Study of Nonlinear MHD Tribological Squeeze Film at Generalized Magnetic Reynolds Numbers Using DTM
Identifieur interne : 003B52 ( Ncbi/Checkpoint ); précédent : 003B51; suivant : 003B53Study of Nonlinear MHD Tribological Squeeze Film at Generalized Magnetic Reynolds Numbers Using DTM
Auteurs : Mohammad Mehdi Rashidi [Iran, République populaire de Chine] ; Navid Freidoonimehr [Iran] ; Ebrahim Momoniat [Afrique du Sud] ; Behnam Rostami [Iran]Source :
- PLoS ONE [ 1932-6203 ] ; 2015.
Abstract
In the current article, a combination of the differential transform method (DTM) and Padé approximation method are implemented to solve a system of nonlinear differential equations modelling the flow of a Newtonian magnetic lubricant squeeze film with magnetic induction effects incorporated. Solutions for the transformed radial and tangential momentum as well as solutions for the radial and tangential induced magnetic field conservation equations are determined. The DTM-Padé combined method is observed to demonstrate excellent convergence, stability and versatility in simulating the magnetic squeeze film problem. The effects of involved parameters, i.e. squeeze Reynolds number (
Url:
DOI: 10.1371/journal.pone.0135004
PubMed: 26267247
PubMed Central: 4534046
Affiliations:
- Afrique du Sud, Iran, République populaire de Chine
- Gauteng
- Johannesburg
- Université du Witwatersrand
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<front><div type="abstract" xml:lang="en"><p>In the current article, a combination of the differential transform method (DTM) and Padé approximation method are implemented to solve a system of nonlinear differential equations modelling the flow of a Newtonian magnetic lubricant squeeze film with magnetic induction effects incorporated. Solutions for the transformed radial and tangential momentum as well as solutions for the radial and tangential induced magnetic field conservation equations are determined. The DTM-Padé combined method is observed to demonstrate excellent convergence, stability and versatility in simulating the magnetic squeeze film problem. The effects of involved parameters, i.e. squeeze Reynolds number (<italic>N</italic>
<sub>1</sub>
), dimensionless axial magnetic force strength parameter (<italic>N</italic>
<sub>2</sub>
), dimensionless tangential magnetic force strength parameter (<italic>N</italic>
<sub>3</sub>
), and magnetic Reynolds number (<italic>Re</italic>
<sub><italic>m</italic>
</sub>
) are illustrated graphically and discussed in detail. Applications of the study include automotive magneto-rheological shock absorbers, novel aircraft landing gear systems and biological prosthetics.</p>
</div>
</front>
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<author><name sortKey="Graves Morris, P R" uniqKey="Graves Morris P">P R Graves-Morris</name>
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<author><name sortKey="Mohimanian, Pour S A" uniqKey="Mohimanian P">Pour S A Mohimanian</name>
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<author><name sortKey="Freidoonimehr, N" uniqKey="Freidoonimehr N">N Freidoonimehr</name>
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<affiliations><list><country><li>Afrique du Sud</li>
<li>Iran</li>
<li>République populaire de Chine</li>
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<region><li>Gauteng</li>
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<settlement><li>Johannesburg</li>
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<orgName><li>Université du Witwatersrand</li>
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<tree><country name="Iran"><noRegion><name sortKey="Rashidi, Mohammad Mehdi" sort="Rashidi, Mohammad Mehdi" uniqKey="Rashidi M" first="Mohammad Mehdi" last="Rashidi">Mohammad Mehdi Rashidi</name>
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<name sortKey="Freidoonimehr, Navid" sort="Freidoonimehr, Navid" uniqKey="Freidoonimehr N" first="Navid" last="Freidoonimehr">Navid Freidoonimehr</name>
<name sortKey="Rostami, Behnam" sort="Rostami, Behnam" uniqKey="Rostami B" first="Behnam" last="Rostami">Behnam Rostami</name>
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<country name="Afrique du Sud"><region name="Gauteng"><name sortKey="Momoniat, Ebrahim" sort="Momoniat, Ebrahim" uniqKey="Momoniat E" first="Ebrahim" last="Momoniat">Ebrahim Momoniat</name>
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