Journal ArticleDOI
A general classification of three-dimensional flow fields
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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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Effect of coolant-mainstream blowing ratio on leading edge film cooling flow and heat transfer : LES investigation
Ali Rozati,Danesh K. Tafti +1 more
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Varicose instabilities in turbulent boundary layers
TL;DR: In this article, a model of turbulence generation in the wall region of a turbulent boundary layer is made through direct numerical simulations, which is based on the varicose instability of a streak.
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A Liutex based definition and identification of vortex core center lines
TL;DR: Li et al. as discussed by the authors proposed a Liutex-based definition of vortex core center, also called vortex rotation axis line, which mathematically implies that the cross product of the L 1 magnitude gradient vector and the L 2 vector on the line is equal to zero.
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Amplification of enstrophy in the far field of an axisymmetric turbulent jet
TL;DR: In this article, the authors explored the amplification of enstrophy using cinematographic stereoscopic particle image velocimetry data and found that the nature of enrophy amplification, whether it is positive (enstrophy production) or negative (enrophy destruction), is dictated by the alignment between? and e1.
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Instantaneous three-dimensional concentration measurements in the self- similar region of a round high-Schmidt-number jet
TL;DR: In this article, the authors measured three-dimensional concentration fields in the self-similar region of natural or unexcited, circularly excited and weakly buoyant round jets of Reynolds number based on nozzle diameter of 1000 to 4000 at a spatial resolution of the order of the Kolmogorov length scale.
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.
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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.