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UNSTEADY SEPARATION FOR HIGH REYNOLDS NUMBERS NAVIER-STOKES SOLUTIONS
Waves and Stability in Continuous Media, 2010In this paper we compute the numerical solutions of Navier-Stokes equations in the case of the two dimensional disk impulsively started in a uniform back- ground flow. We shall solve the Navier-Stokes equations (for different Reynolds numbers ranging from 1.5 · 10^3 up to 10^5 ) with a fully spectral numerical scheme.
GARGANO, Francesco +3 more
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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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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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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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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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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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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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Comparative definitions of the condition number in Stokes polarimetry
In polarimetry, the condition number defines the stability and noise sensitivity that apolarimeter can achieve, being a key factor to understand its performance. In this work,we numerically calculate the error obtained for Stokes polarimetry with different numberof measurements and optimization strategies.del Hoyo, Jesus +4 more
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Small Darcy number limit of the Navier–Stokes–Darcy system
NonlinearityAbstract We study the small Darcy number behavior of the Navier–Stokes–Darcy system with the conservation of mass, Beavers–Joseph–Saffman–Jones condition, and the Lions balance of the normal-force interface boundary conditions imposed on the interface separating the Navier–Stokes flow and Darcy flow.
Lyu, Wenqi, Wang, Xiaoming
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