An exact solution for the 3D MHD stagnation-point flow
of a micropolar fluid

Alessandra Borrelli; Giulia Giantesio; Maria Cristina Patria

doi:DOI: 10.1016/j.cnsns.2014.04.011

An exact solution for the 3D MHD stagnation-point flow of a micropolar fluid

Alessandra Borrelli, Giulia Giantesio^*, Maria Cristina Patria

^*Corresponding author

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

The influence of a non-uniform external magnetic field on the steady three dimensional stagnation-point flow of a micropolar fluid over a rigid uncharged dielectric at rest is studied. The total magnetic field is parallel to the velocity at infinity. It is proved that this flow is possible only in the axisymmetric case. The governing nonlinear partial differential equations are reduced to a system of ordinary differential equations by a similarity transformation, before being solved numerically. The effects of the governing parameters on the fluid flow and on the magnetic field are illustrated graphically and discussed.

Original language	English
Pages (from-to)	121-135
Number of pages	15
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	20
Issue number	1
DOIs	https://doi.org/DOI: 10.1016/j.cnsns.2014.04.011
Publication status	Published - 2015

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modelling and Simulation
Applied Mathematics

Keywords

MHD flow
Micropolar fluids
numerical solutions
three-dimensional stagnation- point flow

Access to Document

DOI: 10.1016/j.cnsns.2014.04.011

Cite this

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abstract = "The influence of a non-uniform external magnetic field on the steady three dimensional stagnation-point flow of a micropolar fluid over a rigid uncharged dielectric at rest is studied. The total magnetic field is parallel to the velocity at infinity. It is proved that this flow is possible only in the axisymmetric case. The governing nonlinear partial differential equations are reduced to a system of ordinary differential equations by a similarity transformation, before being solved numerically. The effects of the governing parameters on the fluid flow and on the magnetic field are illustrated graphically and discussed.",

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AU - Borrelli, Alessandra

AU - Giantesio, Giulia

AU - Patria, Maria Cristina

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Y1 - 2015

N2 - The influence of a non-uniform external magnetic field on the steady three dimensional stagnation-point flow of a micropolar fluid over a rigid uncharged dielectric at rest is studied. The total magnetic field is parallel to the velocity at infinity. It is proved that this flow is possible only in the axisymmetric case. The governing nonlinear partial differential equations are reduced to a system of ordinary differential equations by a similarity transformation, before being solved numerically. The effects of the governing parameters on the fluid flow and on the magnetic field are illustrated graphically and discussed.

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KW - MHD flow

KW - Micropolar fluids

KW - numerical solutions

KW - three-dimensional stagnation- point flow

KW - MHD flow

KW - Micropolar fluids

KW - numerical solutions

KW - three-dimensional stagnation- point flow

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