Academic literature on the topic 'Bernoulli equation'

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Journal articles on the topic "Bernoulli equation"

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Bouchenak, Ahmed, Iqbal M. Batiha, Iqbal H. Jebril, Mazin Aljazzazi, Hamzeh Alkasasbeh, and Lahcen Rabhi. "Generalization of the Nonlinear Bernoulli Conformable Fractional Differential Equations with Applications." WSEAS TRANSACTIONS ON MATHEMATICS 24 (March 26, 2025): 168–80. https://doi.org/10.37394/23206.2025.24.17.

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In this work, we study a well-known nonlinear fractional differential equation—the nonlinear Bernoulli conformable fractional differential equation. We classify this equation into different categories and establish a fundamental lemma essential for proving our generalization. This generalization incorporates two methods: the Conformable Leibniz Method and the Conformable Bernoulli Method, both of which provide exact solutions for any nonlinear Bernoulli equation. Finally, we demonstrate the effectiveness of our approach by applying it to selected nonlinear Bernoulli conformable fractional diff
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Saha Ray, S., and S. Behera. "A novel technique based on Bernoulli wavelets for numerical solutions of two-dimensional Fredholm integral equation of second kind." Engineering Computations 36, no. 6 (2019): 1798–819. http://dx.doi.org/10.1108/ec-11-2018-0500.

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Purpose A novel technique based on Bernoulli wavelets has been proposed to solve two-dimensional Fredholm integral equation of second kind. Bernoulli wavelets have been created by dilation and translation of Bernoulli polynomials. This paper aims to introduce properties of Bernoulli wavelets and Bernoulli polynomials. Design/methodology/approach To solve the two-dimensional Fredholm integral equation of second kind, the proposed method has been used to transform the integral equation into a system of algebraic equations. Findings Numerical experiments shows that the proposed two-dimensional wa
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Filipovic, Mirjana, and Miomir Vukobratovic. "Expansion of source equation of elastic line." Robotica 26, no. 6 (2008): 739–51. http://dx.doi.org/10.1017/s0263574708004347.

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SUMMARYThe paper is concerned with the relationship between the equation of elastic line motion, the “Euler-Bernoulli approach” (EBA), and equation of motion at the point of elastic line tip, the “Lumped-mass approach” (LMA). The Euler–Bernoulli equations (which have for a long time been used in the literature) should be expanded according to the requirements of the motion complexity of elastic robotic systems. The 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 consid
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DURAN, Serbay, and Doǧan KAYA. "New Wave Solutions for Nonlinear Differential Equations using an Extended Bernoulli Equation as a New Expansion Method." ITM Web of Conferences 22 (2018): 01035. http://dx.doi.org/10.1051/itmconf/20182201035.

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In this paper, we presented a new expansion method constructed by taking inspiration for the Kudryashov method. Bernoulli equation is chosen in the form of F′=BFn-AF and some expansions are made on the auxiliary Bernoulli equation which is used in this method. In this auxiliary Bernoulli equation some wave solutions are obtained from the shallow water wave equation system in the general form of “n-order”. The obtained new results are simulated by graphically in 3D and 2D. To sum up, it is considered that this method can be applied to the several of nonlinear evolution equations in mathematics
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Dao, Cong-Binh, and Viet-Chinh Mai. "Applications of common energy variability methods for establishing the equilibrium equation in mechanics." IOP Conference Series: Materials Science and Engineering 1289, no. 1 (2023): 012067. http://dx.doi.org/10.1088/1757-899x/1289/1/012067.

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Abstract The principles of the energy variation method are commonly utilized in mechanics. Energy is a scalar variable, so these are more convenient and simple to establish the equilibrium equations compared to vector-based approaches (i.e. using forces and displacements). The present article applied the theorem of the energy variation method in order to set the equilibrium equations for various complicated problems. Four examples of applying the energy variation method include the differential equation of the Euler – Bernoulli beam based on the energy method, the system of Equilibrium Equatio
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Erdem, Bicer, and Salih Yalcinbas. "A matrix approach to solving hyperbolic partial differential equations using Bernoulli polynomials." Filomat 30, no. 4 (2016): 993–1000. http://dx.doi.org/10.2298/fil1604993e.

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The present study considers the solutions of hyperbolic partial differential equations. For this, an approximate method based on Bernoulli polynomials is developed. This method transforms the equation into the matrix equation and the unknown of this equation is a Bernoulli coefficients matrix. To demostrate the validity and applicability of the method, an error analysis developed based on residual function. Also examples are presented to illustrate the accuracy of the method.
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Badeer, Henry S., and Costas E. Synolakis. "The Bernoulli‐Poiseuille equation." Physics Teacher 27, no. 8 (1989): 598–601. http://dx.doi.org/10.1119/1.2342887.

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Heys, Jeffrey J., Nicole Holyoak, Anna M. Calleja, Marek Belohlavek, and Hari P. Chaliki. "Revisiting the Simplified Bernoulli Equation." Open Biomedical Engineering Journal 4, no. 1 (2010): 123–28. http://dx.doi.org/10.2174/1874120701004010123.

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Background: The assessment of the severity of aortic valve stenosis is done by either invasive catheterization or non-invasive Doppler Echocardiography in conjunction with the simplified Bernoulli equation. The catheter measurement is generally considered more accurate, but the procedure is also more likely to have dangerous complications. Objective: The focus here is on examining computational fluid dynamics as an alternative method for analyzing the echo data and determining whether it can provide results similar to the catheter measurement. Methods: An in vitro heart model with a rigid orif
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Abdelrahman, Mahmoud A. E. "A note on Riccati-Bernoulli Sub-ODE method combined with complex transform method applied to fractional differential equations." Nonlinear Engineering 7, no. 4 (2018): 279–85. http://dx.doi.org/10.1515/nleng-2017-0145.

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AbstractIn this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Zoomeron equation and the (3 + 1) dimensional space-time fractional mKDV-ZK equation. These nonlinear fractional equations can be turned into another nonlinear ordinary differential equation by complex transform method. This method is efficient and powerful in solving wide classes of nonlinear fractional order equations. The Riccati-Ber
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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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Dissertations / Theses on the topic "Bernoulli equation"

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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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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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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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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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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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Books on the topic "Bernoulli equation"

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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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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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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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Bartolomeo, Jerry. Uniform stabilization of the Euler-Bernoulli equation with active Dirichlet and non-active Neumann boundary feedback controls. 1988.

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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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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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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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Book chapters on the topic "Bernoulli equation"

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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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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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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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Bakhtiyarov, Sayavur I. "Topic FM-8: Application of Bernoulli Equation." In Solving Practical Engineering Mechanics Problems: Fluid Mechanics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-031-79697-5_8.

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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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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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Pathak, Maheshwar, and Pratibha Joshi. "High-Order Compact Finite Difference Scheme for Euler–Bernoulli Beam Equation." In Harmony Search and Nature Inspired Optimization Algorithms. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0761-4_35.

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Li, Wen L., and Weiming Sun. "The Generalized Fourier Series Solutions of the Euler-Bernoulli Beam Equation." In Fourier Methods in Science and Engineering. CRC Press, 2022. http://dx.doi.org/10.1201/9781003194859-4.

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Charão, R. C., E. Bisognin, V. Bisognin, and A. F. Pazoto. "Asymptotic Behavior of a Bernoulli-Euler Type Equation with Nonlinear Localized Damping." In Progress in Nonlinear Differential Equations and Their Applications. Birkhäuser Basel, 2005. http://dx.doi.org/10.1007/3-7643-7401-2_5.

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Conference papers on the topic "Bernoulli equation"

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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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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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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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Li, Jing, and Zhi-Xiong Zhang. "State observation problem for the Euler-Bernoulli plate equation." In 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC). IEEE, 2009. http://dx.doi.org/10.1109/cdc.2009.5400147.

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Goharzadeh, Afshin, Arman Molki, Liang Wang, Peter Rodgers, and Shrinivas Bojanampati. "Teaching the Concept of Bernoulli Equation Using Particle Image Velocimetry (PIV)." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-40312.

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Particle Image Velocimetry (PIV), a state-of-the-art flow visualization technique, is used in this paper to demonstrate the concept of the Bernoulli equation which is one the oldest and most widely used equations in fluid mechanics. The experiment is based on the venturi effect to permit application of the Bernoulli equation to a laboratory scale test facility. The experimental set-up consists of a horizontal, straight transparent pipe with a venturi tube (contraction and expansion of the pipe diameter). Both water and air pipe flows are characterized. Students are required to measure and pred
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Xue, Hui, and H. Khawaja. "Analytical study of sandwich structures using Euler–Bernoulli beam equation." In ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Author(s), 2017. http://dx.doi.org/10.1063/1.4972668.

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Guo, Bao-Zhu, and Tingting Meng. "Robust output feedback Control for an Euler-Bernoulli Beam Equation." In 2020 American Control Conference (ACC). IEEE, 2020. http://dx.doi.org/10.23919/acc45564.2020.9147416.

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Recktenwald, Gerald W., Robert C. Edwards, Douglas Howe, and Jenna Faulkner. "A Simple Experiment to Expose Misconceptions About the Bernoulli Equation." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10964.

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A series of laboratory exercises has been developed to aid in the teaching of thermal and fluid sciences to undergraduate engineers. The exercises use simple hardware and a guided-inquiry approach to expose student misconceptions and to develop deeper understanding of basic concepts. This paper focuses on one of the laboratory exercises, which uses a simple duct with a sudden expansion to demonstrate the error caused by misapplication of the Bernoulli equation. The apparatus and the laboratory exercise are described. Learning gain measurements and results of attitude surveys are presented. The
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Reports on the topic "Bernoulli 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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