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Effects of small boundary perturbation on the MHD duct flow


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Opened Access Effects of small boundary perturbation on the MHD duct flow

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Author: Mahabaleshwar, Ulavathi Shettar
Pažanin, Igor
Radulović, Marko
Suárez Grau, Francisco Javier
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2017
Published in: Theoretical and Applied Mechanics, 44 (1), 83-101.
Document type: Article
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 ∈ is applied on cross-section of the duct. Using the asymptotic analysis with respect to ∈, 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.
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DOI: 10.2298/TAM170511004M

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