Zaloguj się

Gotowe bibliografie tematyczne / Navier-Stokes equation / Artykuły w czasopismach

Artykuły w czasopismach na temat „Navier-Stokes equation”

Kliknij ten link, aby zobaczyć inne rodzaje publikacji na ten temat: Navier-Stokes equation.

Autor: Grafiati

Data publikacji: 4 czerwca 2021

Data aktualizacji: 1 sierpnia 2024

Utwórz poprawne odniesienie w stylach APA, MLA, Chicago, Harvard i wielu innych

Wybierz rodzaj źródła:

Sprawdź 50 najlepszych artykułów w czasopismach naukowych na temat „Navier-Stokes equation”.

Przycisk „Dodaj do bibliografii” jest dostępny obok każdej pracy w bibliografii. Użyj go – a my automatycznie utworzymy odniesienie bibliograficzne do wybranej pracy w stylu cytowania, którego potrzebujesz: APA, MLA, Harvard, Chicago, Vancouver itp.

Możesz również pobrać pełny tekst publikacji naukowej w formacie „.pdf” i przeczytać adnotację do pracy online, jeśli odpowiednie parametry są dostępne w metadanych.

Przeglądaj artykuły w czasopismach z różnych dziedzin i twórz odpowiednie bibliografie.

1

Ihsan, Hisyam, Syafruddin Side i Muhammad Iqbal. "Solusi Persamaan Burgers Inviscid dengan Metode Pemisahan Variabel". Journal of Mathematics Computations and Statistics 4, nr 2 (28.10.2021): 88. http://dx.doi.org/10.35580/jmathcos.v4i2.24442.

Pełny tekst źródła

Streszczenie:

Penelitian ini mengkaji tentang solusi persamaan Burgers Inviscid dengan metode pemisahan variabel. Tujuan dari penelitian ini adalah untuk mengetahui penyederhanaan sistem persamaan Navier-Stokes menjadi persamaan Burgers Inviscid, menemukan solusi persamaan Burgers Inviscid dengan metode pemisahan variabel, dan melakukan simulasi solusi persamaan dengan menggunakan software Maple18. Persamaan Burgers muncul sebagai penyederhanaan model yang rumit dari sistem persamaan Navier-Stokes. Persamaan Burgers adalah persamaan diferensial parsial hukum konservasi dan merupakan masalah hiperbolik, yaitu representasi nonlinier paling sederhana dari persamaan Navier-Stokes. Metode pemisahan variabel merupakan salah satu metode klasik yang efektif digunakan dalam menyelesaikan persamaan diferensial parsial dengan mengasumsikan untuk mendapatkan komponen x dan t. Kemudian akan dilakukan subtitusi pada persamaan diferensial, sehingga dengan cara ini akan didapatkan solusi persamaan diferensial parsial.Kata Kunci: Persamaan Burgers Inviscid, metode pemisahan variabel, persamaan Navier-StokesThis study examines the solution of Burgers Inviscid equation with variable separation method. The purpose of this study was to find out the simplification of the Navier-Stokes equation system into the Burgers Inviscid equation, find a solution to the Burgers Inviscid equation with the variable separation method, and simulate equation solutions using Maple18 software. The Burgers equation emerged as a complicated simplification of the Navier-Stokes equation system. The Burgers equation is a partial differential equation of conservation law and is a hyperbolic problem, i.e. the simplest nonlinear representation of the Navier-Stokes equation. The variable separation method is one of the classic methods that is effectively used in solving partial differential equations assuming to obtain the x and t components. Then there will be substitutions to differential equations, so that in this way there will be a partial differential equation solution.Keywords: Burgers Inviscid Equation, variable separation method, Navier-Stokes equations.

Style APA, Harvard, Vancouver, ISO itp.

2

Cruzeiro, Ana Bela. "Stochastic Approaches to Deterministic Fluid Dynamics: A Selective Review". Water 12, nr 3 (19.03.2020): 864. http://dx.doi.org/10.3390/w12030864.

Pełny tekst źródła

Streszczenie:

We present a stochastic Lagrangian view of fluid dynamics. The velocity solving the deterministic Navier–Stokes equation is regarded as a mean time derivative taken over stochastic Lagrangian paths and the equations of motion are critical points of an associated stochastic action functional involving the kinetic energy computed over random paths. Thus the deterministic Navier–Stokes equation is obtained via a variational principle. The pressure can be regarded as a Lagrange multiplier. The approach is based on Itô’s stochastic calculus. Different related probabilistic methods to study the Navier–Stokes equation are discussed. We also consider Navier–Stokes equations perturbed by random terms, which we derive by means of a variational principle.

Style APA, Harvard, Vancouver, ISO itp.

3

Rozumniuk, V. I. "About general solutions of Euler’s and Navier-Stokes equations". Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, nr 1 (2019): 190–93. http://dx.doi.org/10.17721/1812-5409.2019/1.44.

Pełny tekst źródła

Streszczenie:

Constructing a general solution to the Navier-Stokes equation is a fundamental problem of current fluid mechanics and mathematics due to nonlinearity occurring when moving to Euler’s variables. A new transition procedure is proposed without appearing nonlinear terms in the equation, which makes it possible constructing a general solution to the Navier-Stokes equation as a combination of general solutions to Laplace’s and diffusion equations. Existence, uniqueness, and smoothness of the solutions to Euler's and Navier-Stokes equations are found out with investigating solutions to the Laplace and diffusion equations well-studied.

Style APA, Harvard, Vancouver, ISO itp.

4

Youssef, Hairch, Abderrahmane Elmelouky, Mohamed Louzazni, Fouad Belhora i Mohamed Monkade. "A numerical study of interface dynamics in fluid materials". Matériaux & Techniques 112, nr 4 (2024): 401. http://dx.doi.org/10.1051/mattech/2024018.

Pełny tekst źródła

Streszczenie:

This paper deals with the approximation of the dynamics of two fluids having non-matching densities and viscosities. The modeling involves the coupling of the Allen-Cahn equation with the time-dependent Navier-Stokes equations. The Allen-Cahn equation describes the evolution of a scalar order parameter that assumes two distinct values in different spatial regions. Conversely, the Navier-Stokes equations govern the movement of a fluid subjected to various forces like pressure, gravity, and viscosity. When the Allen-Cahn equation is coupled with the Navier-Stokes equations, it is typically done through a surface tension term. The surface tension term accounts for the energy required to create an interface between the two phases, and it is proportional to the curvature of the interface. The Navier-Stokes equations are modified to include this term, which leads to the formation of a dynamic interface between the two phases. The resulting system of equations is known as the two-phase Navier-Stokes/Allen-Cahn equations. In this paper, the authors propose a mathematical model that combines the Allen-Cahn model and the Navier-Stokes equations to simulate multiple fluid flows. The Allen-Cahn model is utilized to represent the diffuse interface between different fluids, while the Navier-Stokes equations are employed to describe the fluid dynamics. The Allen-Cahn-Navier-Stokes model has been employed to simulate the generation of bubbles in a liquid subjected to an acoustic field. The model successfully predicted the size of the bubbles and the frequency at which they formed. The numerical outcomes were validated against experimental data, and a favorable agreement was observed.

Style APA, Harvard, Vancouver, ISO itp.

5

Lee, Sunggeun, Shin-Kun Ryi i Hankwon Lim. "Solutions of Navier-Stokes Equation with Coriolis Force". Advances in Mathematical Physics 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/7042686.

Pełny tekst źródła

Streszczenie:

We investigate the Navier-Stokes equation in the presence of Coriolis force in this article. First, the vortex equation with the Coriolis effect is discussed. It turns out that the vorticity can be generated due to a rotation coming from the Coriolis effect, Ω. In both steady state and two-dimensional flow, the vorticity vector ω gets shifted by the amount of -2Ω. Second, we consider the specific expression of the velocity vector of the Navier-Stokes equation in two dimensions. For the two-dimensional potential flow v→=∇→ϕ, the equation satisfied by ϕ is independent of Ω. The remaining Navier-Stokes equation reduces to the nonlinear partial differential equations with respect to the velocity and the corresponding exact solution is obtained. Finally, the steady convective diffusion equation is considered for the concentration c and can be solved with the help of Navier-Stokes equation for two-dimensional potential flow. The convective diffusion equation can be solved in three dimensions with a simple choice of c.

Style APA, Harvard, Vancouver, ISO itp.

6

Dlotko, Tomasz. "Navier–Stokes–Cahn–Hilliard system of equations". Journal of Mathematical Physics 63, nr 11 (1.11.2022): 111511. http://dx.doi.org/10.1063/5.0097137.

Pełny tekst źródła

Streszczenie:

A growing interest in considering the “hybrid systems” of equations describing more complicated physical phenomena was observed throughout the last 10 years. We mean here, in particular, the so-called Navier–Stokes–Cahn–Hilliard equation, the Navier–Stokes–Poison equations, or the Cahn–Hilliard–Hele–Shaw equation. There are specific difficulties connected with considering such systems. Using the semigroup approach, we discuss here the existence-uniqueness of solutions to the Navier–Stokes–Cahn–Hilliard system, explaining, in particular, the limitation of maximal regularity of the local solutions imposed by the chosen boundary conditions.

Style APA, Harvard, Vancouver, ISO itp.

7

Ragusa, Maria Alessandra, i Veli B. Shakhmurov. "A Navier–Stokes-Type Problem with High-Order Elliptic Operator and Applications". Mathematics 8, nr 12 (21.12.2020): 2256. http://dx.doi.org/10.3390/math8122256.

Pełny tekst źródła

Streszczenie:

The existence, uniqueness and uniformly Lp estimates for solutions of a high-order abstract Navier–Stokes problem on half space are derived. The equation involves an abstract operator in a Banach space E and small parameters. Since the Banach space E is arbitrary and A is a possible linear operator, by choosing spaces E and operators A, the existence, uniqueness and Lp estimates of solutions for numerous classes of Navier–Stokes type problems are obtained. In application, the existence, uniqueness and uniformly Lp estimates for the solution of the Wentzell–Robin-type mixed problem for the Navier–Stokes equation and mixed problem for degenerate Navier–Stokes equations are established.

Style APA, Harvard, Vancouver, ISO itp.

8

XU, KUN, i ZHAOLI GUO. "GENERALIZED GAS DYNAMIC EQUATIONS WITH MULTIPLE TRANSLATIONAL TEMPERATURES". Modern Physics Letters B 23, nr 03 (30.01.2009): 237–40. http://dx.doi.org/10.1142/s0217984909018096.

Pełny tekst źródła

Streszczenie:

Based on a multiple stage BGK-type collision model and the Chapman–Enskog expansion, the corresponding macroscopic gas dynamics equations in three-dimensional space will be derived. The new gas dynamic equations have the same structure as the Navier–Stokes equations, but the stress strain relationship in the Navier–Stokes equations is replaced by an algebraic equation with temperature differences. In the continuum flow regime, the new gas dynamic equations automatically recover the standard Navier–Stokes equations. The current gas dynamic equations are natural extension of the Navier–Stokes equations to the near continuum flow regime and can be used for near continuum flow study.

Style APA, Harvard, Vancouver, ISO itp.

9

Dou, Changsheng, i Zishu Zhao. "Analytical Solution to 1D Compressible Navier-Stokes Equations". Journal of Function Spaces 2021 (27.05.2021): 1–6. http://dx.doi.org/10.1155/2021/6339203.

Pełny tekst źródła

Streszczenie:

There exist complex behavior of the solution to the 1D compressible Navier-Stokes equations in half space. We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x , t ∈ 0 , + ∞ × R + , that is, the solutions to the initial boundary value problem to 1D compressible Navier-Stokes equations in half space can be transformed to the solution to the Riccati differential equation under some suitable conditions.

Style APA, Harvard, Vancouver, ISO itp.

10

Wang, Wenjie, i Melkamu Teshome Ayana. "Simulation of J-Solution Solving Process of Navier–Stokes Equation". Mathematical Problems in Engineering 2021 (6.05.2021): 1–8. http://dx.doi.org/10.1155/2021/9924948.

Pełny tekst źródła

Streszczenie:

To avoid grid degradation, the numerical analysis of the j-solution of the Navier–Stokes equation has been studied. The Navier–Stokes equations describe the motion of viscous fluid substances. On the basis of the advantages and disadvantages of the Navier–Stokes equations, the incompressible terms and the nonlinear terms are separated, and the original boundary conditions satisfying the j-solution of the Navier–Stokes equation are analyzed. Secondly, the development of a computational grid has been introduced; the turbulence model has also been described. The fluid form and the initial value of the j-solution of the Navier–Stokes equation are combined. The original boundary conditions are solved by a computer, and the nonlinear turbulence equations are derived, which control the fluid flow. The simulation of the fine grid is comprehended to analyze the research outcome. Simulation analysis is carried out to generate multiblock-structured grids with high quality. The j-solution on the grid points is the j-solution that can be used with a fewer number of meshes under the same conditions. The proposed work is easy to implement, and it consumes lesser memory. The results obtained are able to avoid mesh degradation skillfully, and the generated mesh exhibits the characteristics of smoothness, orthogonality, and controllability, which eventually improves the calculation accuracy.

Style APA, Harvard, Vancouver, ISO itp.

11

Vyskrebtsov, V. G. "Integration of Navier-Stokes equations". Izvestiya MGTU MAMI 8, nr 2-4 (20.07.2014): 23–31. http://dx.doi.org/10.17816/2074-0530-67399.

Pełny tekst źródła

Streszczenie:

The author considers the integration of the motion equations of a Newtonian fluid (Navier-Stokes equations) in vector form, taking into consideration a separation of vector Navier-Stokes equation on the two equations containing separately linear and quadratic terms. On this basis, the paper demonstrates the possibility of integration of separated motion equations of an incompressible viscous fluid, which is determined in a greater extent by the characteristics of flow: boundary conditions, axisymmetric, nonaxisymmetric flow and others.

Style APA, Harvard, Vancouver, ISO itp.

12

Lu, Chang-Na, Sheng-Xiang Chang, Luo-Yan Xie i Zong-Guo Zhang. "Generation and solutions to the time-space fractional coupled Navier-Stokes equations". Thermal Science 24, nr 6 Part B (2020): 3899–905. http://dx.doi.org/10.2298/tsci2006899l.

Pełny tekst źródła

Streszczenie:

In this paper, a Lagrangian of the coupled Navier-Stokes equations is proposed based on the semi-inverse method. The fractional derivatives in the sense of Riemann-Liouville definition are used to replace the classical derivatives in the Lagrangian. Then the fractional Euler-Lagrange equation can be derived with the help of the fractional variational principles. The Agrawal?s method is devot?ed to lead to the time-space fractional coupled Navier-Stokes equations from the above Euler-Lagrange equation. The solution of the time-space fractional coupled Navier-Stokes equations is obtained by means of RPS algorithm. The numerical results are presented by using exact solutions.

Style APA, Harvard, Vancouver, ISO itp.

13

Chen, ZY, Yahui Meng, Ruei-Yuan Wang i Timothy Chen. "Systematic fuzzy Navier–Stokes equations for aerospace vehicles". Aircraft Engineering and Aerospace Technology 94, nr 3 (27.01.2022): 351–59. http://dx.doi.org/10.1108/aeat-06-2020-0109.

Pełny tekst źródła

Streszczenie:

Purpose To prove the effectiveness of the proposed design method, this study aims to propose the Fisher equation and temperature cooling fins that control high-speed aerospace vehicles. Design/methodology/approach A new approach whereby the control of aerospace vehicles can be achieved by fuzzy controller and appropriate Navier–Stokes equations in this article. The design of the controller based on models of Navier–Stokes equations simplified complex mathematical simulations and approximations. Findings If the fuzzy controller cannot stabilize the system, the Navier–Stokes fuzzy function is injected into the system as a controller tool, and the system is asymptotically stabilized by adjusting the fuzzy parameters. Originality/value The simulation results show that if the tuning frequency is high enough, the fuzzy controller and fuzzy observer can create chaotic movements by adjusting the dither amplitude appropriately. The demonstration of the Fisher equation and the temperature-cooled fin control problem for high-speed aerospace vehicles has displayed the benefits of combining fuzzy control with the Navier–Stokes equation.

Style APA, Harvard, Vancouver, ISO itp.

14

Liu, Zhengrong, i Hongjun Yu. "The diffusive limit of Boltzmann equation in torus". Nonlinearity 37, nr 7 (20.05.2024): 075003. http://dx.doi.org/10.1088/1361-6544/ad4502.

Pełny tekst źródła

Streszczenie:

Abstract The Boltzmann equation of kinetic theory gives a statistical description of a gas of interacting particles. It is well known that the Boltzmann equation is related to the Euler and Navier–Stokes equations in the field of gas dynamics. In this paper we are concerned with the incompressible Navier–Stokes–Fourier limit of the Boltzmann equation. We prove the incompressible Navier–Stokes–Fourier limit globally in time and the time decay rate of the solution to the rescaled Boltzmann equation in a torus. For ɛ small, by using the truncated expansion and L x , v 2 – L x , v ∞ method, we prove such a limit for the general potentials γ ∈ ( − 3 , 1 ] .

Style APA, Harvard, Vancouver, ISO itp.

15

Cusack, Paul T. E. "Navier-Stokes Equation: A Solution". International Journal of Cosmology, Astronomy and Astrophysics 1, nr 1 (7.01.2019): 7–8. http://dx.doi.org/10.18689/ijcaa-1000103.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

16

Obukhov, A. G., i N. V. Chunikhina. "EQUATION OF CONTINUITY IN THE CYLINDRICAL COORDINATES SYSTEM". Oil and Gas Studies, nr 3 (1.07.2016): 119–22. http://dx.doi.org/10.31660/0445-0108-2016-3-119-122.

Pełny tekst źródła

Streszczenie:

Sophisticated viscous compressible heat-conducting gases arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier - Stokes equations to describe such gas flows is advisable to use a cylindrical coordinate system. This paper describes the transformation of the first equation of the full Navier - Stokes equations. The result of the transformation is to write the continuity equation in the cylindrical coordinate system.

Style APA, Harvard, Vancouver, ISO itp.

17

Hamouda, Makram, i Roger Temam. "Boundary Layers for the Navier–Stokes Equations. The Case of a Characteristic Boundary". gmj 15, nr 3 (wrzesień 2008): 517–30. http://dx.doi.org/10.1515/gmj.2008.517.

Pełny tekst źródła

Streszczenie:

Abstract We prove the existence of a strong corrector for the linearized incompressible Navier–Stokes solution on a domain with characteristic boundary. This case is different from the noncharacteristic case considered in [Hamouda and Temam, Some singular perturbation problems related to the Navier–Stokes equations: Springer Verlag, 2006] and somehow physically more relevant. More precisely, we show that the linearized Navier–Stokes solutions behave like the Euler solutions except in a thin region, close to the boundary, where a certain heat equation solution is added (the corrector). Here, the Navier–Stokes equations are considered in an infinite channel of but our results still hold for more general bounded domains.

Style APA, Harvard, Vancouver, ISO itp.

18

Nawnit, Kumar. "Modified Boltzmann equation and extended Navier–Stokes equations". Physics of Fluids 32, nr 2 (1.02.2020): 022001. http://dx.doi.org/10.1063/1.5139501.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

19

RÖCKNER, MICHAEL, i XICHENG ZHANG. "TAMED 3D NAVIER–STOKES EQUATION: EXISTENCE, UNIQUENESS AND REGULARITY". Infinite Dimensional Analysis, Quantum Probability and Related Topics 12, nr 04 (grudzień 2009): 525–49. http://dx.doi.org/10.1142/s0219025709003859.

Pełny tekst źródła

Streszczenie:

In this paper, we prove the existence and uniqueness of a smooth solution to a tamed 3D Navier–Stokes equation in the whole space. In particular, if there exists a bounded smooth solution to the classical 3D Navier–Stokes equation, then this solution satisfies our tamed equation. Moreover, using this tamed equation we can give a new construction for a suitable weak solution of the classical 3D Navier–Stokes equation introduced in Refs. 16 and 2.

Style APA, Harvard, Vancouver, ISO itp.

20

Nasu, Shoichi, i Mutsuto Kawahara. "An Analysis of Compressible Viscous Flows Around a Body Using Finite Element Method". Advanced Materials Research 403-408 (listopad 2011): 461–65. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.461.

Pełny tekst źródła

Streszczenie:

The objective of this paper is an analysis of a body in a compressible viscous flow using the finite element method. Generally, when the fluid flow is analyzed, an incompressible viscous flow is often applied. However fluids have compressibility in actual phenomena. Therefore, the compressibility should be concerned in Computational Fluid Dynamics [CFD]. In this study, two kind of equation is applied to basic equations. One is compressible Navier-stokes equation, the other is incompressible Navier-stokes equation considering density variation. These analysis results of both equations are compared.

Style APA, Harvard, Vancouver, ISO itp.

21

Seok, Woochan, Sang Bong Lee i Shin Hyung Rhee. "Computational simulation of turbulent flows around a marine propeller by solving the partially averaged Navier–Stokes equation". Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, nr 18 (9.05.2019): 6357–66. http://dx.doi.org/10.1177/0954406219848021.

Pełny tekst źródła

Streszczenie:

This study concerns the characteristics of the partially averaged Navier–Stokes method for local flow analysis around a rotating propeller. Partially averaged Navier–Stokes, resolving crucial large-scale structures of turbulent flow at a given computational grid resolution, is a bridging turbulence closure model between the Reynolds-averaged Navier–Stokes equation and the direct numerical simulation. A detailed comparison between partially averaged Navier–Stokes and Reynolds-averaged Navier–Stokes models is made to achieve a better understanding of partially averaged Navier–Stokes characteristics for predicting the coherent structures in turbulent flow. The two-equation k-ω shear stress transport model and the seven-equation Reynolds stress model are selected for Reynolds-averaged Navier–Stokes computations. The problem of interest is the flow around a rotating KP505 propeller in open water conditions at an advance ratio of 0.7. Near the leading edge, the partially averaged Navier–Stokes results are similar to those of Reynolds stress model in terms of the vortical structures. Vorticity predicted by different turbulence models, however, shows significant differences. For a more detailed analysis, the velocity gradient constituting the vorticity is identified at the leading edge. It is proven that partially averaged Navier–Stokes is able to capture the anisotropic characteristics of the flow at the leading edge, where both the geometric and flow characteristics change abruptly.

Style APA, Harvard, Vancouver, ISO itp.

22

Bobylev, A. V. "Boltzmann equation and hydrodynamics beyond Navier–Stokes". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, nr 2118 (19.03.2018): 20170227. http://dx.doi.org/10.1098/rsta.2017.0227.

Pełny tekst źródła

Streszczenie:

We consider in this paper the problem of derivation and regularization of higher (in Knudsen number) equations of hydrodynamics. The author’s approach based on successive changes of hydrodynamic variables is presented in more detail for the Burnett level. The complete theory is briefly discussed for the linearized Boltzmann equation. It is shown that the best results in this case can be obtained by using the ‘diagonal’ equations of hydrodynamics. Rigorous estimates of accuracy of the Navier–Stokes and Burnett approximations are also presented. This article is part of the theme issue ‘Hilbert’s sixth problem’.

Style APA, Harvard, Vancouver, ISO itp.

23

Abuasbeh, Kinda, Ramsha Shafqat, Azmat Ullah Khan Niazi i Muath Awadalla. "Local and Global Existence and Uniqueness of Solution for Time-Fractional Fuzzy Navier–Stokes Equations". Fractal and Fractional 6, nr 6 (14.06.2022): 330. http://dx.doi.org/10.3390/fractalfract6060330.

Pełny tekst źródła

Streszczenie:

Navier–Stokes (NS) equation, in fluid mechanics, is a partial differential equation that describes the flow of incompressible fluids. We study the fractional derivative by using fractional differential equation by using a mild solution. In this work, anomaly diffusion in fractal media is simulated using the Navier–Stokes equations (NSEs) with time-fractional derivatives of order β∈(0,1). In Hγ,℘, we prove the existence and uniqueness of local and global mild solutions by using fuzzy techniques. Meanwhile, we provide a local moderate solution in Banach space. We further show that classical solutions to such equations exist and are regular in Banach space.

Style APA, Harvard, Vancouver, ISO itp.

24

Barannikova, D. D., i A. G. Obukhov. "THE THIRD PROJECTION OF THE MOTION EQUATION IN THE CYLINDRICAL COORDINATE SYSTEM". Oil and Gas Studies, nr 1 (1.03.2017): 109–12. http://dx.doi.org/10.31660/0445-0108-2017-1-109-112.

Pełny tekst źródła

Streszczenie:

Sophisticated viscous compressible heat-conducting gases arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier-Stokes equations to describe such gas flows is advisable to use a cylindrical coordinate system. This paper describes the transformation of the third projection of the equation of motion of the full Navier-Stokes equations. The result of the transformation is to record the third projection of the equation of motion of a continuous medium in a cylindrical coordinate system.

Style APA, Harvard, Vancouver, ISO itp.

25

Prayugo, Jihandika, Suma Inna, Mahmudi Mahmudi i Nia Damiati. "SOLUSI MODEL LINEAR NAVIER-STOKES-KORTEWEG DI R_+^3 DENGAN SYARAT BATAS SLIP". Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika 5, nr 1 (30.04.2024): 262–77. http://dx.doi.org/10.46306/lb.v5i1.554.

Pełny tekst źródła

Streszczenie:

This article discusses the solution of the linear Navier-Stokes-Korteweg model in considering slip boundary conditions. This model is often used to describe the two-phase flow of fluids, where there is a phase change at the interface known as the capillary effect. To overcome the impact of the capillary effect, Korteweg developed the Navier-Stokes model by incorporating the element of capillary into the Navier-Stokes equations. The results of this article show that the Korteweg-type Navier-Stokes model has a solution for the coefficient case with . The emergence of this coefficient case is related to the condition of the roots of the characteristic equation of the model described in this article.

Style APA, Harvard, Vancouver, ISO itp.

26

Balajewicz, Maciej J., Earl H. Dowell i Bernd R. Noack. "Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation". Journal of Fluid Mechanics 729 (18.07.2013): 285–308. http://dx.doi.org/10.1017/jfm.2013.278.

Pełny tekst źródła

Streszczenie:

AbstractWe generalize the POD-based Galerkin method for post-transient flow data by incorporating Navier–Stokes equation constraints. In this method, the derived Galerkin expansion minimizes the residual like POD, but with the power balance equation for the resolved turbulent kinetic energy as an additional optimization constraint. Thus, the projection of the Navier–Stokes equation on to the expansion modes yields a Galerkin system that respects the power balance on the attractor. The resulting dynamical system requires no stabilizing eddy-viscosity term – contrary to other POD models of high-Reynolds-number flows. The proposed Galerkin method is illustrated with two test cases: two-dimensional flow inside a square lid-driven cavity and a two-dimensional mixing layer. Generalizations for more Navier–Stokes constraints, e.g. Reynolds equations, can be achieved in straightforward variation of the presented results.

Style APA, Harvard, Vancouver, ISO itp.

27

Barannikova, D. D., i A. G. Obukhov. "THE SECOND PROJECTION OF THE MOTION EQUATION IN THE CYLINDRICAL COORDINATE SYSTEM". Oil and Gas Studies, nr 5 (1.11.2016): 83–85. http://dx.doi.org/10.31660/0445-0108-2016-5-83-85.

Pełny tekst źródła

Streszczenie:

The complex flows of viscous compressible heat-conducting gas arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the complete Navier-Stokes equations system to describe such gas flows it is advisable to use a cylindrical coordinate system. This paper describes a transformation of the second projection of the motion equation of the complete Navier-Stokes equations system. The result of this transformation is writing of the second projection of the equation of a continuous medium motion in the cylindrical coordinate system.

Style APA, Harvard, Vancouver, ISO itp.

28

Nesterovich, N. V., i A. G. Obukhov. "EQUIATION OF ENERGY WITH ALLOWANCE OF EFFECTS OF DISSIPATION IN CYLINDRYCAL COORDINATE SYSTEM". Oil and Gas Studies, nr 5 (1.11.2017): 109–13. http://dx.doi.org/10.31660/0445-0108-2017-5-109-113.

Pełny tekst źródła

Streszczenie:

Complex flows of a viscous compressible heat-conducting gas in ascending swirling flows have a pro-nounced axial symmetry. Therefore, for the numerical solution of the complete system of Navier - Stokes equations to describe such gas flows, it is desirable to use a cylindrical coordinate system. The paper describes the transformation of the energy equation for a complete system of Navier - Stokes equations with allowance for the dissipative properties of a moving continuous medium. The result of the transformation is the formulation of the energy equation in a cylindrical coordinate system.

Style APA, Harvard, Vancouver, ISO itp.

29

Meng, Zhi-Jun, Yao-Ming Zhou i Dong-Mu Mei. "On three-dimensional incompressible Navier-Stokes fluid on cantor sets in spherical Cantor type co-ordinate system". Thermal Science 20, suppl. 3 (2016): 853–58. http://dx.doi.org/10.2298/tsci16s3853m.

Pełny tekst źródła

Streszczenie:

This paper addresses the systems of the incompressible Navier-Stokes equations on Cantor sets without the external force involving the fractal heat-conduction problem vial local fractional derivative. The spherical Cantor type co-ordinate method is used to transfer the incompressible Navier-Stokes equation from the Cantorian co-ordinate system into the spherical Cantor type co-ordinate system.

Style APA, Harvard, Vancouver, ISO itp.

30

Gangadas Goradia, Shantilal. "Quantum Effects Challenge Navier-Stokes Equation". Journal of Alzheimer’s & Neurodegenerative Diseases 7, nr 1 (30.10.2021): 1–4. http://dx.doi.org/10.24966/and-9608/100053.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

31

Apte, Amit, Didier Auroux i Mythily Ramaswamy. "Observers for Compressible Navier--Stokes Equation". SIAM Journal on Control and Optimization 56, nr 2 (styczeń 2018): 1081–104. http://dx.doi.org/10.1137/16m1060601.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

32

Pokutnyi, O. O. "Navier Stokes Equation and Homoclinic Chaos". Mathematical and computer modelling. Series: Physical and mathematical sciences, nr 19 (25.06.2019): 112–18. http://dx.doi.org/10.32626/2308-5878.2019-19.112-118.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

33

DE OLIVEIRA, P. M. C. "RELAXATION METHOD FOR NAVIER–STOKES EQUATION". International Journal of Modern Physics C 23, nr 04 (kwiecień 2012): 1250021. http://dx.doi.org/10.1142/s0129183112500210.

Pełny tekst źródła

Streszczenie:

The motivation for this work was a simple experiment [P. M. C. de Oliveira, S. Moss de Oliveira, F. A. Pereira and J. C. Sartorelli, preprint (2010), arXiv:1005.4086], where a little polystyrene ball is released falling in air. The interesting observation is a speed breaking. After an initial nearly linear time-dependence, the ball speed reaches a maximum value. After this, the speed finally decreases until its final, limit value. The provided explanation is related to the so-called von Kármán street of vortices successively formed behind the falling ball. After completely formed, the whole street extends for some hundred diameters. However, before a certain transient time needed to reach this steady-state, the street is shorter and the drag force is relatively reduced. Thus, at the beginning of the fall, a small and light ball may reach a speed superior to the sustainable steady-state value. Besides the real experiment, the numerical simulation of a related theoretical problem is also performed. A cylinder (instead of a 3D ball, thus reducing the effective dimension to 2) is positioned at rest inside a wind tunnel initially switched off. Suddenly, at t = 0 it is switched on with a constant and uniform wind velocity [Formula: see text] far from the cylinder and perpendicular to it. This is the first boundary condition. The second is the cylinder surface, where the wind velocity is null. In between these two boundaries, the velocity field is determined by solving the Navier–Stokes equation, as a function of time. For that, the initial condition is taken as the known Stokes laminar limit V → 0, since initially the tunnel is switched off. The numerical method adopted in this task is the object of the current text.

Style APA, Harvard, Vancouver, ISO itp.

34

Nakano, T. "Singularities in the Navier-Stokes Equation". Progress of Theoretical Physics 73, nr 3 (1.03.1985): 629–37. http://dx.doi.org/10.1143/ptp.73.629.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

35

Gărăjeu, Mihail, Henri Gouin i Giuseppe Saccomandi. "Scaling Navier-Stokes equation in nanotubes". Physics of Fluids 25, nr 8 (sierpień 2013): 082003. http://dx.doi.org/10.1063/1.4818159.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

36

Menaldi, Jose-Luis, i Sivaguru S. Sritharan. "Stochastic 2-D Navier--Stokes Equation". Applied Mathematics and Optimization 46, nr 1 (1.10.2002): 31–30. http://dx.doi.org/10.1007/s00245-002-0734-6.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

37

Barbu, V., i S. S. Sritharan. "Navier-Stokes equation with hereditary viscosity". Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP) 54, nr 3 (1.05.2003): 449–61. http://dx.doi.org/10.1007/s00033-003-1087-y.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

38

SHIMIZU, Akihiko. "Navier-Stokes' Equation and Energy Balance". Journal of the Society of Mechanical Engineers 114, nr 1109 (2011): 273–79. http://dx.doi.org/10.1299/jsmemag.114.1109_273.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

39

Sheng, Wanan. "A revisit of Navier–Stokes equation". European Journal of Mechanics - B/Fluids 80 (marzec 2020): 60–71. http://dx.doi.org/10.1016/j.euromechflu.2019.12.005.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

40

Wei-hui, Shi, i Fang Xiao-zuo. "Stability of navier-stokes equation(II)". Applied Mathematics and Mechanics 15, nr 10 (październik 1994): 929–33. http://dx.doi.org/10.1007/bf02451036.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

41

Wei-hui, Shi. "Stability of Navier-Stokes equation (I)". Applied Mathematics and Mechanics 15, nr 9 (wrzesień 1994): 865–66. http://dx.doi.org/10.1007/bf02451635.

Pełny tekst źródła

Style APA, Harvard, Vancouver, ISO itp.

42

Zhao, Di. "Quick finite volume solver for incompressible Navier-Stokes equation by parallel Gram-Schmidt process based GMRES and HSS". Engineering Computations 32, nr 5 (6.07.2015): 1460–76. http://dx.doi.org/10.1108/ec-02-2014-0032.

Pełny tekst źródła

Streszczenie:

Purpose – The purpose of this paper is to develop Triple Finite Volume Method (tFVM), the author discretizes incompressible Navier-Stokes equation by tFVM, which leads to a special linear system of saddle point problem, and most computational efforts for solving the linear system are invested on the linear solver GMRES. Design/methodology/approach – In this paper, by recently developed preconditioner Hermitian/Skew-Hermitian Separation (HSS) and the parallel implementation of GMRES, the author develops a quick solver, HSS-pGMRES-tFVM, for fast solving incompressible Navier-Stokes equation. Findings – Computational results show that, the quick solver HSS-pGMRES-tFVM significantly increases the solution speed for saddle point problem from incompressible Navier-Stokes equation than the conventional solvers. Originality/value – Altogether, the contribution of this paper is that the author developed the quick solver, HSS-pGMRES-tFVM, for fast solving incompressible Navier-Stokes equation.

Style APA, Harvard, Vancouver, ISO itp.

43

BERNARDI, CHRISTINE, TOMÁS CHACÓN REBOLLO, FRÉDÉRIC HECHT i ROGER LEWANDOWSKI. "AUTOMATIC INSERTION OF A TURBULENCE MODEL IN THE FINITE ELEMENT DISCRETIZATION OF THE NAVIER–STOKES EQUATIONS". Mathematical Models and Methods in Applied Sciences 19, nr 07 (lipiec 2009): 1139–83. http://dx.doi.org/10.1142/s0218202509003747.

Pełny tekst źródła

Streszczenie:

We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the turbulent kinetic energy through an eddy viscosity. We prove a posteriori error estimates which allow to automatically determine the zone where the turbulent kinetic energy must be inserted in the Navier–Stokes equations and also to perform mesh adaptivity in order to optimize the discretization of these equations. Numerical results confirm the interest of such an approach.

Style APA, Harvard, Vancouver, ISO itp.

44

Oduor, Michael, Paul Oleche i Hagai Amakobe James. "FINITE VOLUME METHODDISCRETIZATION OF MODIFIEDNAVIER-STOKES EQUATION". International Journal of Advanced Research 9, nr 5 (31.05.2021): 1127–31. http://dx.doi.org/10.21474/ijar01/12949.

Pełny tekst źródła

Streszczenie:

This study has come up with a numerical scheme that arises from finite volume discretizationof Modified Navier-Stokes Equation.Modified Navier-Stokes Equation in the x-z axis was coupled with continuity equation to obtain the Pressure Equation. Using the pressure equation, pressure field can bedetermined in each control volume on a staggered grid.

Style APA, Harvard, Vancouver, ISO itp.

45

Domaradzki, J. A., i S. Radhakrishnan. "Subgrid-Scale Modeling of Turbulent Convection Using Truncated Navier-Stokes Dynamics". Journal of Fluids Engineering 124, nr 4 (1.12.2002): 823–28. http://dx.doi.org/10.1115/1.1514206.

Pełny tekst źródła

Streszczenie:

Using concepts from the subgrid-scale estimation modeling we develop a procedure for large-eddy simulations which employs Navier-Stokes equations truncated to an available mesh resolution. Operationally the procedure consists of numerically solving the truncated Navier-Stokes equation and a periodic processing of the small scale component of its solution. The modeling procedure is applied to simulate turbulent Rayleigh-Be´nard convection.

Style APA, Harvard, Vancouver, ISO itp.

46

Fialová, Simona, František Pochylý i Dominik Šedivý. "A new form of equation for force determination based on Navier-Stokes equations". EPJ Web of Conferences 213 (2019): 02018. http://dx.doi.org/10.1051/epjconf/201921302018.

Pełny tekst źródła

Streszczenie:

This work is focused on calculating the force effects of an incompressible homogeneous liquid on a surface of a rigid or a flexible tube. An unsteady flow induced by differential pressure at the beginning and at the end of the tube is assumed. The pressure difference for the unsteady flow is determined experimentally. The mathematical model is based on modified Navier-Stokes equations. The unsteady term is modified in order to be able to use the Gauss-Ostrogradsky theorem to calculate the force. This method of solution will allow the calculation of the force by integration of the Navier-Stokes equations, which will help to refine and simplify the calculations. In the article, both methods of force calculation will be presented and compared both through the ANSYS FEA and CFD ANSYS Fluent solvers and by the integration of the Navier-Stokes equation. The calculation will not only respect the compliance of the tube but also its movement status.

Style APA, Harvard, Vancouver, ISO itp.

47

Maryani, Sri, Wardany Kusumasari i Nunung Nurhayati. "PENYELESAIAN SISTEM PERSAMAAN STOKES MENGGUNAKAN PARTIAL FOURIER TRANSFORM PADA FLUIDA TERMAMPATKAN YANG DISERTAI TEGANGAN PERMUKAAN". Jurnal Ilmiah Matematika dan Pendidikan Matematika 14, nr 2 (28.12.2022): 215. http://dx.doi.org/10.20884/1.jmp.2022.14.2.7462.

Pełny tekst źródła

Streszczenie:

Fluid is a substance that flows because of the pressure. Based on their ability to resisting pressure, compressible fluid is one of the fluid which volume can be compressed so they have a constant density. The basic equation of fluid is Navier Stokes equation system that have a non linear partial differential form. Nevertheless, to obtain the solution of non linear partial differential problem is not easy. Therefore, Navier Stokes equation system are linearized into Stokes equation system. In this research, we investigate the solution of the Stokes equation system by partial Fourier transform for compressible fluid with surface tension in half-space.

Style APA, Harvard, Vancouver, ISO itp.

48

Obukhov, A. G., i R. E. Volkov. "FIRST PROJECTION OF THE EQUATION OF MOTION IN THE CYLINDRICAL COORDINATE SYSTEM". Oil and Gas Studies, nr 4 (1.09.2016): 90–92. http://dx.doi.org/10.31660/0445-0108-2016-4-90-92.

Pełny tekst źródła

Streszczenie:

It is proved that complex flows of the viscous compressible heat-conducting gas, arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier-Stokes equations for description of such gas flows it are advisable to use a cylindrical coordinate system. This paper describes the transformation of the first projection of the equation of motion of the full Navier-Stokes equations system. The result of the transformation is a record of the first projection of the equation of a continuous medium motion in the cylindrical coordinate system.

Style APA, Harvard, Vancouver, ISO itp.

49

Kumar, Nand Kishor. "A Review on Burgers' Equations and It's Applications". Journal of Institute of Science and Technology 28, nr 2 (14.12.2023): 49–52. http://dx.doi.org/10.3126/jist.v28i2.61073.

Pełny tekst źródła

Streszczenie:

This article presents a brief study on the review of the Burgers' equation. It also gives some concepts/ideas and techniques to solve Burgers' equation. Applying Burgers' equation to traffic flow requires concentrated effort for the solution. We develop our insights on how to obtain the Navier-Stokes equation through our inquiry into Burgers' equation. We also demonstrate how the Cole-Hopf transformation for the viscous Burgers' equation is derived. Finally, we use Burger's equation function as a model for the flow of traffic. Additionally, by employing the linear system method, we are able to obtain the answer to the one-way traffic flow problem. The Navier-Stokes equation has been derived to get in-viscid Burger's equation. The principle of Traffic flow and Navier-Stokes models have also been derived.

Style APA, Harvard, Vancouver, ISO itp.

50

He, Xinyu. "Existence of Leray's Self-Similar Solutions of the Navier-Stokes Equations In 𝒟 ⊂ ℝ3". Canadian Mathematical Bulletin 47, nr 1 (1.03.2004): 30–37. http://dx.doi.org/10.4153/cmb-2004-005-3.

Pełny tekst źródła

Streszczenie:

AbstractLeray's self-similar solution of the Navier-Stokes equations is defined bywhere . Consider the equation for U(y) in a smooth bounded domain D of with non-zero boundary condition:We prove an existence theorem for the Dirichlet problem in Sobolev space W1,2(D). This implies the local existence of a self-similar solution of the Navier-Stokes equations which blows up at t = t* with t* < +∞, provided the function is permissible.

Style APA, Harvard, Vancouver, ISO itp.

Oferujemy zniżki na wszystkie plany premium dla autorów, których prace zostały uwzględnione w tematycznych zestawieniach literatury. Skontaktuj się z nami, aby uzyskać unikalny kod promocyjny!