Results 271 to 280 of about 90,108 (307)
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A Low Mach Number Limit of a Dispersive Navier–Stokes System
SIAM Journal on Mathematical Analysis, 2012We establish a low Mach number limit for classical solutions over the whole space of a compressible fluid dynamic system that includes dispersive corrections to the Navier–Stokes equations. The limiting system is similar to a ghost effect system [Y. Sone, Kinetic Theory and Fluid Dynamics, Model. Simul. Sci. Eng.
C. David Levermore +2 more
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Adjoint algorithms for the Navier–Stokes equations in the low Mach number limit
Journal of Computational Physics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gary J. Chandler +3 more
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Error correction method for Navier–Stokes equations at high Reynolds numbers
Journal of Computational Physics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kun Wang, Yau Shu Wong
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Stokes Flows at Infinite Rayleigh Number
2003A novel approach is presented for studying viscous Stokes flows at infinite Rayleigh numbers Ra. The flow is driven by a density variations acted upon by gravity, and infinite Ra corresponds to zero density diffusion, i.e. its material conservation. On the other hand, the fluid Reynolds number Re is negligible, allowing one to drop the acceleration in ...
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The Low Mach Number Limit for the Full Navier–Stokes–Fourier System
Archive for Rational Mechanics and Analysis, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feireisl, E. (Eduard), Novotný, A.
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Effects of Pipe Diameter and Stokes Number on Erosion in Elbows
Volume 2: Fluid Mechanics; Multiphase Flows, 2020Abstract Large diameter pipes and elbows are vastly used in industry especially in mining and oil and gas production. Solid particle erosion is a common issue in these pipelines, and it is important to predict it to avoid failures. Currently, laboratory experiments reported in the literature are limited to diameters less than 4 inches ...
Soroor Karimi +3 more
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Global instability of Stokes layer for whole wave numbers
Applied Mathematics and Mechanics, 2016The study on the global instability of a Stokes layer, which is a typical unsteady flow, is usually a paradigm for understanding the instability and transition of unsteady flows. Previous studies suggest that the neutral curve of the global instability obtained by the Floquet theory is only mapped out in a limited range of wave numbers (0.2 ≤ α ≤ 0.5).
Wei Kong, Jisheng Luo
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Characterizations of the critical Stokes number for potential and viscous flows
Mathematika, 1994Summary: The impaction on symmetrical obstacles placed in uniform streams of aerosols is investigated. The governing equations of motion are nonlinear differential equations involving a parameter called the Stokes number. The study differentiates between the critical value of the Stokes number on the centre-line, \(k_{\text{cr}}\), below which no ...
Lesnic, D., Elliott, L., Ingham, D. B.
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2015
The use of simplified models of turbulent flows provides an appealing possibility to study the collision rate of turbulent suspensions, especially in conditions relevant to astrophysics, which require large timescale separations. To check the validity of such approaches, we used a direct numerical simulation (DNS) velocity field, which satisfies the ...
Vosskuhle, M. +2 more
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The use of simplified models of turbulent flows provides an appealing possibility to study the collision rate of turbulent suspensions, especially in conditions relevant to astrophysics, which require large timescale separations. To check the validity of such approaches, we used a direct numerical simulation (DNS) velocity field, which satisfies the ...
Vosskuhle, M. +2 more
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On the applicability of Stokes’ hypothesis to low-Mach-number flows
Continuum Mechanics and Thermodynamics, 2019Stokes’ hypothesis states that the bulk viscosity of a Newtonian fluid can be set to zero. Although not valid for many fluids, it is common practice to invoke this hypothesis in the study of low-Mach-number, variable-density flows. Based on scaling arguments, we provide a necessary condition for neglecting the bulk viscous pressure from the governing ...
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