Self-similar profile of probability density functions in zero-pressure gradient turbulent boundary layers

2005 ◽  
Vol 37 (5) ◽  
pp. 293-316 ◽  
Author(s):  
Yoshiyuki Tsuji ◽  
Björn Lindgren ◽  
Arne V Johansson
Keyword(s):  
Pressure Gradient ◽  
Probability Density ◽  
Boundary Layers ◽  
Turbulent Boundary Layers ◽  
Probability Density Functions ◽  
Density Functions ◽  
Similar Profile ◽  
Self Similar

scholarly journals Small-Scale and Mesoscale Variability of Scalars in Cloudy Boundary Layers: One-Dimensional Probability Density Functions

2001 ◽  
Vol 58 (14) ◽  
pp. 1978-1994 ◽  
Author(s):  
Vincent E. Larson ◽  
Robert Wood ◽  
Paul R. Field ◽  
Jean-Christophe Golaz ◽  
Thomas H. Vonder Haar ◽  
...  
Keyword(s):  
Probability Density ◽  
Boundary Layers ◽  
Probability Density Functions ◽  
Small Scale ◽  
Density Functions ◽  
Mesoscale Variability ◽  
One Dimensional

scholarly journals Temperature profiles, plumes and spectra in the surface layers of convective atmospheric boundary layers

2019 ◽  
Author(s):  
Keith G. McNaughton ◽  
Subharthi Chowdhuri
Keyword(s):  
Probability Density ◽  
Heat Transport ◽  
Boundary Layers ◽  
Turbulent Flows ◽  
Joint Probability ◽  
Probability Density Functions ◽  
Emergent Properties ◽  
Density Functions ◽  
Convective Boundary ◽  
Scaling Properties

Abstract. We survey temperature patterns and heat transport in convective boundary layers (CBLs) from the perspective that these are emergent properties of far-from-equilibrium, complex dynamical systems. We use the term 'plumes' to denote the temperature patterns, in much the same way that the term 'eddies' is used to describe patterns of motion in turbulent flows. We introduce a two-temperature (2T) toy model to connect the scaling properties of temperature gradients, temperature variance and heat transport to the geometric properties of plumes. We then examine temperature (T) probability density functions and w-T joint probability density functions, T spectra and wT cospectra observed both within and above the surface friction layer. Here w is vertical velocity. We interpret these in terms of the properties of the plumes that give rise to them. We focus first on the self-similarity property of the plumes above the SFL, and then introduce new scaling results from within the SFL, which show that T spectra and wT cospectra are not self-similar with height at small heights z/zs 

MIXING DISTRIBUTIONS PRODUCED BY MULTIPLICATIVE STRETCHING IN CHAOTIC FLOWS

1992 ◽  
Vol 02 (01) ◽  
pp. 37-50 ◽  
Author(s):  
F.J. MUZZIO ◽  
P.D. SWANSON ◽  
J.M. OTTINO
Keyword(s):  
Spatial Distribution ◽  
Probability Density ◽  
Probability Density Functions ◽  
Density Functions ◽  
Chaotic Flows ◽  
Mixing Distributions ◽  
Small Scales ◽  
Self Similar ◽  
Visual Demonstration ◽  
Unstable Manifolds

Chaotically advected fluids are both a visual demonstration of stretching and folding leading to chaos and a prototypical example of a multiplicative process with weakly correlated steps. Complementary aspects of the process are studied by means of stretching calculations for different flows under both globally and partially chaotic conditions. Stretching is examined in two different ways: (i) as stretching plots, focusing primarily on stretching at small scales and on the comparison of the spatial distribution of stretching with dye structures and with unstable manifolds, and (ii) as time evolving probability density functions, analyzed using scaling techniques that renormalize the distributions by means of their moments. The first approach leads to the conclusion that the manifold structure generates the striation pattern observed in dye deformation experiments, and that both manifolds and dye patterns agree with stretching plots even at small scales. The second approach demonstrates that the multiplicative nature of stretching generates universal statistics which are reflected in self-similar scaling distributions.

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