The long range transport of airborne material and its removal by deposition and washout—II. The effect of turbulent diffusion

Scriven, R.A.; Fisher, B.E.A.

doi:10.1016/0004-6981(75)90054-2

Cited by 38 publications

(11 citation statements)

References 7 publications

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“…Approaches to the advection-diffusion problem are not new in the literature; they are either based on numerical schemes, stochastic simulations or (semi-)analytical methods, as shown in a selection of articles (see [ScFi75], [De78], [NiDe81], [Ti89], [ShSiYa96], [LiHi97]). Note that in these works all solutions are valid for scenarios with strong restrictions with respect to their specific wind and vertical eddy diffusivity profiles.…”

Section: The Advection-diffusion Approachmentioning

confidence: 99%

Integral Methods in Science and Engineering

2013

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Section: The Advection-diffusion Approachmentioning

confidence: 99%

Integral Methods in Science and Engineering

2013

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“…At this point it is necessary to mention the existence of many closed-form solutions either in integral form or series formulations, with the main property that both solutions are equivalent. Among them we mention some works (Rounds 1955;Smith 1957;Ogata 1970;Marino 1974;Scriven and Fisher 1975;Demuth 1978). All of these studies were done in one-dimension, and have been compiled (van Genuchten and Alves 1982;Lindstrom and Boersma 1989).…”

Section: Introductionmentioning

confidence: 99%

One-dimensional unsteady solute transport along unsteady flow through inhomogeneous medium

et al. 2011

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The one-dimensional linear advection-diffusion equation is solved analytically by using the Laplace integral transform. The solute transport as well as the flow field is considered to be unsteady, both of independent patterns. The solute dispersion occurs through an inhomogeneous semi-infinite medium. Hence, velocity is considered to be an increasing function of the space variable, linearly interpolated in a finite domain in which solute dispersion behaviour is studied. Dispersion is considered to be proportional to the square of the spatial linear function. Thus, the coefficients of the advection-diffusion equation are functions of both the independent variables, but the expression for each coefficient is considered in degenerate form. These coefficients are reduced into constant coefficients with the help of a new space variable, introduced in our earlier works, and new time variables. The source of the solute is considered to be a stationary uniform point source of pulse type.

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“…8 After the time t\, the rain is stopped. The area integrated concentration Xi( z > 0 m the interval (t ly T) associated with area Q 2 can be obtained by solving the governing Eqs.…”

Section: Introductionmentioning

confidence: 99%