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Invariants in Turbulent Flow

The Physics of Fluids, 1966
As suggested by Phillips, it is shown that in inhomogeneous turbulent flow certain integrals are invariant which are related to the Loitsianskii integral. Under appropriate circumstances, the Loitsianskii invariant is restored (when properly interpreted).
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Microcirculations in turbulent flows

Physical Review E, 1995
Velocity circulations over infinitesimal fluid contours (microcirculations) are considered. A statistical evolution of microcirculations is studied (in particular, initial tendencies) with various initial orientations of fluid contours relative to the vorticity field.
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Calculation of Turbulent Flows

1975
This chapter deals only with the calculation of the velocity field. Calculation of heat or pollutant transfer, which depends on knowledge of the velocity field, is discussed in Chapter 6. The present discussion refers mainly to shear layers, being the commonest type of flow with significant Reynolds stresses, and some of the methods presented are ...
W. C. Reynolds, T. Cebeci
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The Onset of Turbulence in Pipe Flow

Science, 2011
The lifetimes of injected jet puffs are used to determine the critical point at which turbulent pipe flow is sustained.
Avila, K.   +5 more
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Turbulence Transition in Pipe Flow

Annual Review of Fluid Mechanics, 2007
Pipe flow is a prominent example among the shear flows that undergo transition to turbulence without mediation by a linear instability of the laminar profile. Experiments on pipe flow, as well as plane Couette and plane Poiseuille flow, show that triggering turbulence depends sensitively on initial conditions, that between the laminar and the ...
Eckhardt, Bruno   +3 more
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DISCONTINUOUS GALERKIN FOR TURBULENT FLOWS

2011
The purpose of this chapter is to present all the relevant features of a high-order DG method developed over the years for the numerical solution of the RANS and k-w equations. The method has been implemented using orthogonal and hierarchical modal shape functions defined in the real space.
Francesco Bassi   +4 more
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“Turbulent Flow in Alluvium”

Nature, 1946
SIR CLAUDE INGLIS, in. his letter published in Nature of October 19, p. 552, remarks that my formulae for alluvial flow are based on two fundamental relationships. It would be more correct to state that two independent fundamental equations are necessary to a complete solution, and that each of these equations consists of an empirical correlation of ...
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Concentration Fluctuations in Turbulent Flow

2007
The aim of this work is the formulation of a mathematical model for reacting turbulent flows and its validation through comparison with other models and experimental data. The model is based on the Lagrangian statistical description of the turbulent diffusion, developed firstly for the turbulent dispersion of one particle in homogeneous flows and later
Mortarini, Luca, Ferrero, E
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Turbulent Flow

1984
Abstract Almost all flows that transport sediment are turbulent. We’ve mentioned turbulence at several points already and devoted an introductory section in Chapter 3 to it; this chapter deals in more detail with some aspects of turbulent flow most relevant to sediment transport.
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Turbulent Flows

1997
Many geological flows involve turbulence, wherein the velocity field involves complex, fluctuating motions superimposed on a mean motion. Flows in natural river channels are virtually always turbulent. Magma flow in dikes and sills, and lava flows, can be turbulent. Atmospheric flows involving eolian transport are turbulent.
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