Naslov
On the Darcy-Brinkman flow through a channel with slightly perturbed boundary

Autori
Marušić-Paloka, Eduard ; Pažanin, Igor

Izvornik
Transport in porous media (0169-3913) 117 (2017), 1; 27-44

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

Ključne riječi
boundary perturbation ; Darcy-Brinkman equation ; asymptotic approximation ; error estimates

Sažetak
The goal of this paper is to study the effects of a slightly perturbed boundary on the Darcy- Brinkman flow through a porous channel. We start from a rectangular domain and then perturb the upper part of its boundary by the product of the small parameter $\varepsilon$ and arbitrary smooth function h. Using asymptotic analysis with respect to $\varepsilon$, the effective model has been formally derived. Being in the form of the explicit formulae for the velocity and pressure, the asymptotic approximation clearly shows the nonlocal effects of the small boundary perturbation. The error analysis is also conducted providing the order of accuracy of the asymptotic solution.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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