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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Bibliographic Details
Published in:European physical journal plus Vol. 133; no. 12; p. 500
Main Authors: Gul, Taza, Altaf Khan, Muhammad, Khan, Amer, Shuaib, Muhammad
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2018
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary:. 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.
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2018-12315-4