Academic literature on the topic 'Conditions au bord de type Navier'

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Journal articles on the topic "Conditions au bord de type Navier"

1

Siddique, MH, Abdus Samad, and Afzal Husain. "Combined effects of viscosity and surface roughness on electric submersible pump performance." Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 231, no. 4 (2017): 303–16. http://dx.doi.org/10.1177/0957650917702262.

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An electric submersible pump that lifts crude oil from well bore is a type of multi-stage centrifugal pump. The unexpected wellbore conditions like change in pumping fluid viscosity and sand production severely affect pump performance and eventually lead to breakdown. The present study proposes a numerical approach to understand the effects of fluid viscosity and surface roughness of the flow passages in an electric submersible pump at design and off-design conditions. A three-dimensional numerical analysis was carried out by solving Reynolds-averaged Navier–Stokes equations with shear stress transport turbulence model to characterize performance of the pump. The pumping fluids, i.e., water and crude oils of different viscosities were analyzed for different surface roughness ( Ks) values. The model predictions were compared with a theoretical one-dimensional model for the effect of viscosity and surface roughness. It was found that the disc-friction and the skin-friction losses are sensitive hydraulic losses of which the disc-friction loss increases with increase in viscosity, whereas skin-friction loss decreases with increase in surface roughness at high viscosity. The combined effect of viscosity and roughness showed a complicated behavior and eventually an improvement in pump performance at a higher surface roughness compared to a smoother and lowers surface roughness.
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2

Huijnen, V., L. M. T. Somers, R. S. G. Baert, et al. "Study of Turbulent Flow Structures of a Practical Steady Engine Head Flow Using Large-Eddy Simulations." Journal of Fluids Engineering 128, no. 6 (2006): 1181–91. http://dx.doi.org/10.1115/1.2353259.

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The prediction performance of two computational fluid dynamics codes is compared to each other and to experimental data of a complex swirling and tumbling flow in a practical complex configuration. This configuration consists of a flow in a production-type heavy-duty diesel engine head with 130-mm cylinder bore. One unsteady Reynolds-averaged Navier-Stokes (URANS)-based simulation and two large-eddy simulations (LES) with different inflow conditions have been performed with the KIVA-3V code. Two LES with different resolutions have been performed with the FASTEST-3D code. The parallelization of the this code allows for a more resolved mesh compared to the KIVA-3V code. This kind of simulations gives a complete image of the phenomena that occur in such configurations, and therefore represents a valuable contribution to experimental data. The complex flow structures gives rise to an inhomogeneous turbulence distribution. Such inhomogeneous behavior of the turbulence is well captured by the LES, but naturally damped by the URANS simulation. In the LES, it is confirmed that the inflow conditions play a decisive role for all main flow features. When no particular treatment of the flow through the runners can be made, the best results are achieved by computing a large part of the upstream region, once performed with the FASTEST-3D code. If the inflow conditions are tuned, all main complex flow structures are also recovered by KIVA-3V. The application of upwinding schemes in both codes is in this respect not crucial.
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3

Amrouche, Cherif, and Nour El Houda Seloula. "On the Stokes equations with the Navier-type boundary conditions." Differential Equations & Applications, no. 4 (2011): 581–607. http://dx.doi.org/10.7153/dea-03-36.

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4

Hu, Weiwei, Yanzhen Wang, Jiahong Wu, Bei Xiao, and Jia Yuan. "Partially dissipative 2D Boussinesq equations with Navier type boundary conditions." Physica D: Nonlinear Phenomena 376-377 (August 2018): 39–48. http://dx.doi.org/10.1016/j.physd.2017.07.003.

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5

Ma, Lina, Rui Chen, Xiaofeng Yang, and Hui Zhang. "Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines." Communications in Computational Physics 21, no. 3 (2017): 867–89. http://dx.doi.org/10.4208/cicp.oa-2016-0008.

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AbstractIn this paper, we present some efficient numerical schemes to solve a two-phase hydrodynamics coupled phase field model with moving contact line boundary conditions. The model is a nonlinear coupling system, which consists the Navier-Stokes equations with the general Navier Boundary conditions or degenerated Navier Boundary conditions, and the Allen-Cahn type phase field equations with dynamical contact line boundary condition or static contact line boundary condition. The proposed schemes are linear and unconditionally energy stable, where the energy stabilities are proved rigorously. Various numerical tests are performed to show the accuracy and efficiency thereafter.
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6

Liu, An, Yuan Li, and Rong An. "Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions." Advances in Applied Mathematics and Mechanics 8, no. 6 (2016): 932–52. http://dx.doi.org/10.4208/aamm.2014.m595.

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AbstractIn this paper, we present two-level defect-correction finite element method for steady Navier-Stokes equations at high Reynolds number with the friction boundary conditions, which results in a variational inequality problem of the second kind. Based on Taylor-Hood element, we solve a variational inequality problem of Navier-Stokes type on the coarse mesh and solve a variational inequality problem of Navier-Stokes type corresponding to Newton linearization on the fine mesh. The error estimates for the velocity in the H1 norm and the pressure in the L2 norm are derived. Finally, the numerical results are provided to confirm our theoretical analysis.
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7

Li, Yuan, and Rong An. "Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions." Abstract and Applied Analysis 2013 (2013): 1–17. http://dx.doi.org/10.1155/2013/125139.

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This paper presents two-level iteration penalty finite element methods to approximate the solution of the Navier-Stokes equations with friction boundary conditions. The basic idea is to solve the Navier-Stokes type variational inequality problem on a coarse mesh with mesh sizeHin combining with solving a Stokes, Oseen, or linearized Navier-Stokes type variational inequality problem for Stokes, Oseen, or Newton iteration on a fine mesh with mesh sizeh. The error estimate obtained in this paper shows that ifH,h, andεcan be chosen appropriately, then these two-level iteration penalty methods are of the same convergence orders as the usual one-level iteration penalty method.
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8

Kučera, Petr, and Jiří Neustupa. "OnL3-stability of strong solutions of the Navier–Stokes equations with the Navier-type boundary conditions." Journal of Mathematical Analysis and Applications 405, no. 2 (2013): 731–37. http://dx.doi.org/10.1016/j.jmaa.2013.04.037.

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9

Pineau, Benjamin, and Xinwei Yu. "On Prodi–Serrin type conditions for the 3D Navier–Stokes equations." Nonlinear Analysis 190 (January 2020): 111612. http://dx.doi.org/10.1016/j.na.2019.111612.

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10

Guo, Zhengguang, Petr Kučera, and Zdenek Skalak. "Navier–Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines—the case of a bounded domain." Nonlinearity 35, no. 11 (2022): 5880–902. http://dx.doi.org/10.1088/1361-6544/ac8e4c.

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Abstract In this paper we deal with the conditional regularity of the weak solutions of the Navier–Stokes equations on a bounded domain endowed with Navier boundary conditions, Navier-type boundary conditions or Dirichlet boundary conditions. We prove the regularity criteria which are based on the directional derivatives of several fundamental quantities along the streamlines, namely the velocity magnitude, the kinetic energy, the pressure, the velocity field and the Bernoulli pressure. In striking contrast to the known criteria in which the mentioned quantities were differentiated along a fixed vector, our criteria are mostly optimal for the whole range of parameters and have a clear physical meaning.
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