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- Title
On the Darcy-Brinkman Flow Through a Channel with Slightly Perturbed Boundary.
- Authors
Marušić-Paloka, Eduard; Pažanin, Igor
- Abstract
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 $$\epsilon $$ and arbitrary smooth function h. Using asymptotic analysis with respect to $$\epsilon $$ , 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.
- Subjects
FLUID dynamics; ERROR analysis in mathematics; SMOOTHNESS of functions; ASYMPTOTIC symmetry (Physics); ACCURACY
- Publication
Transport in Porous Media, 2017, Vol 117, Issue 1, p27
- ISSN
0169-3913
- Publication type
Academic Journal
- DOI
10.1007/s11242-016-0818-4