Effects of small boundary perturbation on the MHD duct flow

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...

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Detalles Bibliográficos
Autores: Mahabaleshwar, Ulavathi Shettar, Pažanin, Igor, Radulović, Marko, Suárez Grau, Francisco Javier
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/62395
Acceso en línea:http://hdl.handle.net/11441/62395
https://doi.org/10.2298/TAM170511004M
Access Level:acceso abierto
Palabra clave:MHD flow
Boundary perturbation
Asymptotic analysis
Nonlocal effects
Descripción
Sumario: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.