Naslov
MHD Flow Through a Perturbed Channel Filled with a Porous Medium

Autori
Marušić-Paloka, Eduard ; Pažanin, Igor ; Radulović, Marko

Izvornik
Bulletin of the Malaysian Mathematical Sciences Society (0126-6705) 45 (2022), 5; 2441-2471

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

Ključne riječi
Boundary perturbation ; MHD flow ; Asymptotic approximation ; Error estimates

Sažetak
The main aim of this paper is to investigate the effects of a slightly perturbed boundary on the MHD flow through a channel filled with a porous medium. We start from a rectangular domain and then perturb the upper part of its boundary by the product of the small parameter ε and an arbitrary smooth function h. Employing asymptotic analysis with respect to ε, we derive the first-order effective model. We can clearly observe the nonlocal effects of the small boundary perturbation with respect to the Hartmann number since the asymptotic approximation is derived in explicit form. Theoretical error analysis is also provided, rigorously justifying our formally derived model.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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