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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Experimental Measurement of the Velocity Field of Round Wall Jet in Counterflow
Mohammad Mahmoudi,Brian A. Fleck +1 more
TL;DR: In this article, the mean and fluctuating velocity fields of a three-dimensional round wall jet in counterflow were investigated and the results showed that up to 70% of the wall jet penetration length, the velocity decay, and the spreading rate are effectively identical to those of a quiescent ambient flow.
Journal ArticleDOI
A Continuum Model for the Unfolding of von Willebrand Factor.
TL;DR: In this paper, a continuum model of von Willebrand Factor (VWF) unfolding is proposed to account for the conformation of the vWF multimers when modeling vWF-mediated thrombosis or vWF degradation.
Journal ArticleDOI
Wake dynamics and surface pressure variations on two-dimensional normal flat plates
TL;DR: In this article, the relationship between vortex dynamics and surface pressure fluctuations on the leeward face of a two-dimensional normal thin flat plate was studied using Direct Numerical Simulations for incompressible flow at a Reynolds number of 1200.
Journal ArticleDOI
Wake characteristics of a sphere performing streamwise rotary oscillations
TL;DR: In this paper, three-dimensional computations have been carried out to investigate flow past a sphere performing rotation and rotary oscillation about streamwise axis, and the effect of streamwise rotation has been analysed for fixed Reynolds number of 300, with non-dimensional rotational rate taking values 0, 0.5, 1, 1.5 and 2.
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.