Journal ArticleDOI
A general classification of three-dimensional flow fields
Reads0
Chats0
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
More filters
Journal ArticleDOI
Dynamics of a deformable, transversely rotating droplet released into a uniform flow
TL;DR: The effects of transverse rotation on the dynamics of a droplet released into a uniform free stream are numerically investigated in this paper, where the range of the dimensionless rotation rate is limited to 0 ≤ Ω* ≤ 1, to avoid any possibility of the droplet breaking up.
Journal ArticleDOI
An elliptical region method for identifying a vortex with indications of its compressibility and swirling pattern
TL;DR: In this article, a local trace criterion (LT cri ) is proposed to identify the vortex, and a projection plane with an analytical elliptical region corresponding to the LT cri is constructed to indicate the compressibility and swirling pattern of the recognized vortex region simultaneously.
Dissertation
Coherent structures and wall-pressure fluctuations modeling in turbulent boundary layers subjected to pressure gradients
TL;DR: In this article, a stochastic turbulent velocity field using hairpin packets which are subjected to a mean flow is proposed to predict the levels of vibrations of panels submitted to a turbulent boundary layer flow over a portion of an aircraft cabin.
Book ChapterDOI
The Effect of Compressibility on Conserved Scalar Entrainment in a Plane Free Shear Layer
TL;DR: In this article, a numerical investigation of entrainment by organized motions in a compressible plane free shear layer is presented, and the instantaneous streamline pattern at moderate convective Mach number is presented in a convective frame, and critical points of the velocity gradient tensor are classified.
Journal ArticleDOI
Hairpin vortices in the largest scale of turbulent boundary layers
Yutaro Motoori,Susumu Goto +1 more
TL;DR: In this article, a Gaussian filter with the filter width comparable to the boundary layer thickness was used to extract the largest-scale hairpin vortices in a turbulent boundary layer for the momentum-thickness-based Reynolds number.
References
More filters
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.