This article is cited in 15 papers

Effects of small boundary perturbation on the MHD duct flow

Ulavathi Shettar Mahabaleshwar^a, Igor Pažanin^b, Marko Radulović^b, Francisco Javier Suárez-Grau<sup>c

a</sup> Department of Mathematics, Government First Grade College for Women, Hassan, India
^b Department of Mathematics, Faculty of Science, University of Zagreb, Zagreb, Croatia
^c Departamento de Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain

Abstract: In this paper, we investigate the effects of small boundary perturbation on the laminar motion of a conducting fluid in a rectangular duct under applied transverse magnetic field. A small boundary perturbation of magnitude $\epsilon$ is applied on cross-section of the duct. Using the asymptotic analysis with respect to $\epsilon$, we derive the effective model given by the explicit formulae for the velocity and induced magnetic field. Numerical results are provided confirming that the considered perturbation has nonlocal impact on the asymptotic solution.

Keywords: MHD flow, boundary perturbation, asymptotic analysis, nonlocal effects.

MSC: 76W05, 35B25, 35C20

Received: 11.05.2017
Revised: 05.06.2017

Language: English

DOI: 10.2298/TAM170511004M

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