The deformation of a ferrofluid drop under a uniform magnetic field
This paper investigates axisymmetric shapes of a ferrofluid drop immersed in a uniform magnetic field. Approximate solutions are constructed for the governing nonlinear boundary value problem using the domain perturbation method. Bifurcation and turning points are located by applying a special type...
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Veröffentlicht in: | International journal of non-linear mechanics 2018-03, Vol.99, p.173-181 |
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container_title | International journal of non-linear mechanics |
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creator | Filali, Youness Er-Riani, Mustapha El Jarroudi, Mustapha |
description | This paper investigates axisymmetric shapes of a ferrofluid drop immersed in a uniform magnetic field. Approximate solutions are constructed for the governing nonlinear boundary value problem using the domain perturbation method. Bifurcation and turning points are located by applying a special type of Hermite–Padé approximation.
•The deformation of a ferrofluid drop under a uniform magnetic field has been studied.•The domain perturbation method has been used to determine equilibrium configurations.•Bifurcation and turning points has been performed using a special Hermite–Padé approximation. |
doi_str_mv | 10.1016/j.ijnonlinmec.2017.11.012 |
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•The deformation of a ferrofluid drop under a uniform magnetic field has been studied.•The domain perturbation method has been used to determine equilibrium configurations.•Bifurcation and turning points has been performed using a special Hermite–Padé approximation.</description><subject>Bifurcations</subject><subject>Boundary value problems</subject><subject>Deformation</subject><subject>Drops</subject><subject>Ferrites</subject><subject>Ferrofluids</subject><subject>Hermite–Padé approximation</subject><subject>Magnetic fields</subject><subject>Magnetism</subject><subject>Magnetohydrodynamics</subject><subject>Pade approximation</subject><subject>Perturbation methods</subject><issn>0020-7462</issn><issn>1878-5638</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNqNkE1LxDAQhoMouK7-h4rn1kyaJs1Ril-w4EXPoU0mmtIma9oK_nu7rAePngaG532HeQi5BloABXHbF74PMQw-jGgKRkEWAAUFdkI2UMs6r0RZn5INpYzmkgt2Ti6mqadrllO5Ic3rB2YWXUxjO_sYsuiyNnOYUnTD4m1mU9xnS7CY1v0S_IHMxvY94OxN5jwO9pKcuXaY8Op3bsnbw_1r85TvXh6fm7tdbkqu5lzWneoo5x1U0BmBYI2iVvKWV7w1SjJXClYJhbUQLZZSdQYcs6BkiZyXqtySm2PvPsXPBadZ93FJYT2pGeUAKyPYSqkjZVKcpoRO75Mf2_StgeqDM93rP870wZkG0KuzNdscs7i-8eUx6cl4DAatT2hmbaP_R8sPeMF6Qg</recordid><startdate>201803</startdate><enddate>201803</enddate><creator>Filali, Youness</creator><creator>Er-Riani, Mustapha</creator><creator>El Jarroudi, Mustapha</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201803</creationdate><title>The deformation of a ferrofluid drop under a uniform magnetic field</title><author>Filali, Youness ; Er-Riani, Mustapha ; El Jarroudi, Mustapha</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-78b9b044b151bc6e1dc90d74a454ac972f362569e866ae379bc1f2d1973e44393</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Bifurcations</topic><topic>Boundary value problems</topic><topic>Deformation</topic><topic>Drops</topic><topic>Ferrites</topic><topic>Ferrofluids</topic><topic>Hermite–Padé approximation</topic><topic>Magnetic fields</topic><topic>Magnetism</topic><topic>Magnetohydrodynamics</topic><topic>Pade approximation</topic><topic>Perturbation methods</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Filali, Youness</creatorcontrib><creatorcontrib>Er-Riani, Mustapha</creatorcontrib><creatorcontrib>El Jarroudi, Mustapha</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal of non-linear mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Filali, Youness</au><au>Er-Riani, Mustapha</au><au>El Jarroudi, Mustapha</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The deformation of a ferrofluid drop under a uniform magnetic field</atitle><jtitle>International journal of non-linear mechanics</jtitle><date>2018-03</date><risdate>2018</risdate><volume>99</volume><spage>173</spage><epage>181</epage><pages>173-181</pages><issn>0020-7462</issn><eissn>1878-5638</eissn><abstract>This paper investigates axisymmetric shapes of a ferrofluid drop immersed in a uniform magnetic field. Approximate solutions are constructed for the governing nonlinear boundary value problem using the domain perturbation method. Bifurcation and turning points are located by applying a special type of Hermite–Padé approximation.
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subjects | Bifurcations Boundary value problems Deformation Drops Ferrites Ferrofluids Hermite–Padé approximation Magnetic fields Magnetism Magnetohydrodynamics Pade approximation Perturbation methods |
title | The deformation of a ferrofluid drop under a uniform magnetic field |
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