is based on the same type of simplification. The strip-theory has been used for VIV analysis both in combination with empirical coefficients but also combined with 2D numerical solutions of the Navier-Stokes equation for force calculation. The approach as such has never been verified and the loss of accuracy from neglecting 3D hydrodynamic effects has never been quantified. The purpose of the present work is to contribute to such verification. The investigation reported herein consists of three steps. – Experiments with a flexible beam subjected to VIV. Response amplitudes on CF and IL directions were measured so that the trajectories for several cross-sections along the beam could be found; – Measurement for hydrodynamic forces on a rigid cylinder that was forced to follow the same trajectories as found from the beam experiments; – Use of a finite element program to calculate the dynamic response of a flexible beam with the same properties as for the first test and subjected to forces from the second test. If the calculated response is found to be identified to the measured the verification exercise could be accepted as successful. Discrepancies between measured and calculated response might be caused by 3D hydrodynamic effects or poor quality of the experiments. The present study is a first attempt and the reported results do not lead to a firm conclusion.
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Zuo, Lili, Changchun Wu, Song Liu, Yong Jiang, and Xiaorui Zhang. "Predicting Monthly Energy Consumption of Crude Oil Pipelines Using Process Simulation and Optimization." In 2018 12th International Pipeline Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/ipc2018-78326.
Повний текст джерелаАнотація:
Based on process principles and the operational features of crude oil pipelines, this research developed mathematical models to optimize steady-state pipeline operation, to apportion monthly flow into daily or hourly flow rates, and to predict monthly energy consumption. Corresponding algorithms were also developed. Because these models and corresponding algorithms are process-based, they are suitable for predicting monthly energy consumption of existing isothermal and hot crude oil pipelines. The predicted monthly energy consumption of crude oil pipelines depends on which flow distribution method is used, which pumping operation scheme is used and which heating operation scheme is used, with different flow distributions, different pumping and heating operation scheme yielding a range of monthly energy consumption predictions for a given transportation volume. The minimum monthly energy consumption can be determined from these predictions, and the interval of the predictions can indicate the extent to which the flow rate fluctuation affects pipeline energy consumption. Both of these findings can be used by pipeline operators to reduce the amount of energy needed to operate crude oil pipelines.