An Analytical Solution for the Transient Two-Dimensional Advection–Diffusion Equation with Non-Fickian Closure in Cartesian Geometry by the Generalized Integral Transform Technique

D. Buske (), M. T. Vilhena (), D. Moreira () and T. Tirabassi ()
Additional contact information
D. Buske: Universidade Federal de Pelotas
M. T. Vilhena: Universidade Federal do Rio Grande do Sul
D. Moreira: Universidade Federal do Pampa
T. Tirabassi: Istituto di Scienze dell’Atmosfera e del Clima

Chapter 4 in Integral Methods in Science and Engineering, Volume 2, 2010, pp 33-40 from Springer

Abstract: Abstract Analytical solutions of equations are of fundamental importance in understanding and describing physical phenomena, since they are able to take into account all the parameters of a problem and investigate their influence. In a recent work, [Bus07] reported an analytical solution for the stationary two-dimensional advection–diffusion equation with Fickian closure by the Generalized Integral Laplace Transform Technique (GILTT). The main idea of this method consists of: construction of an auxiliary Sturm–Liouville problem, expansion of the contaminant concentration in a series in terms of the obtained eigenfunctions, replacement of the expansion in the original equation, and finally after taking moments, resulting a set of ordinary differential equations which are then solved analytically by the Laplace transform technique. In this chapter, pursuing the task of searching analytical solutions, we start by presenting an analytical solution for the transient two-dimensional advection–diffusion equation with non-Fickian closure in Cartesian geometry by the GILTT method. We specialize the application of this methodology to the simulation of pollutant dispersion in the planetary boundary layer (PBL) under low wind conditions. We also present numerical results and comparison with experimental data.

Keywords: Planetary Boundary Layer; Convective Boundary Layer; Pollutant Dispersion; Liouville Problem; Lagrangian Time Scale (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4897-8_4

Ordering information: This item can be ordered from
http://www.springer.com/9780817648978

DOI: 10.1007/978-0-8176-4897-8_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().