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Stability of Couette flow and Dean flow in micropolar fluids
International Journal of Engineering Science, 1985In this article, we have investigated the onset of instability in the flow of the micropolar fluid between two rotating concentric cylinders and the flow in a curved channel, under small gap approximation. The solution of the eigenvalue problems, governing the onset of instability, are obtained by using the shooting method.
Sastry, V. U. K., Das, Tapasi
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The Dean Effect: An Aortic Arch Flow Artifact Mimicking Dissection
Radiology: Cardiothoracic Imaging, 2022The unique hemodynamics of the aortic arch create conditions for potential formation of a flow-related artifact that mimics disease on CT angiographic images. The hemodynamic basis for this artifact can be explained by fluid mechanics incorporating a mathematical principle known as the Dean number. Therefore, in this review, the artifact is referred to
Alan Ropp +3 more
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Three-dimensional instability of a two-layer Dean flow
Physics of Fluids, 2001Stability of a two-layer Dean flow in a cylindrical annulus with respect to three-dimensional perturbations is studied by a global Galerkin method. It is shown that for large inner radius of the annulus (i) the instability becomes three-dimensional if one of the fluid layers is thin, (ii) its onset is not affected by possible small deformations of the ...
Gelfgat, Alexander Yu. +2 more
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Downstream decay of fully developed Dean flow
Journal of Fluid Mechanics, 2015Direct numerical simulations were used to investigate the downstream decay of fully developed flow in a $180^{\circ }$ curved pipe that exits into a straight outlet. The flow is studied for a range of Reynolds numbers and pipe-to-curvature radius ratios.
Jesse T. Ault +2 more
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Dean vortices in turbulent flows: rocking or rolling?
Journal of Visualization, 2011Flows in pipe bends have been studied extensively over the last decades due to their occurrence both in the human respiratory and blood systems as well as in many technical applications.
Athanasia Kalpakli +2 more
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Simulating turbulent Dean flow in Cartesian coordinates
International Journal for Numerical Methods in Fluids, 2008AbstractA simplified approach to simulate turbulent flows in curved channels is proposed. A set of governing equations of motion in Cartesian coordinates is derived from the full Navier–Stokes equations in cylindrical coordinates. Terms to first order in the dimensionless curvature parameter are retained, whereas higher‐order terms are neglected.
El Khoury, George K. +2 more
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On the transition of transient growth mechanism in Taylor–Dean flow
Modern Physics Letters B, 2021We investigate optimal perturbation and its transient growth characteristics in Taylor–Dean flow theoretically. The parameter [Formula: see text], accounting for the ratio of average pumping velocity induced by azimuthal pressure gradient to rotating velocity by rotating cylinders, is varied from −5 to 5.
Cheng Chen, Liu Zhang, Wei Zhang
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Physics of Fluids A: Fluid Dynamics, 1992
The effects of inertia on the elastic instabilities in Dean and Taylor–Couette flows are investigated through a linear stability analysis. The critical conditions and the structure of the vortex flow at the onset of these instabilities are presented. The results reveal that the purely elastic Dean flow is destabilized by inertial effects.
Joo, Yong Lak, Shaqfeh, Eric S. G.
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The effects of inertia on the elastic instabilities in Dean and Taylor–Couette flows are investigated through a linear stability analysis. The critical conditions and the structure of the vortex flow at the onset of these instabilities are presented. The results reveal that the purely elastic Dean flow is destabilized by inertial effects.
Joo, Yong Lak, Shaqfeh, Eric S. G.
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The Dean equations extended to a helical pipe flow
Journal of Fluid Mechanics, 1989In this paper the Dean (1928) equations are extended to the case of a helical pipe flow, and it is shown that they depend not only on the Dean number K but also on a new parameter λ/[Rscr ] where λ is the ratio of the torsion τ to the curvature κ of the pipe axis and [Rscr ] the Reynolds number referred in the usual way to the pipe radius a and ...
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Dean flow of a Bingham fluid in a curved rectangular duct
Journal of Non-Newtonian Fluid Mechanics, 2020Abstract In this paper we study the flow of a Bingham fluid on a curved (rectangular) pipe. Flows in this kind of geometries present secondary flows due to presence of centripetal forces in the radial direction. This so called Dean Flow has been extensively studied for Newtonian fluids.
Miguel Moyers-Gonzalez, Ian A. Frigaard
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