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2019
The dynamics of the Newtonian fluids considered here are determined by the laws of classical mechanics, a selection of references for the derivation of the fundamental pdes from these laws are Lamb [1], Landau and Lifshitz [2], Serrin [3], Majda and Bertozzi [4], Wu et al. [5].
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The dynamics of the Newtonian fluids considered here are determined by the laws of classical mechanics, a selection of references for the derivation of the fundamental pdes from these laws are Lamb [1], Landau and Lifshitz [2], Serrin [3], Majda and Bertozzi [4], Wu et al. [5].
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Physica A: Statistical Mechanics and its Applications, 2005
Abstract A revision of Newton's law of viscosity appearing in the role of the deviatoric stress tensor in the Navier–Stokes equation is proposed for the case of compressible fluids, both gaseous and liquid. Explicitly, it is hypothesized that the velocity v appearing in the velocity gradient term ∇ v in Newton's rheological law be changed from
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Abstract A revision of Newton's law of viscosity appearing in the role of the deviatoric stress tensor in the Navier–Stokes equation is proposed for the case of compressible fluids, both gaseous and liquid. Explicitly, it is hypothesized that the velocity v appearing in the velocity gradient term ∇ v in Newton's rheological law be changed from
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NAVIER-STOKES-Bewegungsgleichung
2000Bild 6.1 zeigt eine feste Platte, uber der sich eine andere Platte mit der Geschwindigkeit v X.0 bewegt. Das Fluid zwischen beiden Platten befindet sich in einer Scherstromung. Unter Viskositat (Zahigkeit) soll die Eigenschaft eines Fluids verstanden werden, scherende Verformungskrafte aufzunehmen. Die Verformungskraft als das Produkt aus Schubspannung
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2016
This chapter starts with two general principles: the mass and momentum conservations, valid for any fluid, complex or not, which will be used all along this book.
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This chapter starts with two general principles: the mass and momentum conservations, valid for any fluid, complex or not, which will be used all along this book.
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2011
Mitte des 19. Jahrhunderts wurden von Navier und Stokes erstmals Stromungsvorgange in allgemeiner Darstellung, d.h. fur die dreidimensionale, instationare Bewegung reibungsbehafteter Fluide formuliert. Dieses Gleichungssystem in Verbindung mit der differentiellen Form der Kontinuitatsgleichung steht unter Verwendung der jeweiligen Randbedingungen zur ...
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Mitte des 19. Jahrhunderts wurden von Navier und Stokes erstmals Stromungsvorgange in allgemeiner Darstellung, d.h. fur die dreidimensionale, instationare Bewegung reibungsbehafteter Fluide formuliert. Dieses Gleichungssystem in Verbindung mit der differentiellen Form der Kontinuitatsgleichung steht unter Verwendung der jeweiligen Randbedingungen zur ...
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Topology optimization of unsteady incompressible Navier–Stokes flows
Journal of Computational Physics, 2011Yongbo Deng, Zhenyu Liu, Yihui Wu
exaly
On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations
Journal of Mathematical Fluid Mechanics, 2001Eduard Feireisl
exaly