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A note on the solute dispersion in a porous medium


Pažanin, Igor
A note on the solute dispersion in a porous medium // Bulletin of the Malaysian Mathematical Sciences Society, 42 (2019), 2; 729-741 (međunarodna recenzija, članak, znanstveni)


Naslov
A note on the solute dispersion in a porous medium

Autori
Pažanin, Igor

Izvornik
Bulletin of the Malaysian Mathematical Sciences Society (0126-6705) 42 (2019), 2; 729-741

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Solute dispersion ; porous medium ; chemical reaction ; small boundary perturbation ; asymptotic analysis

Sažetak
In this paper we study the solute transport through a semi-infinite channel filled with a fluid saturated sparsely packed porous medium. A small perturbation of magnitude $\varepsilon$ is applied on the channel's walls on which the solute particles undergo a first-order chemical reaction. The effective model for solute concentration in the small--P\'{; ; ; e}; ; ; clet-- number--regime is derived using asymptotic analysis with respect to the small parameter $\varepsilon$. The obtained mathematical model clearly indicates the effects of porous medium, chemical reaction and boundary distortion. In particular, the effect of porous medium parameter on the dispersion coefficient is discussed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (Eduard Marušić-Paloka, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Igor Pažanin, (267385)

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus