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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Squeeze Film at Generalized Magnetic Reynolds Numbers Using DTM</title><author><name sortKey="Rashidi, Mohammad Mehdi" sort="Rashidi, Mohammad Mehdi" uniqKey="Rashidi M" first="Mohammad Mehdi" last="Rashidi">Mohammad Mehdi Rashidi</name><affiliation wicri:level="1"><nlm:aff id="aff001"><addr-line>Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran</addr-line></nlm:aff><country xml:lang="fr">Iran</country><wicri:regionArea>Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan</wicri:regionArea><wicri:noRegion>Hamedan</wicri:noRegion></affiliation><affiliation wicri:level="1"><nlm:aff id="aff002"><addr-line>University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai, Peoples Republic of China</addr-line></nlm:aff><country xml:lang="fr">République populaire de Chine</country><wicri:regionArea>University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai</wicri:regionArea><wicri:noRegion>Shanghai</wicri:noRegion></affiliation></author><author><name sortKey="Freidoonimehr, Navid" sort="Freidoonimehr, Navid" uniqKey="Freidoonimehr N" first="Navid" last="Freidoonimehr">Navid Freidoonimehr</name><affiliation wicri:level="1"><nlm:aff id="aff003"><addr-line>Young Researchers & Elite Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran</addr-line></nlm:aff><country xml:lang="fr">Iran</country><wicri:regionArea>Young Researchers & Elite Club, Hamedan Branch, Islamic Azad University, Hamedan</wicri:regionArea><wicri:noRegion>Hamedan</wicri:noRegion></affiliation></author><author><name sortKey="Momoniat, Ebrahim" sort="Momoniat, Ebrahim" uniqKey="Momoniat E" first="Ebrahim" last="Momoniat">Ebrahim Momoniat</name><affiliation wicri:level="4"><nlm:aff id="aff004"><addr-line>DST/NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa</addr-line></nlm:aff><country xml:lang="fr">Afrique du Sud</country><wicri:regionArea>DST/NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050</wicri:regionArea><orgName type="university">Université du Witwatersrand</orgName><placeName><settlement type="city">Johannesburg</settlement><region type="region" nuts="2">Gauteng</region></placeName></affiliation></author><author><name sortKey="Rostami, Behnam" sort="Rostami, Behnam" uniqKey="Rostami B" first="Behnam" last="Rostami">Behnam Rostami</name><affiliation wicri:level="1"><nlm:aff id="aff003"><addr-line>Young Researchers & Elite Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran</addr-line></nlm:aff><country xml:lang="fr">Iran</country><wicri:regionArea>Young Researchers & Elite Club, Hamedan Branch, Islamic Azad University, Hamedan</wicri:regionArea><wicri:noRegion>Hamedan</wicri:noRegion></affiliation></author></analytic><series><title level="j">PLoS ONE</title><idno type="eISSN">1932-6203</idno><imprint><date when="2015">2015</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><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><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Davidson, P A" uniqKey="Davidson P">P A Davidson</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Rashidi, M M" uniqKey="Rashidi M">M M Rashidi</name></author><author><name sortKey="Rostami, B" uniqKey="Rostami B">B Rostami</name></author><author><name sortKey="Freidoonimehr, N" uniqKey="Freidoonimehr N">N Freidoonimehr</name></author><author><name sortKey="Abbasbandy, S" uniqKey="Abbasbandy S">S Abbasbandy</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Khan, A" uniqKey="Khan A">A Khan</name></author><author><name sortKey="Khan, I" uniqKey="Khan I">I Khan</name></author><author><name sortKey="Ali, F" uniqKey="Ali F">F Ali</name></author><author><name sortKey="Ulhaq, S" uniqKey="Ulhaq S">S ulhaq</name></author><author><name sortKey="Shafie, S" uniqKey="Shafie S">S Shafie</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Hussanan, A" uniqKey="Hussanan A">A Hussanan</name></author><author><name sortKey="Ismail, Z" uniqKey="Ismail Z">Z Ismail</name></author><author><name sortKey="Khan, I" uniqKey="Khan I">I Khan</name></author><author><name sortKey="Hussein, A" uniqKey="Hussein A">A Hussein</name></author><author><name sortKey="Shafie, S" uniqKey="Shafie S">S Shafie</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Samiulhaq" uniqKey="Samiulhaq">Samiulhaq</name></author><author><name sortKey="Ahmad, S" uniqKey="Ahmad S">S Ahmad</name></author><author><name sortKey="Vieru, D" uniqKey="Vieru D">D Vieru</name></author><author><name sortKey="Khan, I" uniqKey="Khan I">I Khan</name></author><author><name sortKey="Shafie, S" uniqKey="Shafie S">S Shafie</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Khan, A" uniqKey="Khan A">A Khan</name></author><author><name sortKey="Khan, I" uniqKey="Khan I">I Khan</name></author><author><name sortKey="Ali, F" uniqKey="Ali F">F Ali</name></author><author><name sortKey="Shafie, S" uniqKey="Shafie S">S Shafie</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Khalid, A" uniqKey="Khalid A">A Khalid</name></author><author><name sortKey="Khan, I" uniqKey="Khan I">I Khan</name></author><author><name sortKey="Khan, A" uniqKey="Khan A">A Khan</name></author><author><name sortKey="Shafie, S" uniqKey="Shafie S">S Shafie</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Park, E" uniqKey="Park E">E Park</name></author><author><name sortKey="Min, K W" uniqKey="Min K">K-W Min</name></author><author><name sortKey="Lee, S K" uniqKey="Lee S">S-K Lee</name></author><author><name sortKey="Lee, S H" uniqKey="Lee S">S-H Lee</name></author><author><name sortKey="Lee, H J" uniqKey="Lee H">H-J Lee</name></author><author><name sortKey="Moon, S J" uniqKey="Moon S">S-J Moon</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Anderson, C G" uniqKey="Anderson C">C G Anderson</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Chernyakova, Y M" uniqKey="Chernyakova Y">Y M Chernyakova</name></author><author><name sortKey="Pinchuk, L S" uniqKey="Pinchuk L">L S Pinchuk</name></author><author><name sortKey="Lobanovskii, L S" uniqKey="Lobanovskii L">L. 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Elco</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Baker, G A" uniqKey="Baker G">G A Baker</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Baker, G A" uniqKey="Baker G">G A Baker</name></author><author><name sortKey="Graves Morris, P R" uniqKey="Graves Morris P">P R Graves-Morris</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Rashidi, M M" uniqKey="Rashidi M">M M Rashidi</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Rashidi, M M" uniqKey="Rashidi M">M M Rashidi</name></author><author><name sortKey="Mohimanian, Pour S A" uniqKey="Mohimanian P">Pour S A Mohimanian</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Rashidi, M M" uniqKey="Rashidi M">M M Rashidi</name></author><author><name sortKey="Freidoonimehr, N" uniqKey="Freidoonimehr N">N Freidoonimehr</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Hamza, E A" uniqKey="Hamza E">E A Hamza</name></author></analytic></biblStruct></listBibl></div1></back></TEI><affiliations><list><country><li>Afrique du Sud</li><li>Iran</li><li>République populaire de Chine</li></country><region><li>Gauteng</li></region><settlement><li>Johannesburg</li></settlement><orgName><li>Université du Witwatersrand</li></orgName></list><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></noRegion><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></country><country name="République populaire de Chine"><noRegion><name sortKey="Rashidi, Mohammad Mehdi" sort="Rashidi, Mohammad Mehdi" uniqKey="Rashidi M" first="Mohammad Mehdi" last="Rashidi">Mohammad Mehdi Rashidi</name></noRegion></country><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></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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