A Lagrangian Solution to the Relationship between Source Strength and Concentration Profile Under Conditions of Local Advection

Qiu, Guowang; Warland, J.

doi:10.1007/s10546-006-9098-9

Cited by 1 publication

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“…For such near-field applications, a Lagrangian approach is preferred, where particles are followed in a randomly fluctuating turbulent field with specified velocity variance and integral length scale (Raupach 1989;Wilson and Sawford 1996;Qiu and Warland 2007). The influence of particle inertia on turbulent diffusion (Csanady 1963) can also be included in such an analysis.…”

Section: Introductionmentioning

confidence: 99%

A K-Theory of Dispersion, Settling and Deposition in the Atmospheric Surface Layer

Smith

2008

Boundary-Layer Meteorol

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Dispersion estimates with a Gaussian plume model are often incorrect because of particle settling (β), deposition (γ ) or the vertical gradient in diffusivity (K v (z) = K 0 + µz). These "non-Gaussian" effects, and the interaction between them, can be evaluated with a new Hankel/Fourier method. Due to the deepening of the plume downwind and reduced vertical concentration gradients, these effects become more important at greater distance from the source. They dominate when distance from the source exceeds L β = K 0 U/β 2 , L γ = K 0 U/γ 2 and L µ = K 0 U/µ 2 respectively. In this case, the ratio β/µ plays a central role and when β/µ = 1/2 the effects of settling and K gradient exactly cancel. A general computational method and several specific closed form solutions are given, including a new dispersion relation for the case when all three non-Gaussian effects are strong. A more general result is that surface concentration scales as C(x) ∼ γ −2 whenever deposition is strong. Categorization of dispersion problems using β/µ, L γ and L µ is proposed. List of SymbolsU, V Horizontal wind components (m s −1 ) K 0 Vertical diffusivity at z = 0 (ground or canopy top) (m 2 s −1 )Horizontal diffusivity (m 2 s −1 ) x, y Horizontal coordinates (m) zDistance above ground or canopy top (m) zOffset vertical distance (m)

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Section: Introductionmentioning

confidence: 99%

A K-Theory of Dispersion, Settling and Deposition in the Atmospheric Surface Layer

Smith

2008

Boundary-Layer Meteorol

View full text Add to dashboard Cite

show abstract

A Lagrangian Solution to the Relationship between Source Strength and Concentration Profile Under Conditions of Local Advection

Cited by 1 publication

References 20 publications

A K-Theory of Dispersion, Settling and Deposition in the Atmospheric Surface Layer

A K-Theory of Dispersion, Settling and Deposition in the Atmospheric Surface Layer

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