On the universality of the dissipation rate functional form and of the autocorrelation function exponential form

Degrazia, Gervásio Annes; Acevedo, Otávio C.; Carvalho, Jonas C.; Goulart, A.; Moraes, Osvaldo L. L.; Velho, Haroldo F. Campos; Moreira, Davidson Martins

doi:10.1016/j.atmosenv.2004.12.011

Cited by 9 publications

(12 citation statements)

References 42 publications

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“…More recently, Degrazia et al (2005) proposed a different form for the autocorrelation function, based on an analysis of the Prairie Grass experiments:…”

Section: Introductionmentioning

confidence: 99%

Scaling of the Vertical Spreading of a Plume of a Passive Tracer in a Rough-Wall Neutral Boundary Layer

Salizzoni

Liefferinge²,

Méjean³

et al. 2010

Boundary-Layer Meteorol

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The influence of surface roughness on the dispersion of a passive scalar in a rough wall turbulent boundary layer has been studied using wind-tunnel experiments. The surface roughness was varied using different sizes of roughness elements, and different spacings between the elements. Vertical profiles of average concentration were measured at different distances downwind of the source, and the vertical spread of the plume was computed by fitting a double Gaussian profile to the data. An estimate of the integral length scale is derived from the turbulence characteristics of the boundary layer and is then used to scale the measured values of plume spread. This scaling reduces the variability in the data, confirming the validity of the model for the Lagrangian integral time scale, but does not remove it entirely. The scaled plume spreading shows significant differences from predictions of theoretical models both in the near and in the far field. In the region immediately downwind of the source this is due to the influence of the wake of the injector for which we have developed a simple model. In the far field we explain that the differences are mainly due to the absence of large-scale motions. Finally, further downwind of the source the scaled values of plume spread fall into two distinct groups. It is suggested that the difference between the two groups may be related to the lack of dynamical similarity between the boundary-layer flows for varying surface roughness or to biased estimates of the plume spread.

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“…More recently, Degrazia et al (2005) proposed a different form for the autocorrelation function, based on an analysis of the Prairie Grass experiments:…”

Section: Introductionmentioning

confidence: 99%

Scaling of the Vertical Spreading of a Plume of a Passive Tracer in a Rough-Wall Neutral Boundary Layer

Salizzoni

Liefferinge²,

Méjean³

et al. 2010

Boundary-Layer Meteorol

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“…(17) represents a term that reduces the hybrid dispersion parameter. This negative contribution results in the suppression of a number of degrees of freedom of the turbulent field associated to the high-frequency harmonics [17]. As a consequence, it is reasonable to relate the term eddies.…”

Section: Turbulence/meandering Dissipation Ratementioning

confidence: 99%

“…The lateral dissipation parameter σ y is a statistical quantity fundamental for the dispersion modeling and for the derivation of turbulence/meandering dissipation rate functional form [16,17]. From the Taylor statistical diffusion theory, this relevant parameter may be described as…”

Section: Turbulence/meandering Dissipation Ratementioning

confidence: 99%

Testing Physical and Mathematical Criteria in a New Meandering Autocorrelation Function

Szinvelski¹,

Buligon²,

BaptistellaStefanello³

et al. 2017

Turbulence Modelling Approaches - Current State, Development Prospects, Applications

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An alternative formulation for the low wind speed-meandering autocorrelation function is presented. Employing distinct theoretical criteria, this mathematical formulation, from a physical point of view, is validated. This expression for the meandering autocorrelation function reproduces well-observed wind-meandering data measured in a micrometeorological site located in a pampa ecosystem area (South Brazil). The comparison shows that the alternative relation for the meandering autocorrelation function is suitable to provide meandering characteristic parameters. Employing MacLaurin's series expansion of a lateral dispersion parameter that represents cases in which turbulence and oscillatory movements associated to the meandering events coexist, a new formulation for the turbulence/meandering dissipation rate has been presented.

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“…The lateral dispersion parameter σ y is a statistical quantity fundamental for the dispersion modeling and for the derivation of turbulence dissipation rate functional form (Tennekes, 1982;Degrazia et al, 2005). From the Taylor statistical diffusion theory, this important parameter may be described as…”

Section: Theoretical Developmentmentioning

confidence: 99%

“…Indeed, formulations for the turbulence dissipation rate are extensively employed in turbulent diffusion models to simulate the transport of passive scalars and the dispersion of contaminants in a fully developed turbulence (Thomson, 1987;Luhar and Britter, 1989;Sawford, 1991;Wilson and Sawford, 1996;Yeung, 2002;Degrazia et al, 2005). In this study, employing the Frenkiel autocorrelation coefficient, we derive a new relation to the turbulence dissipation rate for distinct types of turbulent flows.…”

Section: Introductionmentioning

confidence: 99%

Turbulence dissipation rate derivation for meandering occurrences in a stable planetary boundary layer

Degrazia

Goulart²,

Carvalho

et al. 2008

Atmos. Chem. Phys.

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Abstract.A new formulation for the turbulence dissipation rate ε occurring in meandering conditions has been presented. The derivation consists of a MacLaurin series expansion of a lateral dispersion parameter that represents cases in which turbulence and oscillatory movements associated to the meandering events coexist. The new formulation presents the identical physical premises contained in the classical and largely used one, but the new formulation derived from meandering situations is expressed in terms of the loop parameter m that controls the absolute value of the negative lobe in the meandering autocorrelation function. Therefore, the m magnitude regulates the turbulence dissipation rate. This dissipation rate decreases for cases in which turbulence and low frequency horizontal wind oscillations coexist and increases for a fully developed turbulence. Furthermore, a statistical comparison to observed concentration data shows that the alternative relation for the turbulent dissipation rate occurring in situations of meandering enhanced dispersion is suitable for applications in Lagrangian Stochastic dispersion models.

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On the universality of the dissipation rate functional form and of the autocorrelation function exponential form

Cited by 9 publications

References 42 publications

Scaling of the Vertical Spreading of a Plume of a Passive Tracer in a Rough-Wall Neutral Boundary Layer

Scaling of the Vertical Spreading of a Plume of a Passive Tracer in a Rough-Wall Neutral Boundary Layer

Testing Physical and Mathematical Criteria in a New Meandering Autocorrelation Function

Turbulence dissipation rate derivation for meandering occurrences in a stable planetary boundary layer

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