Statistical Concepts of Turbulence

Frost, W.; Bitte, Jurgen

doi:10.1007/978-1-4684-2322-8_3

Cited by 4 publications

(10 citation statements)

References 4 publications

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“…which resembles the approximation proposed by Bradshaw a n d o r k e r~~' for the diffusion term of Eqn (46). The merit of Eqn (115) is that 3 now becomes a closure variable to the k -e -3 model; thus t h e s t a ndard k--E-3 model, by using Eqn (115) …”

Section: (Pd Diffusion ( -6~~)mentioning

confidence: 91%

“…This energy is then transferred to neighbouring eddies of smaller scales continuing to smaller and smaller scales (larger and larger velocity gradients), the smallest scale being reached when the eddies lose energy by the direct action of viscous stresses which finally convert it into internal thermal energy on the smallest-sized eddies. 46 It is important to note that viscosity does not play any role in the stretching process nor does it determine the amount of dissipated energy; it only determines the smallest scale at which dissipation takes place. It is the large eddies (comparable with the linear dimensions of the flow domain), characterizing the large-scale motion, that determine the rate at which the mean flow kinetic energy is fed into turbulent motion, and can be passed on to smaller scales and be finally dissipated.…”

Section: Nature and Origin Of Turbulencementioning

confidence: 99%

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Mathematical modeling of natural convection in fire—A state of the art review of the field modelling of variable density turbulent flow

Kumar

1983

Fire and Materials

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This review concerns the mathematical modelling of fire phenomena. The fire is treated as a heat and mass source driving a fluid flow process. Combustion is not included. It deals in detail with the field modelling approach incorporating the effects of turbulence, strong buoyancy and variable density on the transport of momentum, heat and mass. For the sake of simplicity, other effects such as those due to the interactions of the above mechanisms with the wall, radiation, etc., which may be crucial to the dynamics of the fire phenomenon, are not dealt with in this review. These effects will be the subject of future work.

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Section: (Pd Diffusion ( -6~~)mentioning

confidence: 91%

Section: Nature and Origin Of Turbulencementioning

confidence: 99%

Mathematical modeling of natural convection in fire—A state of the art review of the field modelling of variable density turbulent flow

Kumar

1983

Fire and Materials

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“…A framework for the description of fully-developed turbulent flows has not arisen, except for the notion that the fractal dimension of dissipative structures is assumed to represent the .total (reduced) number of degrees of freedom in the system. w compresscd S 'w; Figure 6.1; Schematic diagram of vortex stretching showing the compression and stretch ing of fluid elements (Frost and Bitte, 1977)…”

Section: Deterministic Movementmentioning

confidence: 99%

Numerical studies of chemical selectivity and heat transfer in decaying homogenous turbulence

Chakrabarti

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INFORMATION TO USERSThis manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be 6om any type of computer printer.The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction.In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion.Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand corner and continuing from left to right in equal sections with small overlaps. Each original is also photographed in one exposure and is included in reduced form at the back of the book.

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“…In a very simple way, turbulence is frequently described as an energy cascade (or eddy cascade); where the energy is put into the system at large length scales. The cascade of energy then takes place predominantly from neighboring eddies to neighboring eddies continuing to smaller and smaller length scales (larger and larger velocity gradients) through the mechanism of vortex stretching until viscosity finally dissipates the energy received by the smaller eddies (Frost and Bitte, 1977;and Voke and Collins, 1983).…”

Section: Energy Cascadementioning

confidence: 99%

“…These large eddies are inertia controlled and are very little affected by viscosity. Frost and Bitte (1977) called these "energy bearing anisotropic eddies". This range of eddies is most frequently referred to as the "production scale eddies".…”

Section: Energy Cascadementioning

confidence: 99%

Effect of various mixing devices and patterns on flocculation kinetics in water treatment

Sajjad¹

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Distribution of hydrolysis products (x,y) at I = IM and 25°C in (a) O.IM Fe(III), (b) lO'^M Fe(III), and (c) solutions saturated with a-FeO(OH) Distribution of hydrolysis products (x,y) at I = IM and 25°C in (a) O.IM Al(III), (b) lO'^M Al(IIl), and (c) solutions saturated with a-Al(0H)3 Distribution of 5.0 x 10"^ M hydrolyzed aluminum (III) as a function of pH Species composition of aluminum sulfate solutions Species composition of ferric chloride solutions Species composition of ferric sulfate solutions Rate constants for water exchange, and mean residence times for water molecules in primary hydration shells, for 2+ and 3+ metal ions, at 298°K The alum coagulation diagram and its relationship to zeta potential The ferric chloride coagulation diagram for turbidity removal 78 Zeta potential of kaolinite in aluminum sulfate solutions 81 Micrelectrophoresis mobility of kaolinite and Fe floes 81 Ferric chloride and alum coagulation diagrams [hatched areas represent sweep floe zones for ferric chloride (\\\) and alum (///)] 84 Figure 6.42. Effect of coagulant type on flocculation kinetics of kaolinite clay at temperature = 23° C and pH = 7.8

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Statistical Concepts of Turbulence

Cited by 4 publications

References 4 publications

Mathematical modeling of natural convection in fire—A state of the art review of the field modelling of variable density turbulent flow

Mathematical modeling of natural convection in fire—A state of the art review of the field modelling of variable density turbulent flow

Numerical studies of chemical selectivity and heat transfer in decaying homogenous turbulence

Effect of various mixing devices and patterns on flocculation kinetics in water treatment

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