Journal ArticleDOI
A general classification of three-dimensional flow fields
TLDR
In this paper, the geometry of solution trajectories for three first-order coupled linear differential equations can be related and classified using three matrix invariants for elementary three-dimensional flow patterns defined by instantaneous streamlines for flow at and away from no slip boundaries for both compressible and incompressible flow.Abstract:
The geometry of solution trajectories for three first‐order coupled linear differential equations can be related and classified using three matrix invariants. This provides a generalized approach to the classification of elementary three‐dimensional flow patterns defined by instantaneous streamlines for flow at and away from no‐slip boundaries for both compressible and incompressible flow. Although the attention of this paper is on the velocity field and its associated deformation tensor, the results are valid for any smooth three‐dimensional vector field. For example, there may be situations where it is appropriate to work in terms of the vorticity field or pressure gradient field. In any case, it is expected that the results presented here will be of use in the interpretation of complex flow field data.read more
Citations
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Journal ArticleDOI
An unstable superfluid stewartson layer in a differentially rotating neutron star
C. Peralta,Andrew Melatos +1 more
TL;DR: In this paper, the existence of a Stewartson layer in spherical Couette flow at small Ekman and Rossby numbers (E 10−3, Ro 10−2) was reviewed.
Journal ArticleDOI
Vortex formation mechanisms in the wake behind a sphere for 200 < Re < 380
V. A. Gushchin,R. V. Matyushin +1 more
TL;DR: In this paper, direct numerical simulation and visualization of three-dimensional separated flows of a homogeneous incompressible viscous fluid are used to comprehensively describe different vortex formation mechanisms behind a sphere at moderate Reynolds numbers (200 ≤ Re ≤ 380).
Journal ArticleDOI
Design of viscometers corresponding to a universal molecular simulation method
Kaushik Dayal,Richard D. James +1 more
TL;DR: Dayal et al. as discussed by the authors presented conceptual designs of viscometers corresponding to a new exact molecular simulation method, which includes a three-parameter family of incompressible flows, as well as compressible flows and unsteady flows exhibiting vortex stretching.
Book ChapterDOI
Ellipsoidal quantification of evolving phenomena
TL;DR: In this article, the authors presented a method for object identification by fitting generic shapes, like ellipsoids, to isolated regions in two-and three-dimensional data sets from fluid dynamical problems.
Journal ArticleDOI
Transient analysis of the fluid flow on a pumpjet propulsor
Han Li,Guang Pan,Qiaogao Huang +2 more
TL;DR: In this article, the authors discussed the transient characteristic of PJP and gave a comparative analysis between steady and transient simulations using Reynolds-averaged Navier-Stokes equations (RANSE) with a focus on the transient flow field and tip clearance effect.
References
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Book
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
J. Guckenheimer,P. J. Holmes +1 more
TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
Book
Differential Equations, Dynamical Systems, and Linear Algebra
Morris W. Hirsch,Steve Smale +1 more
TL;DR: In this article, the structure theory of linear operators on finite-dimensional vector spaces has been studied and a self-contained treatment of that subject is given, along with a discussion of the relations between dynamical systems and certain fields outside pure mathematics.
Journal ArticleDOI
Direct simulation of a turbulent boundary layer up to R sub theta = 1410
TL;DR: In this paper, the turbulent boundary layer on a flat plate, with zero pressure gradient, is simulated numerically at four stations between R sub theta = 225 and R sub tta = 1410.