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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Application of fully convolutional neural networks for feature extraction in fluid flow
TL;DR: This work proposes a method that transforms each cell of the computational domain into a detection pixel (measurement box) to perform the task of feature extraction at the smallest possible computational level and demonstrates the performance.
Journal ArticleDOI
Reynolds number dependence of flow past a shallow open cavity
TL;DR: In this article, the authors measured instantaneous velocities through ensemble average, vortex extraction, and proper orthogonal decomposition (POD) to investigate overall flow circulations, Reynolds stress distribution, spanwise vortex population, and the characteristics of the POD modes.
Journal ArticleDOI
Manipulating Flow to Reduce Drag of a Square Cylinder by Using a Self-Sustained Vibrating Rod
TL;DR: In this article, a self-sustained vibrating rod placed around the leading edge of the upwind-facing lateral face of a square cylinder was used to manipulate the flow, vortex shedding and surface pressure of the cylinder at incidence.
Journal ArticleDOI
Evaluation of a novel curved vortex exhaust system for pollutant removal
TL;DR: In this article, a novel curved vortex exhaust system (CVES) was proposed as an alternative for capturing pollutants when a canopy hood cannot be used. And the authors investigated the relationship between the supply/exhaust flow ratio and size of the effective pollution source area with different exhaust outlet flow rates.
Journal ArticleDOI
A model equation for the joint distribution of the length and velocity difference of streamline segments in turbulent flows
TL;DR: In this article, a model for the joint probability density function (jpdf) of streamline segments is proposed, based on a previously formulated model of the marginal pdf of the arclength, P(l), which contains terms that account for slow changes as well as fast changes of streamlines segments.
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.