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Journal articles on the topic 'Bernoulli's equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

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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6

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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8

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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9

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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10

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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11

Stiehm, Michael, Stefan Siewert, Finja Borowski, et al. "Development of a test setup for hydrodynamic characterization of hydrocephalus shunts." Current Directions in Biomedical Engineering 9, no. 1 (2023): 475–78. http://dx.doi.org/10.1515/cdbme-2023-1119.

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Abstract Implantation of a shunt system is the most common neurosurgical procedure for the treatment of hydrocephalus. Hydrodynamic parameters of hydrocephalus shunt systems are valuable variables to address patients' needs. In this report, we present a test setup to evaluate hydrodynamic parameters of hydrocephalus shunt systems. The test setup was validated using a stainless steel capillary and compared with the analytical solution according to Bernoulli's equation. It was demonstrated that the experimental setup is able to model the pressure in a physiologically relevant range. The measured

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Liu, Caishan, Zhen Zhao, and Bernard Brogliato. "Frictionless multiple impacts in multibody systems. II. Numerical algorithm and simulation results." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2101 (2008): 1–23. http://dx.doi.org/10.1098/rspa.2008.0079.

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Part I of this paper develops a framework that is an extension of the Darboux–Keller shock dynamics towards frictionless multiple impacts between bodies composed of rate-independent materials. A numerical algorithm is proposed in this paper, in which the impulsive differential equation is discretized with respect to the primary impulse corresponding to the contact with the highest potential energy, and the integration step size is estimated at the momentum level. This algorithm respects the energetic constraints and avoids the stiff ordinary differential equation problem arising by directly us

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13

Sowayan, Ahmed S., and Khalid A. Alsaif. "Modeling of the Transient Response for Compressible Air Cushion Vehicles (ACV)." Applied Mechanics and Materials 152-154 (January 2012): 560–67. http://dx.doi.org/10.4028/www.scientific.net/amm.152-154.560.

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A model for compressible Air Cushion Vehicles (ACV) is presented. In this model the compressible Bernoulli's equation and the Newton's second law of motion are used to predict the dynamic behavior of the heave response of the ACV in both time and frequency domains. The mass flow rate inside the air cushion of this model is assumed to be constant. The self excited response and the cushion pressure of the ACV is calculated to understand the behavior of the system in order to assist in the design stage of such systems. It is shown in this study that the mass flow rate and the length of the vehicl

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Massalha, Taha, and Rafael M. Digilov. "The shape function of a free-falling laminar jet: Making use of Bernoulli's equation." American Journal of Physics 81, no. 10 (2013): 733–37. http://dx.doi.org/10.1119/1.4819196.

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15

Gaith, Mohamed. "The Vibration of Tubular Beam Conveying Fluid with Variable Cross Section." Periodica Polytechnica Mechanical Engineering 65, no. 1 (2020): 56–62. http://dx.doi.org/10.3311/ppme.17066.

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The dynamics and stability of flow induced vibration of flow conveying in pipes particularly in case of high velocity flow may lead to severe damage. Predicting the circular natural frequencies and critical fluid velocities is an important tool in design and prevent system failures. In this study transverse dynamic response of simply supported pipe with variable tubular cross sectional area carrying fluid with a constant flow rate is investigated. Euler Bernoulli's beam theory is used to model the pipe. Hamilton's principle will be used to produce the governing equation of motion for the syste

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16

Scholle, Markus, André Haas, and Philip H. Gaskell. "A first integral of Navier–Stokes equations and its applications." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2125 (2010): 127–43. http://dx.doi.org/10.1098/rspa.2010.0157.

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Although it is well known that Bernoulli's equation is obtained as the first integral of Euler's equations in the absence of vorticity and that in the case of non-vanishing vorticity a first integral of them can be found using the Clebsch transformation for inviscid flow, generalization of the procedure for viscous flow has remained elusive. Accordingly, in this paper, a first integral of the Navier–Stokes equations for steady flow is constructed. In the case of a two-dimensional flow, this is made possible by formulating the governing equations in terms of complex variables and introducing a

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Le, Duong Van, Dat Duy Nguyen, and Toan Van Mai. "Investigation of heave dynamics of an air cushion vehicle segment skirt." Science and Technology Development Journal 20, K5 (2017): 23–29. http://dx.doi.org/10.32508/stdj.v20ik5.1154.

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Air Cushion Vehicle (ACV) is a moving vehicle on airbags, which can travel on land and on water to transport people, goods and equipment. An important requirement for ACVs is to: increase reliability and longevity, reduce operating costs, stability and mobility. In this paper, a model for the dynamic behavior of air cushion vehicles segment skirt is presented. In this model, the compressible Bernoulli's equation, Newton's second law of motion are used to predict the dynamic behavior of the air cushion vehicles. Based on the developed model, the heave dynamics parameters of the air cushion vehi

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18

Hien, Vu Quoc, Tran Ich Thinh, and Nguyen Manh Cuong. "Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid." Vietnam Journal of Mechanics 38, no. 4 (2016): 249–65. http://dx.doi.org/10.15625/0866-7136/6954.

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A new continuous element (CE) formulation has been presented in this paper for the vibration analysis of cross-ply composite joined conical-cylindrical-conical shells containing fluid. Governing equations are obtained using thick shell theory of Midlin, taking into account the shear deflection effects. The velocity potential, Bernoulli's equation and impermeability condition have been applied to the shell-fluid interface to obtain an explicit expression for fluid pressure. The dynamic stiffness matrix has been built from which natural frequencies have been calculated. The appropriate expressio

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19

Shaikh, Naina Salar, Kamran Nazir Memon, Muhammad Suleman Sial та A. M. Siddiqui. "Exact solution on the impact of slip condition for unsteady tank drainage ﬂow of Ellis ﬂuid". VFAST Transactions on Mathematics 10, № 2 (2022): 201–12. http://dx.doi.org/10.21015/vtm.v10i2.1352.

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In this paper, we look into the effect of slip condition on isothermal and incompressible Ellis fluid of an unsteady tank drainage flow. The non-linear PDE (partial differential equation) is solved exactly by applying the governing continuity and momentum equations, subject to the proper boundary condition, using the separation of variables approach. Unique situations this model put out by Ellis fluid is used to develop concepts like Newtonian, Power law model, and Bingham Plastic model solution. On setting the slip parameterexact solution for Ellis fluid flow is retrivred as well as Newtonian

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20

TANAHASHI, Takahiko, and Yasushi IDO. "Fundamental nonlinear theory for micropolar electrically conducting fluids. 2nd report: Electromagnetic momentum, Gibbs' equation, Bernoulli's theorem." Transactions of the Japan Society of Mechanical Engineers Series B 57, no. 533 (1991): 66–73. http://dx.doi.org/10.1299/kikaib.57.66.

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21

Sneha, Dey, and Ghorai A. "A Comprehensive Study of Mass Accretion and Atmospheric Effect of Raindrop." Indian Journal of Advanced Physics (IJAP) 1, no. 3 (2022): 5–9. https://doi.org/10.54105/ijap.C1018.041322.

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The mass accretion of a raindrop in different layers of the atmosphere is not dealt with so far. A comprehensive brief study of the motion of raindrops through the atmosphere (i) without mass accretion, (ii) with mass accretion and (iii) finally pressure variation in the atmosphere with altitude using Bernoulli’s equation is illustrated. Acquirement of mass from moist air is mass accretion and mass accretion during the motion of raindrop through resistive medium holds an arbitrary power-law equation. Bernoulli’s equation when applied to it, the generalized first-order differential

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22

Spalart, P. "Induced drag and wake kinetic energy." Aeronautical Journal 112, no. 1127 (2008): 54. http://dx.doi.org/10.1017/s0001924000087753.

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This 2007 Lanchester Lecture covered a theoretical result, thought to be new and in print in the Journal of Fluid Mechanics, and some lines of thought on the interpretation of induced drag and recurring paradoxes which interfere with teaching ‘how wings work’. Some of these were presented in the author's 1998 Annual Review. The difficulties are not confined to drag, but also concern lift; they are no less severe in two dimensions than in three. The flow-field in the far wake of an aircraft is examined with the primary purpose of identifying lift and drag in a simple and unified manner, prefera

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Nurhayati, Nurhayati, Mauli Samita, and Suryani Harahap. "Pressure comparative analysis study through the Venture pipe with the difference diameter of the pipe." Jurnal Phi Jurnal Pendidikan Fisika dan Fisika Terapan 2, no. 2 (2021): 62. http://dx.doi.org/10.22373/p-jpft.v2i2.9955.

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The interesting phenomenon of a fluid flow in the venturimeter that has a different diameter of cappilaries pipe is that of a difference in fluid altitude, the velocity of flow in a pipe, as well as pressure. The study aims to analyze the relationship between the diameter of the capillaries pipe and the flow velocity, the height of the liquid and the pressure. The method in this research is experiment. After experiment, it is continued by calculating some variables using formulas and analyzing them. The conclution of this research is that if the diameter of the capillaries pipe is enlarged, th

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CANDELIER, FABIEN, FREDERIC BOYER, and ALBAN LEROYER. "Three-dimensional extension of Lighthill's large-amplitude elongated-body theory of fish locomotion." Journal of Fluid Mechanics 674 (March 11, 2011): 196–226. http://dx.doi.org/10.1017/s002211201000649x.

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The goal of this paper is to derive expressions for the pressure forces and moments acting on an elongated body swimming in a quiescent fluid. The body is modelled as an inextensible and unshearable (Kirchhoff) beam, whose cross-sections are elliptic, undergoing prescribed deformations, consisting of yaw and pitch bending. The surrounding fluid is assumed to be inviscid, and irrotational everywhere, except in a thin vortical wake. The Laplace equation and the corresponding Neumann boundary conditions are first written in terms of the body coordinates of a beam treating the body as a fixed surf

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BOUNIF, May Manal, and Abdelkader GASMI. "First order perturbation approach for the free surface flow over a step with large Weber number." INCAS BULLETIN 13, no. 2 (2021): 11–19. http://dx.doi.org/10.13111/2066-8201.2021.13.2.2.

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The problem of two-dimensional free surface flow of inviscid and incompressible fluid over a step is considered. The flow is assumed to be as steady and irrotational, the effect of the surface tension is considered, but the gravity force is neglected. This problem is characterized by the nonlinear condition given by Bernoulli's equation on the unknown free surface, which can be considered as part of the solution. The main purpose of this work is to give an approximate solution of this problem, by using the Hilbert transformation and the perturbation technique; the results are calculated for a

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Jang, Ji Sung, Se Hwan Park, and Duck Joo Lee. "Prediction of Fuselage Surface Pressures in Rotor–Fuselage Interactions Using an Integral Solution of Poisson Equation." Journal of the American Helicopter Society 59, no. 4 (2014): 1–11. http://dx.doi.org/10.4050/jahs.59.042001.

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The fuselage of a helicopter is strongly affected by the rotor and its wake under hovering and low-speed forward flight conditions. Unsteady loading is observed on the fuselage surface owing to the blade passing effect and periodic collision of the wake vortices. Panel and vortex methods were combined for simulating rotor–fuselage aerodynamic interaction. Although the panel method involves the use of Bernoulli's equation to obtain the surface pressure, it is difficult to consider the increase in stagnation pressure in the vortical flow region under the rotor. In this study, an integral solutio

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Gaberšek, Saša, and Dale R. Durran. "Gap Flows through Idealized Topography. Part I: Forcing by Large-Scale Winds in the Nonrotating Limit." Journal of the Atmospheric Sciences 61, no. 23 (2004): 2846–62. http://dx.doi.org/10.1175/jas-3340.1.

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Abstract Gap winds produced by a uniform airstream flowing over an isolated flat-top ridge cut by a straight narrow gap are investigated by numerical simulation. On the scale of the entire barrier, the proportion of the oncoming flow that passes through the gap is relatively independent of the nondimensional mountain height ε, even over that range of ε for which there is the previously documented transition from a “flow over the ridge” regime to a “flow around” regime. The kinematics and dynamics of the gap flow itself were investigated by examining mass and momentum budgets for control volume

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Fan, Cheng Fei, Yao Hua Wang, Rui Ma, Mian Jun Duan, and Xing Chang. "The Force State Analysis of the Service Door on an Airliner." Advanced Materials Research 798-799 (September 2013): 325–27. http://dx.doi.org/10.4028/www.scientific.net/amr.798-799.325.

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The crew emergency evacuation security system is a life-saving device, the ultimate function of which is to save the life of the aircraft crew in a new regional airliner at high altitude. The system is used to push the service door with translational motion for a suitable distance. Before the system was started, the force state of the service door was got with the fluid mechanics knowledge. When the system was started, after a period of pressure relief time, the aircraft cabin pressure was calculated with the Bernoulli's Equation. The movement trajectory and the force state of the service door

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Sherza, Jenan S. "Theoretical Investigation of The Major and Minor Losses in Pipes and Fittings." Babylonian Journal of Mechanical Engineering 2024 (March 20, 2024): 12–18. https://doi.org/10.58496/bjme/2024/003.

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The present study aims to investigate major pressure losses in pipes and minor losses in certain pipe fittings, such as sudden expansion. Initially, the relationships for calculating major and minor losses were derived by applying Bernoulli's equation to the studied components. Flow velocity, pipe diameter, and pipe length effects on major losses were examined. Additionally, the impact of velocity on minor losses in sudden expansion was analysed. The results demonstrated that major losses, represented by friction, significantly vary with changes in flow velocity, pipe diameter, and pipe length

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BONNEFOY, FÉLICIEN, MICHAEL H. MEYLAN, and PIERRE FERRANT. "Nonlinear higher-order spectral solution for a two-dimensional moving load on ice." Journal of Fluid Mechanics 621 (February 12, 2009): 215–42. http://dx.doi.org/10.1017/s0022112008004849.

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We calculate the nonlinear response of an infinite ice sheet to a moving load in the time domain in two dimensions, using a higher-order spectral method. The nonlinearity is due to the moving boundary, as well as the nonlinear term in Bernoulli's equation and the elastic plate equation. We compare the nonlinear solution with the linear solution and with the nonlinear solution found by Parau & Dias (J. Fluid Mech., vol. 460, 2002, pp. 281–305). We find good agreement with both solutions (with the correction of an error in the Parau & Dias 2002 results) in the appropriate regimes. We als

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CHRISTODOULIDES, P., and F. DIAS. "Impact of a rising stream on a horizontal plate of finite extent." Journal of Fluid Mechanics 621 (February 12, 2009): 243–58. http://dx.doi.org/10.1017/s0022112008004746.

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The steady flow of a stream emerging from a nozzle, hitting a horizontal plate and falling under gravity is considered. Depending on the length of the plate L and the Froude number F, the plate can either divert the stream or lead to its detachment. First, the problem is reformulated using conformal mappings. The resulting problem is then solved by a collocation Galerkin method; a particular form is assumed for the solution, and certain coefficients in that representation are then found numerically by satisfying Bernoulli's equation on the free surfaces at certain discrete points. The resultin

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Bretschneider, Charles L. "A THEORY FOR WAVES OF FINITE HEIGHT." Coastal Engineering Proceedings 1, no. 7 (2011): 9. http://dx.doi.org/10.9753/icce.v7.9.

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A theory for waves of finite height, presented in this paper, is an exact theory, to any order for which it is extended. The theory is represented by a summation liarmdnic series, each term of which is in an unexpanded form. The terms of the series when expanded result in an approximation of the exact theory, and this approximation is identical to Stokes' wave theory extended to the same order. The theory represents irrotational - divergenceless flow. The procedure is to select the form of equations for the coordinates of the particles in anticipation of later operations to be performed in the

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Bochkarev, S. A., S. V. Lekomtsev, and A. N. Senin. "Numerical modeling of natural vibrations of coaxial shells partially filled with fluid, taking into account the effects on the free surface." PNRPU Mechanics Bulletin, no. 1 (December 15, 2022): 23–35. http://dx.doi.org/10.15593/perm.mech/2022.1.03.

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This work is devoted to the numerical analysis of vertical elastic coaxial cylindrical shells completely or partially filled with a quiescent compressible fluid with account for sloshing of its free surface. The problem is solved in the axisymmetric formulation using a semi-analytical version of the finite element method. The fluid medium is described by the wave equation, which together with the conditions prescribed at its boundaries is reduced to the weak form by the Bubnov - Galerkin method. A mathematical formulation of the dynamic problem for thin-walled structures is developed using the

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Usatova, Olha, and Elena Strelnikova. "Simulation of liquid movement in cylindrical shells." 48, no. 48 (December 28, 2020): 81–88. http://dx.doi.org/10.26565/2304-6201-2020-48-08.

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The motion of a viscous incompressible fluid with constant coefficients in case of the Hagen-Poiseuille flow is considered in this paper. The equation of motion of the elastic shell in the absence of external perturbations is obtained on the basis of the Ostrogradsky-Hamilton principle. Assuming the Hagen-Poiseuille flow, the expression for the kinetic energy of a moving fluid in a nanotube is obtained, and the equations to determine oscillation frequencies of a tube with a fluid are constructed, that allows investigating the stability of motion. Using the Poiseuille formula it is possible to

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35

Sowayan, Ahmed. "Chaotic Assessment of the Heave and Pitch Dynamics Motions of Air Cushion Vehicles." International Journal of System Dynamics Applications 10, no. 4 (2021): 1–27. http://dx.doi.org/10.4018/ijsda.20211001.oa19.

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In this study, three degrees of freedom nonlinear air cushion vehicle (ACV) model is introduced to examine the dynamic behavior of the heave and pitch responses in addition to the cushion pressure of the ACV in both time and frequency domains. The model is based on the compressible flow Bernoulli's equation and the thermodynamics nonlinear isentropic relations along with the Newton’s second law of translation and rotation. In this study, the dynamical investigation was based on numerical simulation using the stiff ODE solvers of the Matlab software. The chaotic investigations of the proposed m

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Liu, Shixian. "Analysis of mechanical principle of banana ball." Theoretical and Natural Science 10, no. 1 (2023): 247–54. http://dx.doi.org/10.54254/2753-8818/10/20230353.

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The banana ball is a famous way to score goals in football matches. In the flight, the ball bypasses the defensive wall, giving the goalkeeper the illusion that the ball is far away from the goal, and then the ball will suddenly change direction. In order to improve the scoring probability and make training more efficient and scientific, in this article, the mechanics principle of banana ball is analyzed. A complete and comprehensive analysis of the ball motion from kick-out to flight in the air is presented. The analysis of flight considers the magnitudes of air resistance, Magnus force and B

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Yao, He Ming, and Sha Ru Jiang. "Study on Fuzzy PID Control of Amplitude Modulation Atomic Force Microscopy." Applied Mechanics and Materials 380-384 (August 2013): 472–75. http://dx.doi.org/10.4028/www.scientific.net/amm.380-384.472.

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According to the characteristics of probe motion of Amplitude Modulation Atomic Force Microscopy (AM-AFM), the model of AM-AFM probe dynamic process is obtained through Euler - Bernoulli's equation. Based on AM-AFMs negative feedback control system with a fuzzy PID control module, a complete AM-AFM system simulation platform is established. By using fuzzy system, fuzzy PID controller makes the real-time adjustment of PID parameters come true, that is, this method overcomes the difficulties of traditional PID parameter tuning and thus high-quality control effect is achieved. Moreover, this arti

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Panevnyk, D. O. "Determination of the characteristics of a jet pump during its asymmetric rotation in a well." Scientific Bulletin of Ivano-Frankivsk National Technical University of Oil and Gas, no. 2(51) (December 28, 2021): 55–65. http://dx.doi.org/10.31471/1993-9965-2021-2(51)-55-65.

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The hydraulic model of low-pressure jet pump working process for conditions of its asymmetric rotation is proposed on the basis of law of conservation of liquid momentum of parallel mixed potential flows with linear distribution of tangential velocities and radial displacement relative to borehole axis. In the process of derivation of the equation of pressure characteristic of low pressure jet pump at its asymmetrical rotation in a borehole the law of conservation of flow energy in the form of Bernoulli's equation and the law of continuity conservation of mixed currents have been used. To char

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Wang, Yan Qing, Xing Hui Guo, Zhen Sun, and Jian Li. "Stability and Dynamics of Axially Moving Unidirectional Plates Partially Immersed in a Liquid." International Journal of Structural Stability and Dynamics 14, no. 04 (2014): 1450010. http://dx.doi.org/10.1142/s0219455414500102.

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The stability and dynamics of an axially moving unidirectional plate partially immersed in a liquid and subjected to a nonlinear aerodynamic excitation are investigated. The method of singular functions is adopted to study the dynamic characteristics of the unidirectional plates with discontinuous characteristics. Nonlinearities due to large-amplitude plate motions are considered by using the classical nonlinear thin plate theory, with allowance for the effect of viscous structural damping. The velocity potential and Bernoulli's equation are used to describe the fluid pressure acting on the un

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CHRISTODOULIDES, PAUL, and FRÉDÉRIC DIAS. "Impact of a falling jet." Journal of Fluid Mechanics 657 (July 6, 2010): 22–35. http://dx.doi.org/10.1017/s0022112010001291.

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Given the complexity of the problem of the impact of a mass of liquid on a solid structure, various simplified models have been introduced in order to obtain some insight on particular aspects of the problem. Here the steady flow of a jet falling from a vertical pipe, hitting a horizontal plate and flowing sideways is considered. Depending on the elevation H of the pipe relative to the horizontal plate and the Froude number F, the flow can either leave the pipe tangentially or detach from the edge of the pipe. When the flow leaves tangentially, it can either be diverted immediately by the plat

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Méndez-López, Huberth Agustín, Oscar Eliezer Quiroz-González, Kiesler Josué Orozco-López, and Cliffor Jerry Herrera-Castrillo. "Prototipo experimental en la demostración de la Ecuación de Bernoulli con integrales y vectores." Revista Metropolitana de Ciencias Aplicadas 8, S1 (2025): 115–23. https://doi.org/10.62452/knj9q923.

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This work consists of the construction of a prototype of experimental work, for the demonstration of Bernoulli's equation, applying integrals and vectors. The research begins by analyzing the physical, algebraic and integral concepts, in order to strengthen this physical postulate; subsequently, a Venturi meter was built, with the purpose of observing the magnitudes involved in the phenomenon from the experimental point of view by means of a practical laboratory guide, then, the mathematical demonstration of the principle was prepared using the knowledge obtained, allowing to determine a preci

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Hindaresmi, Hindaresmi, and Moh Toifur. "OPTIMASI NILAI h1/d PADA KEBERLAKUAN PERSAMAAN BERNOULLI." Jurnal Kumparan Fisika 5, no. 1 (2022): 63–68. http://dx.doi.org/10.33369/jkf.5.1.63-68.

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ABSTRAK Telah dilakukan eksperimen hukum Bernoulli pada fenomena bejana berlubang dengan bantuan aplikasi tracker. Penelitian ini bertujuan untuk menentukan pengaruh diameter lubang kebocoran terhadap laju penurunan air (v1) dan menentukan pengaruh kecepatan penurunan cairan di permukaan bejana (v1) terhadap kecepatan cairan yang mengalir dari lubang kebocoran bejana (v2), menggunakan bantuan aplikasi tracker, ditinjau dari segi eksperimen. Penelitian ini dilakukan sebanyak lima kali pada diameter lubang kebocoran yang berbeda-beda yaitu 0,5 cm, 1,0 cm, 1,5 cm, 2,0 cm, dan 2,5 cm, dengan diame

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Li, J., X. H. Guo, J. Luo, H. Y. Li, and Y. Q. Wang. "Analytical Study on Inherent Properties of a Unidirectional Vibrating Steel Strip Partially Immersed in Fluid." Shock and Vibration 20, no. 4 (2013): 793–807. http://dx.doi.org/10.1155/2013/827596.

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The theory of singuarity functions is introduced to present an analytical approach for the natural properties of a unidirectional vibrating steel strip with two opposite edges simply supported and other two free, partially submerged in fluid and under tension. The velocity potential and Bernoulli's equation are used to describe the fluid pressure acting on the steel strip. The effect of fluid on vibrations of the strip may be equivalent to added mass of the strip. The math formula of added mass can be obtained from kinematic boundary conditions of the strip-fluid interfaces. Singularity functi

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Renn, J.-C., and D.-Y. Jan. "Designing an energy-saving pneumatic vacuum pad using computational fluid dynamics for automated manufacturing system." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 221, no. 12 (2007): 1679–85. http://dx.doi.org/10.1243/09544062jmes613.

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The current paper is concerned with the development of a new energy-saving vacuum pad using computational fluid dynamics (CFD)-technique. CFD which is a powerful tool to provide an effective insight into the flow field numerically. Nowadays, application of pneumatic vacuum pads may be found in many different real industries, especially in the field of automated manufacturing system, like the automatic conveyer system, automatic assembly line, semiconductor industry as well as wafer factory, etc. Traditional vacuum pads generally utilize nozzles to create the effect of vacuum. In the current pa

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Alauddin, Muhamad Adib, Ishkrizat Taib, Muhammad ‘Afif Jamaludin, and Muhammad Afif Lutfi. "Analysis of Velocity for Different Density Using Different Height." Journal of Advances in Fluid, Heat, and Materials Engineering 4, no. 1 (2025): 10–17. https://doi.org/10.37934/afhme.4.1.1017a.

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This study investigates the relationship between velocity, density, and height in various fluid systems, providing a comprehensive analysis of how these factors interact under different conditions. The experiment involved measuring the velocity of fluids with varying densities as they flowed through channels of differing heights. Key principles such as fluid mechanics, Bernoulli's equation, and the continuity equation were applied to water bottles with three different height holes and interpreted the results. It was observed that greater water heights resulted in higher velocities due to incre

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Zhao, Chengbi, and Ming Ma. "A Hybrid 2.5-Dimensional High-Speed Strip Theory Method and Its Application to Apply Pressure Loads to 3-Dimensional Full Ship Finite Element Models." Journal of Ship Production and Design 32, no. 04 (2016): 216–25. http://dx.doi.org/10.5957/jspd.2016.32.4.216.

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As the three-dimensional (3D) finite element model (FEM) has become the de facto standard for ship structural design, interest in accurately transferring seakeeping loads to panel-based structural models has increased dramatically in recent years. In today's design practices, panel-based hydrodynamic analyses are often used for mapping seakeeping loads to 3D FEM structural models. However, 3D panel-based hydrodynamic analyses are computationally expensive. For monohull ships, methods based on strip theories have been successfully used in the industry for many years. They are computationally ef

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Arakeri, Jaywant H. "Bernoulli’s equation." Resonance 5, no. 8 (2000): 54–71. http://dx.doi.org/10.1007/bf02837937.

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Besarab, A., S. Frinak, R. A. Sherman, et al. "Simplified measurement of intra-access pressure." Journal of the American Society of Nephrology 9, no. 2 (1998): 284–89. http://dx.doi.org/10.1681/asn.v92284.

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The measurement of intra-access pressure (P[IA]) normalized by mean arterial BP (MAP) helps detect venous outlet stenosis and correlates with access blood flow. However, general use of P(IA)/MAP is limited by time and special equipment costs. Bernoulli's equation relates differences between P(IA) (recorded by an external transducer as PT) and the venous drip chamber pressure, PDC; at zero flow, the difference in height (deltaH) between the measuring sites and fluid density determines the pressure deltaPH = P(IA) - P(DC) Therefore, P(DC) and PT measurements were correlated at six different dial

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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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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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