Fractional-order three-dimensional thin-film nanofluid flow on an inclined rotating disk

. The aim of the present study is to examine the fractional-order three-dimensional thin-film nanofluid flow over an inclined rotating plane. The basic governing equations are transformed through similarity variables into a set of first-order differential equations. The Caputo derivatives have been...

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Vydáno v:	European physical journal plus Ročník 133; číslo 12; s. 500
Hlavní autoři:	Gul, Taza, Altaf Khan, Muhammad, Khan, Amer, Shuaib, Muhammad
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2018 Springer Nature B.V
Témata:	Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Differential equations Fluid flow Fractional calculus Mathematical and Computational Physics Molecular Nanofluids Optical and Plasma Physics Ordinary differential equations Parameters Physics Physics and Astronomy Prandtl number Predictor-corrector methods Regular Article Rotating disks Schmidt number Theoretical Thin films Three dimensional flow Variable thickness
ISSN:	2190-5444, 2190-5444
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Abstract	. The aim of the present study is to examine the fractional-order three-dimensional thin-film nanofluid flow over an inclined rotating plane. The basic governing equations are transformed through similarity variables into a set of first-order differential equations. The Caputo derivatives have been used to transform the first-order differential equations into a system of fractional differential equations. The Adams-type predictor-corrector method for the numerical solution of the fractional-differential-equations method has been used for the solution of the fractional-order differential. The classical solution of the problem has been obtained through the RK4 method. The comparison of the classical- and fractional-order results has been made for the various embedded parameters like variable thickness, unsteadiness parameter, Prandtl number, Schmidt number, Brownian-motion parameter and thermophoretic parameter. The important terms of the Nusselt number and Sherwood number have also been analysed physically and numerically for both classical and fractional order.
AbstractList	. The aim of the present study is to examine the fractional-order three-dimensional thin-film nanofluid flow over an inclined rotating plane. The basic governing equations are transformed through similarity variables into a set of first-order differential equations. The Caputo derivatives have been used to transform the first-order differential equations into a system of fractional differential equations. The Adams-type predictor-corrector method for the numerical solution of the fractional-differential-equations method has been used for the solution of the fractional-order differential. The classical solution of the problem has been obtained through the RK4 method. The comparison of the classical- and fractional-order results has been made for the various embedded parameters like variable thickness, unsteadiness parameter, Prandtl number, Schmidt number, Brownian-motion parameter and thermophoretic parameter. The important terms of the Nusselt number and Sherwood number have also been analysed physically and numerically for both classical and fractional order. The aim of the present study is to examine the fractional-order three-dimensional thin-film nanofluid flow over an inclined rotating plane. The basic governing equations are transformed through similarity variables into a set of first-order differential equations. The Caputo derivatives have been used to transform the first-order differential equations into a system of fractional differential equations. The Adams-type predictor-corrector method for the numerical solution of the fractional-differential-equations method has been used for the solution of the fractional-order differential. The classical solution of the problem has been obtained through the RK4 method. The comparison of the classical- and fractional-order results has been made for the various embedded parameters like variable thickness, unsteadiness parameter, Prandtl number, Schmidt number, Brownian-motion parameter and thermophoretic parameter. The important terms of the Nusselt number and Sherwood number have also been analysed physically and numerically for both classical and fractional order.
ArticleNumber	500
Author	Gul, Taza Altaf Khan, Muhammad Shuaib, Muhammad Khan, Amer
Author_xml	– sequence: 1 givenname: Taza surname: Gul fullname: Gul, Taza organization: Department of Mathematics, City University of Science and Information Technology – sequence: 2 givenname: Muhammad surname: Altaf Khan fullname: Altaf Khan, Muhammad email: altafdir@gmail.com organization: Department of Mathematics, City University of Science and Information Technology – sequence: 3 givenname: Amer surname: Khan fullname: Khan, Amer organization: Department of Mathematics, City University of Science and Information Technology – sequence: 4 givenname: Muhammad surname: Shuaib fullname: Shuaib, Muhammad organization: Department of Mathematics, City University of Science and Information Technology
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Cites_doi	10.1016/j.molliq.2015.07.006 10.1038/35000537 10.1186/s13662-016-0871-x 10.1029/2000WR900032 10.1088/0305-4470/37/31/R01 10.1029/2000WR900031 10.1142/9789812817747 10.1016/S0370-1573(00)00070-3 10.1115/1.4008150 10.1029/1999WR900299 10.1140/epjp/i2017-11740-1 10.1016/j.amc.2015.10.021 10.2298/TSCI160111018A 10.1016/j.molliq.2016.03.078 10.1023/A:1016592219341 10.1115/1.3450624 10.1103/PhysRevLett.58.1100 10.1007/s13204-018-0851-4 10.1140/epjp/i2018-12021-3 10.1016/j.chaos.2016.02.012 10.1016/j.ijthermalsci.2014.08.009 10.1016/j.physa.2018.03.056 10.1063/1.1416180 10.1016/j.ijheatmasstransfer.2011.12.013 10.1177/1687814017740266 10.1140/epjp/i2018-12120-1 10.1007/BF01535269 10.1016/S0169-5983(98)80011-7 10.1016/S0378-4371(02)01048-8 10.1016/j.molliq.2018.01.006 10.1063/1.1535007 10.1103/PhysRevE.48.1683 10.1016/j.rinp.2017.09.002
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Snippet	. The aim of the present study is to examine the fractional-order three-dimensional thin-film nanofluid flow over an inclined rotating plane. The basic... The aim of the present study is to examine the fractional-order three-dimensional thin-film nanofluid flow over an inclined rotating plane. The basic governing...
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SubjectTerms	Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Differential equations Fluid flow Fractional calculus Mathematical and Computational Physics Molecular Nanofluids Optical and Plasma Physics Ordinary differential equations Parameters Physics Physics and Astronomy Prandtl number Predictor-corrector methods Regular Article Rotating disks Schmidt number Theoretical Thin films Three dimensional flow Variable thickness
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Title	Fractional-order three-dimensional thin-film nanofluid flow on an inclined rotating disk
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