The principle of maximum randomness in the theory of fully developed turbulence. I. Homogeneous isotropic turbulence

1992 ◽  
Vol 91 (2) ◽  
pp. 532-542 ◽  
Author(s):  
L. Ts. Adzhemyan ◽  
M. Yu. Nalimov
Keyword(s):  
Isotropic Turbulence ◽  
Homogeneous Isotropic Turbulence ◽  
Fully Developed Turbulence ◽  
Developed Turbulence ◽  
Principle Of Maximum

scholarly journals Numerical simulations of aggregate breakup in bounded and unbounded turbulent flows

2015 ◽  
Vol 766 ◽  
pp. 104-128 ◽  
Author(s):  
Matthaus U. Babler ◽  
Luca Biferale ◽  
Luca Brandt ◽  
Ulrike Feudel ◽  
Ksenia Guseva ◽  
...  
Keyword(s):  
Numerical Simulations ◽  
Turbulent Flows ◽  
Isotropic Turbulence ◽  
Turbulent Channel Flow ◽  
Stochastic Flow ◽  
Homogeneous Isotropic Turbulence ◽  
Mean Flow ◽  
Flow Properties ◽  
Developed Turbulence ◽  
Flow Configurations

AbstractBreakup of small aggregates in fully developed turbulence is studied by means of direct numerical simulations in a series of typical bounded and unbounded flow configurations, such as a turbulent channel flow, a developing boundary layer and homogeneous isotropic turbulence. The simplest criterion for breakup is adopted, whereby aggregate breakup occurs when the local hydrodynamic stress ${\it\sigma}\sim {\it\varepsilon}^{1/2}$, with ${\it\varepsilon}$ being the energy dissipation at the position of the aggregate, overcomes a given threshold ${\it\sigma}_{cr}$, which is characteristic for a given type of aggregate. Results show that the breakup rate decreases with increasing threshold. For small thresholds, it develops a scaling behaviour among the different flows. For high thresholds, the breakup rates show strong differences between the different flow configurations, highlighting the importance of non-universal mean-flow properties. To further assess the effects of flow inhomogeneity and turbulent fluctuations, the results are compared with those obtained in a smooth stochastic flow. Furthermore, we discuss the limitations and applicability of a set of independent proxies.

NEW DEVELOPMENTS AND CLASSICAL THEORIES OF TURBULENCE

1996 ◽  
Vol 10 (18n19) ◽  
pp. 2325-2392 ◽  
Author(s):  
E. LEVICH
Keyword(s):  
Turbulent Flows ◽  
Isotropic Turbulence ◽  
Physical Space ◽  
Phase Coherence ◽  
Navier Stokes ◽  
Homogeneous Isotropic Turbulence ◽  
Navier Stokes Equation ◽  
Inviscid Flows ◽  
Turbulence Control ◽  
Developed Turbulence

In this paper we review certain classical and modern concepts pertinent for the theory of developed turbulent flows. We begin by introducing basic facts concerning the properties of the Navier-Stokes equation with the emphasis on invariant properties of the vorticity field. Then we discuss classical semiempirical approaches to developed turbulence which for a long time have constituted a basis for engineering solutions of turbulent flows problems. We do it for two examples, homogeneous isotropic turbulence and flat channel turbulent flow. Next we discuss the insufficiency of classical semi-empirical approaches. We show that intermittency is an intrinsic feature of all turbulent flows and hence it should be accounted for in any reasonable theoretical approach to turbulence. We argue that intermittency in physical space is in one to one correspondence with certain phase coherence of turbulence in an appropriate dual space, e.g. Fourier space for the case of homogeneous isotropic turbulence. In the same time the phase coherence has its origin in invariant topological properties of vortex lines in inviscid flows, modified by the presence of small molecular viscosity. This viewpoint is expounded again using the examples of homogeneous isotropic turbulence and channel flow turbulence. Finally we briefly discuss the significance of phase coherence and intermittency in turbulence for the fundamental engineering challenge of turbulence control.

Observation of Intense Filaments in Fully Developed Turbulence

1996 ◽  
Vol 6 (4) ◽  
pp. 573-583 ◽  
Author(s):  
F. Belin ◽  
J. Maurer ◽  
P. Tabeling ◽  
H. Willaime
Keyword(s):  
Fully Developed Turbulence ◽  
Developed Turbulence

Fully Developed Turbulence: A Unifying Point of View

1995 ◽  
Vol 5 (7) ◽  
pp. 895-899 ◽  
Author(s):  
B. Castaing ◽  
B. Dubrulle
Keyword(s):  
Point Of View ◽  
Fully Developed Turbulence ◽  
Developed Turbulence

Small-scale energy cascade in homogeneous isotropic turbulence

2019 ◽  
Vol 4 (10) ◽  
Author(s):  
Mohamad Ibrahim Cheikh ◽  
James Chen ◽  
Mingjun Wei
Keyword(s):  
Isotropic Turbulence ◽  
Energy Cascade ◽  
Small Scale ◽  
Homogeneous Isotropic Turbulence

scholarly journals Lagrangian irreversibility and Eulerian dissipation in fully developed turbulence

2020 ◽  
Vol 5 (4) ◽  
Author(s):  
Jason R. Picardo ◽  
Akshay Bhatnagar ◽  
Samriddhi Sankar Ray
Keyword(s):  
Fully Developed Turbulence ◽  
Developed Turbulence
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