Relevant bibliographies by topics / Bernoulli's equation

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Bernoulli's equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Bernoulli's equation"

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P., S. Gunvant. "Evolution of Bernoulli's Equation in Modern Fluid Dynamics." Research and Applications of Thermal Engineering 7, no. 2 (2024): 28–32. https://doi.org/10.5281/zenodo.11915448.

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<em>Bernoulli's Equation, a cornerstone of fluid dynamics, encapsulates the principle of energy conservation in fluid flow and continues to be a vital tool in engineering and scientific analysis. This research paper examines the fundamental aspects and broad applications of Bernoulli's Equation in modern fluid dynamics. Starting with its derivation and theoretical underpinnings, the study explores its role in analyzing fluid behaviour in various scenarios, from aerodynamics and hydrodynamics to complex turbulent flow situations. Key applications such as in aviation, hydraulic systems, and weat
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Putra, Valentinus Galih Vidia, Andrian Wijayono, Juliany Ningsih Mohamad, Irwan Irwan, and Cahaya Rosyidan. "Penerapan Fisika Komputasi dengan MATLAB/Simulink pada Pemodelan Infeksi Wabah COVID-19 di Indonesia melalui Modifikasi Persamaan Differensial Bernoulli." Jurnal Teori dan Aplikasi Fisika 8, no. 2 (2020): 233–44. http://dx.doi.org/10.23960/jtaf.v8i2.2513.

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The application of physics, in particular, the topic of differential equations is commonly used in mathematics, physics, engineering, and various other sciences to explain a phenomenon in a system, to produce a form of simulation and prediction of a fairly good mathematical equation is needed. This paper examines the use of MATLAB / Simulink to assist in modeling the solution of the differential equation problems by providing a case of mathematical modeling in the analysis of the COVID-19 plague in Indonesia in 2020 with the modification of the Bernoulli equation. In this study, it can be conc
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Filipovic, Mirjana, and Ana Djuric. "Whole analogy between Daniel Bernoulli solution and direct kinematics solution." Theoretical and Applied Mechanics 37, no. 1 (2010): 49–78. http://dx.doi.org/10.2298/tam1001049f.

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In this paper, the relationship between the original Euler-Bernoulli's rod equation and contemporary knowledge is established. The solution which Daniel Bernoulli defined for the simplest conditions is essentially the solution of 'direct kinematics'. For this reason, special attention is devoted to dynamics and kinematics of elastic mechanisms configuration. The Euler-Bernoulli equation and its solution (used in literature for a long time) should be expanded according to the requirements of the mechanisms motion complexity. The elastic deformation is a dynamic value that depends on the total m
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Shah, R., and N. Irshad. "On the Hyers–Ulam stability of Bernoulli’s differential equation." Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, no. 12 (January 4, 2025): 85–93. https://doi.org/10.26907/0021-3446-2024-12-85-93.

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The aim of this paper is to present the results on the Hyers–Ulam–Rassias stability and the Hyers–Ulam stability for Bernoulli's differential equation. The argument makes use of a fixed point approach. Some examples are given to illustrate the main results.
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Hicks, J. W., and H. S. Badeer. "Gravity and the circulation: "open" vs. "closed" systems." American Journal of Physiology-Regulatory, Integrative and Comparative Physiology 262, no. 5 (1992): R725—R732. http://dx.doi.org/10.1152/ajpregu.1992.262.5.r725.

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The elementary principles of liquid dynamics are described by the equations of Bernoulli and Poiseuille. Bernoulli's equation deals with nonviscous liquids under steady streamline flow. Pressures in such flows are related to gravity and/or acceleration. Changes in elevation affect the gravitational potential energy of the liquid and the velocity of flow determines the kinetic energy. The sum of these three factors represented in the Bernoulli equation remains constant, but the variables are interconvertible. In contrast, the Poiseuille equation describes the pressures related to viscous resist
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Filipovic, Mirjana. "New form of the Euler-Bernoulli rod equation applied to robotic systems." Theoretical and Applied Mechanics 35, no. 4 (2008): 381–406. http://dx.doi.org/10.2298/tam0804381f.

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This paper presents a theoretical background and an example of extending the Euler-Bernoulli equation from several aspects. Euler-Bernoulli equation (based on the known laws of dynamics) should be supplemented with all the forces that are participating in the formation of the bending moment of the considered mode. The stiffness matrix is a full matrix. Damping is an omnipresent elasticity characteristic of real systems, so that it is naturally included in the Euler-Bernoulli equation. It is shown that Daniel Bernoulli's particular integral is just one component of the total elastic deformation
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Ahmed, Akram Abdalwahid, and Abdul Khaliq Al-Juboury. "Bernoulli's polynomials Approach for Special Type of Integro Differential Equation." Al-Mustansiriyah Journal of Science 33, no. 1 (2022): 57–61. http://dx.doi.org/10.23851/mjs.v33i1.1078.

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In this paper, Bernoulli's polynomials approach is employed for solving approximately linear Fractional Fredholm integro-differential equations via Petrove-Glerkain method. The Fractional derivatives are described in the sense Caputo. The approximate solution is compared with the exact solution to confirm the validity and efficiency of the method to a same as before. Some illustrative examples are presented.
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Lin, T. W., and H. Lin. "Newton's Laws of Motion Based Substantial Aether Theory of the Universal Gravity Force." Journal of Mechanics 30, no. 3 (2014): 315–25. http://dx.doi.org/10.1017/jmech.2014.19.

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ABSTRACTEven though the universal gravity force has been formulated and used for more than three hundred years, the cause of the universal gravity force has not been fully understood. This paper proposes a substantial aether model to derive universal gravity force based on Newton's laws of motion and Bernoulli's equation. The authors suggest that every aether particle has a mass and occupies a volume in space. Every aether particle has translational movement and particle spin movement. The particle spin movement does not produce the universal gravity force. The translational movement is simila
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Salamah, Ahmed, Malath F. Alaswad, and Rasha Dallah. "A Study of a Neutrosophic Bernoulli's and Recati equations by Using the One-Dimensional Geometric AH-Isometry." Journal of Neutrosophic and Fuzzy Systems 5, no. 1 (2023): 30–40. http://dx.doi.org/10.54216/jnfs.050104.

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In this paper, the definition of a Neutrosophic Differential Equation by Using the One-Dimensional Geometric AH-Isometry. The main objective is define a Neutrosophic Bernoulle's and Recati identical linear differential equation and find solutions for this equation.
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March, N. H., and B. V. Paranjape. "A Microscopic Generalization of Bernoulli's Equation to Include Low-Order Density Gradients." Physics and Chemistry of Liquids 28, no. 3 (1994): 201–6. http://dx.doi.org/10.1080/00319109408034669.

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Dissertations / Theses on the topic "Bernoulli's equation"

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Ndiaye, Moctar. "Stabilisation et simulation de modèles d'interaction fluide-structure." Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30323/document.

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L'objet de cette thèse est l'étude de la stabilisation de modèles d'interaction fluide-structure par des contrôles de dimension finie agissant sur la frontière du domaine fluide. L'écoulement du fluide est décrit par les équations de Navier-Stokes incompressibles tandis que l'évolution de la structure, située à la frontière du domaine fluide, satisfait une équation d'Euler-Bernoulli avec amortissement. Dans le chapitre 1, nous étudions le cas où le contrôle est une condition aux limites de Dirichlet sur les équations du fluide (contrôle par soufflage/aspiration). Nous obtenons des résultats de
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Chellali, Mustapha. "Congruences, nombres de Bernoulli et polynômes de Bessel." Université Joseph Fourier (Grenoble ; 1971-2015), 1989. http://www.theses.fr/1989GRE10091.

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En premiere partie, on donne des congruences entre nombres de bernoulli-hcowitz dans le cas supersingulier. En deuxieme partie, on montre que la suite des nombres de bernoulli verifie des formules de recurrence qui servent a tester si un nombre premier est irregulier. En troisieme partie, on etudie les zeros des polynomes de bessel generalises, en particulier on encadre un zero reel, apres developpement asymptotique, et on donne des estimations uniformes des valeurs de ces polynomes
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Barrachina, Sergio, Peter Benner, and Enrique S. Quintana-Ortí. "Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign Function." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601684.

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We investigate the solution of large-scale generalized algebraic Bernoulli equations as those arising in control and systems theory in the context of stabilization of linear dynamical systems, coprime factorization of rational matrix-valued functions, and model reduction. The algorithms we propose, based on a generalization of the Newton iteration for the matrix sign function, are easy to parallelize, yielding an efficient numerical tool to solve large-scale problems. Both the accuracy and the parallel performance of our implementations on a cluster of Intel Xeon processors are reported.
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Ammari, Kaïs. "Stabilisation d'une classe d'équations d'évolution du deuxième ordre en temps." Palaiseau, Ecole polytechnique, 2000. http://www.theses.fr/2000EPXX0001.

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Les methodes utilisees pour la stabilisation des systemes d'equations aux derivees partielles sont variees et necessitent des techniques fines d'analyse mathematiques. Dans le cas de systemes de dimension finie avec capteurs et actionneurs co-localises, il est connu que la stabilisabilite est equivalente a la controlabilite exacte du systeme. Ce resultat a ete generalise par a. Haraux pour les systemes de dimension infinie, avec l'hypothese que l'operateur de controle est borne. Le principal resultat de ma these est de generaliser ce resultat a une classe d'operateurs de controle non bornes. C
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Rydström, Sara. "Regularization of Parameter Problems for Dynamic Beam Models." Licentiate thesis, Växjö University, School of Mathematics and Systems Engineering, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-7367.

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<p>The field of inverse problems is an area in applied mathematics that is of great importance in several scientific and industrial applications. Since an inverse problem is typically founded on non-linear and ill-posed models it is a very difficult problem to solve. To find a regularized solution it is crucial to have <em>a priori</em> information about the solution. Therefore, general theories are not sufficient considering new applications.</p><p>In this thesis we consider the inverse problem to determine the beam bending stiffness from measurements of the transverse dynamic displacement. O
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Evans, Katie Allison. "Reduced Order Controllers for Distributed Parameter Systems." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/11063.

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Distributed parameter systems (DPS) are systems defined on infinite dimensional spaces. This includes problems governed by partial differential equations (PDEs) and delay differential equations. In order to numerically implement a controller for a physical system we often first approximate the PDE and the PDE controller using some finite dimensional scheme. However, control design at this level will typically give rise to controllers that are inherently large-scale. This presents a challenge since we are interested in the design of robust, real-time controllers for physical systems. Therefore,
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Šimák, Jakub. "Měření průtoku vzduchu pomocí víceotvorových rychlostních sond." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2011. http://www.nusl.cz/ntk/nusl-219230.

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Master work deals with the measurement of fluid flow (particularly air) pipe, with orifice and multiport averaging probe. The theoretical part is followed by practical, which verifies the properties of the measured system. In a next part of semestral work are verifies the properties of multiport averaging probes Vavra s.r.o. MQS-011 and Rosemount Annubar 485. Measured values from probes are compared.
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Johnson, William Richard. "Active Structural Acoustic Control of Clamped and Ribbed Plates." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/4011.

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A control metric, the weighted sum of spatial gradients (WSSG), has been developed for use in active structural acoustic control (ASAC). Previous development of WSSG [1] showed that it was an effective control metric on simply supported plates, while being simpler to measure than other control metrics, such as volume velocity. The purpose of the current work is to demonstrate that the previous research can be generalized to plates with a wider variety of boundary conditions and on less ideal plates. Two classes of plates have been considered: clamped flat plates, and ribbed plates. On clamped
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Fortaleza, Eugênio. "Contrôle actif de structures offshores : positionnement et réduction des vibrations induites par vortex." Phd thesis, École Nationale Supérieure des Mines de Paris, 2009. http://pastel.archives-ouvertes.fr/pastel-00006011.

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L'exploration pétrolière en eaux profondes crée des nouveaux défis technologiques. Certains de ces problèmes sont liés à des très longues structures servant à relier la plate-forme à la tête de puits. L'augmentation de la profondeur implique des structures plus longues et, par conséquent, plus souple. Deux problèmes liés à ce type de structure sont étudiés dans ce rapport : le positionnement de la structure pour sa connexion à la tête de puits (opération de rentrée), et les vibrations induites par vortex. La première partie de ce rapport est consacrée au contrôle de l'opération de rentrée. Deu
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Fortaleza, Eugênio. "Active control applied to offshore structures : positioning and attenuation of vortex induced vibrations." Paris, ENMP, 2009. https://pastel.archives-ouvertes.fr/pastel-00006011.

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L'exploration pétrolière en eaux profondes crée des nouveaux défis technologiques. Certains de ces problèmes sont liés à des très longues structures servant à relier la plate-forme à la tête de puits. L'augmentation de la profondeur implique des structures plus longues et, par conséquent, plus souple. Deux problèmes liés à ce type de structure sont étudiés dans ce rapport : le positionnement de la structure pour sa connexion à la tête de puits (opération de rentrée), et les vibrations induites par vortex. La première partie de ce rapport est consacrée au contrôle de l'opération de rentrée. Deu
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Books on the topic "Bernoulli's equation"

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Smith, Ralph C. A fully Sinc-Galerkin method for Euler-Bernoulli beam models. Institute for Computer Applications in Science and Engineering, 1990.

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Vol'vak, Sergey. Hydraulics. Workshop. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1045068.

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Study guide corresponds to the program discipline "Hydraulics". Consists of two parts and is for carrying out practical and laboratory works. &#x0D; The first part provides material on the basics of the calculation of hydraulic machines, hydraulic drives of agricultural machinery, systems of land reclamation and hydraulic transport for development of skills of application of theoretical information to solve specific technical problems and development practices of hydraulic calculations.&#x0D; The second part contains material for the study of the methods and instruments for measuring pressure,
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Yudaev, Vasiliy. Hydraulics. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/996354.

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The textbook corresponds to the general education programs of the general courses "Hydraulics" and "Fluid Mechanics". The basic physical properties of liquids, gases, and their mixtures, including the quantum nature of viscosity in a liquid, are described; the laws of hydrostatics, their observation in natural phenomena, and their application in engineering are described. The fundamentals of the kinematics and dynamics of an incompressible fluid are given; original examples of the application of the Bernoulli equation are given. The modes of fluid motion are supplemented by the features of the
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Escudier, Marcel. Bernoulli’s equation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0007.

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In this chapter Newton’s second law of motion is used to derive Euler’s equation for the flow of an inviscid fluid along a streamline. For a fluid of constant density ρ‎ Euler’s equation can be integrated to yield Bernoulli’s equation: p + ρ‎gz′ + ρ‎V2 = pT which shows that the sum of the static pressure p, the hydrostatic pressure ρ‎gz and the dynamic pressure ρ‎V2/2 is equal to the total pressure pT. The combination p + ρ‎V2/2 is an important quantity known as the stagnation pressure. Each of the terms on the left-hand side of Bernoulli’s equation can be regarded as representing different fo
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Escudier, Marcel. Engineering applications of Bernoulli’s equation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0008.

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In this chapter it is shown how Bernoulli’s equation can be applied to practical fluid-flow problems. In the case of internal flows, such as that through a Venturi tube, it is also necessary to use the continuity equation to relate changes in cross-sectional area to changes in flow velocity. For liquid flows it is shown that for sufficiently high flowspeeds the static pressure could fall below the saturated vapour pressure and lead to cavitation. The designs of various flow-measuring devices, including the orifice-plate flowmeter, the Venturi-tube flowmeter, and the Pitot tube, are based on Be
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Escudier, Marcel. Engineering applications of the linear momentum equation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0010.

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In this chapter a method is shown for applying the linear momentum equation, together with the continuity equation and either Bernoulli’s equation or some other information about static pressure, to the analysis of a diverse range of practical problems. A key aim is to demonstrate that it is possible to establish a relatively simple theoretical basis which can give quite accurate and useful information about the performance of such complex machines as jet and rocket engines, the jet pump, and the Pelton turbine. Other examples include flow through a sudden enlargement, a convergent nozzle, a p
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Bartolomeo, Jerry. Uniform stabilization of the Euler-Bernoulli equation with active Dirichlet and non-active Neumann boundary feedback controls. 1988.

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Lancellotti, Patrizio, and Bernard Cosyns. Right Heart Function and Pulmonary Artery Pressure. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780198713623.003.0009.

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The function of the RV is to generate pressure to facilitate blood flow against the resistive forces of the pulmonary vasculature. RV function is particularly influenced by loading conditions. There are many causes of RV dysfunction and this chapter describes them. Most RV pathologies involve a degree of both pressure and volume overload. This chapter also examines the aetiology of RV volume overload along with specific echocardiographic findings. It explains the aetiology of RV pressure overload and how to measure RV pressures using the Bernoulli equation and alternative measures. Echocardiog
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Book chapters on the topic "Bernoulli's equation"

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Rapp, Christoph. "Basic equations." In Hydraulics in Civil Engineering. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54860-4_5.

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AbstractIn Chapter 5 basic fluid mechanical equations are derived step by step. First, the continuity equation is deduced with the help of a ballon which passes through a constriction. Second, Cauchy’s equation of motion is set up with the stresses acting on a fluid volume which is described once more with a balloon that moves upon application of stress and gravity. The constitutive equation which describes the properties of the fluid considered is elaborated also from the scratch. With the above mentioned steps, it is easy to reach to the Euler and Navier-Stokes equations from which the Berno
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Westerhof, Nicolaas, Nikolaos Stergiopulos, and Mark I. M. Noble. "Bernoulli’s Equation." In Snapshots of Hemodynamics. Springer US, 2010. http://dx.doi.org/10.1007/978-1-4419-6363-5_3.

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Westerhof, Nicolaas, Nikolaos Stergiopulos, Mark I. M. Noble, and Berend E. Westerhof. "Bernoulli’s Equation." In Snapshots of Hemodynamics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91932-4_3.

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Sultanian, Bijay K. "Bernoulli Equation." In Fluid Mechanics and Turbomachinery. CRC Press, 2021. http://dx.doi.org/10.1201/9781003053996-3.

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Rapp, Christoph. "Steady free surface flow." In Hydraulics in Civil Engineering. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54860-4_13.

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AbstractSteady free surface flow is Chapter 13’s topic which starts with the consideration of sub- and supercritical flow. From the Bernoulli equation for free surfaces, we make our way to the consideration of flows under sluice gates or over weirs, through syphon weirs or Venturi channels. Subsequently steady-state, uniform conditions and the describing equations are elaborated before nonuniform conditions are discussed. The chapter ends with the direct step method, for which, again, open-source codes are provided. At the end of the chapter the reader can solve problems of nonuniform free sur
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Chen, Jingkai. "Peridynamics Beam Equation." In Nonlocal Euler–Bernoulli Beam Theories. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69788-4_3.

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Rapp, Christoph. "Bernoulli equation and energy diagrams." In Hydraulics in Civil Engineering. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54860-4_8.

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AbstractIn Chapter 8 water finally flows. Friction-free flow is described by the Bernoulli equation, where energy diagrams are also introduced. The base for pipe flow is laid and the phenomenon of cavitation is explained.
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Chen, Jingkai. "Nonlocal Beam Equations." In Nonlocal Euler–Bernoulli Beam Theories. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69788-4_2.

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Deville, Michel O. "Vorticity and Vortex Kinematics." In An Introduction to the Mechanics of Incompressible Fluids. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04683-4_4.

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AbstractThe concepts of vorticity and circulation are introduced. The three-dimensional governing equation for the vorticity is obtained. The generation of vorticity on the solid walls is analyzed in detail. For irrotational flows, the modeling rests upon Bernoulli equation. The flow behind a grid solved by Kovasznay provides a benchmark solution for numerical simulation. The chapter ends with the Taylor–Green vortex described by Clebsch potentials.
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Akimoto, Hajime, Yoshinari Anoda, Kazuyuki Takase, Hiroyuki Yoshida, and Hidesada Tamai. "Bernoulli’s Equation (Mechanics of Ideal Fluids)." In An Advanced Course in Nuclear Engineering. Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-55603-9_6.

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Conference papers on the topic "Bernoulli's equation"

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Arafah, St, Zahir Zainuddin, and Mukarramah Yusuf. "Visualization of River Flow Velocity Modelling Using Bernoulli's Equation with HSV Color Representation." In 2025 International Conference on Advancement in Data Science, E-learning and Information System (ICADEIS). IEEE, 2025. https://doi.org/10.1109/icadeis65852.2025.10933056.

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Wang, Shuman, Yanping Ning, Fanfan Zhang, and Amin Ma. "Simulation and Experimental Study of a Floating Buffer Based on Bernoulli Equation." In 2024 3rd International Symposium on Sensor Technology and Control (ISSTC). IEEE, 2024. https://doi.org/10.1109/isstc63573.2024.10824199.

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HORI, NORIYUKI, CAMILLE ALAIN RABBATH, and HUA JUN CHEN. "INVARIANT DISCRETIZATION OF A SYSTEM GOVERNED BY BERNOULLI'S DIFFERENTIAL EQUATION." In Proceedings of the 2004 International Conference (CDIC '04). WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702289_0049.

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Del Teso March, Roberto, Elena Gómez Sellés, Elvira Estruch-Juan, and Enrique Cabrera Marcet. "Energy equations to analyze pressurized water transport systems." In 2nd WDSA/CCWI Joint Conference. Editorial Universitat Politècnica de València, 2022. http://dx.doi.org/10.4995/wdsa-ccwi2022.2022.14781.

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Pressurized water systems are high energy demanders. They must deliver the demanded volume of water at the minimum service pressure. There is currently a marked change in production and energy tariffs, which is causing prices for water services to rise. In addition to the economic aspect, the energy demand of water systems has an environmental implication linked to gas emissions. With increasing demands, the climate change situation and the shift in energy tariffs, it is necessary to improve the efficiency of pressurized water transport systems. The lower the kWh required to supply, the more e
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Baidabekov, A., and E. Kemelbekova. "DETERMINING NEW HIGHER ORDER CURVES USING BIQUADRATIC TRANSFORMATION METHODS." In GRAPHICON 2024. Omsk State Technical University, 2024. http://dx.doi.org/10.25206/978-5-8149-3873-2-2024-755-760.

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The article deals with fourth-order curves and their construction methods. For the first time, the concept of four-order curves is mentioned in the works of ancient Greek scientists. One such scientist was Perseus who lived in the second century. He obtained fourth-order curves by cutting a torus with planes parallel to the axis. And Nicomedes, a Greek geometer who lived in the third century, used fourth-order curves (Nicomedes shells) to solve segment problems. At the same time, he used fourth-order curves to solve trigonometric problems, so he called this curve the "Nicomedian envelope". Sin
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Filipovic, Mirjana. "Euler-Bernoulli equation today." In 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2009). IEEE, 2009. http://dx.doi.org/10.1109/iros.2009.5353898.

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Almulhim, Abdulraof, and Jennifer Miskimins. "Numerical Investigation of the Perforation Friction Loss and Discharge Coefficient." In SPE Hydraulic Fracturing Technology Conference and Exhibition. SPE, 2023. http://dx.doi.org/10.2118/212329-ms.

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Abstract Among the efforts to optimize hydraulic fracturing treatments in multi-stage horizontal wells, extreme limited entry (XLE) perforating has evolved as a technique to increase the stage length and reduce the total stage count with no compromise to the well productivity. The frictional losses in such a choked fluid diversion practice is tremendous, and it is known to change dynamically due to the perforation erosion process. The orifice-based pressure drop equation, commonly used to estimate the perforation friction loss, contains a dimensionless kinetic energy correction factor, the coe
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Dang, Xingju, Xiaopan Li, and Wenliang Wu. "Bernoulli-Deng Equation and Its General Integral." In 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017). Atlantis Press, 2017. http://dx.doi.org/10.2991/ammsa-17.2017.66.

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Dababneh, Amer, Bilal Albarmawi, Marmon Abu Hammad, Amjed Zraiqat, and Tareq Hamadneh. "Conformable Fractional Bernoulli Differential Equation with Applications." In 2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology (JEEIT). IEEE, 2019. http://dx.doi.org/10.1109/jeeit.2019.8717456.

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Filipovic, Mirjana, and Miomir Vukobratovic. "New interpretation of the Euler-Bernoulli equation." In 2008 6th International Symposium on Intelligent Systems and Informatics (SISY 2008). IEEE, 2008. http://dx.doi.org/10.1109/sisy.2008.4664967.

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Reports on the topic "Bernoulli's equation"

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Chen, G., S. G. Krantz, D. W. Ma, C. E. Wayne, and H. H. West. The Euler-Bernoulli Beam Equation with Boundary Energy Dissipation. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada189517.

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Segletes, Steven B., and William P. Walters. A Note on the Application of the Extended Bernoulli Equation. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada360735.

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Klammler, Harald. Introduction to the Mechanics of Flow and Transport for Groundwater Scientists. The Groundwater Project, 2023. http://dx.doi.org/10.21083/gxat7083.

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Starting from Newton’s laws of motion and viscosity, this book is an introduction to fundamental aspects of fluid dynamics that are most relevant to groundwater scientists. Based on a perspective of driving versus resisting forces that govern the motion of a fluid, the author derives Darcy’s law for flow through porous media by drawing an analogy to Bernoulli’s law for fluid with negligible viscosity. By combining the effects of gravity and pressure, the author identifies hydraulic head as a convenient numerical quantity to represent the force driving groundwater flow. In contrast to the physi
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