Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates

Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed. The fluid temperature is described by a time-fractional differential equation with Caputo derivatives. Cl...

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Bibliographic Details
Published inJournal of applied and computational mechanics Vol. 5; no. 4; pp. 592 - 602
Main Authors Najma Ahmed, Nehad Ali Shah, Bakhtiar Ahmad, Syed Inayat Shah, Sam Ulhaq, Mohamad Rahimi -Gorji
Format Journal Article
LanguageEnglish
Published Shahid Chamran University of Ahvaz 01.06.2019
Subjects
Caputo fractional derivative
Convection flows
Laplace transform
Nanofluids
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Summary:Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed. The fluid temperature is described by a time-fractional differential equation with Caputo derivatives. Closed form of the temperature field is obtained by using the Laplace transform and fractional derivatives of the Wright’s functions. A semi-analytical solution for the velocity field is obtained by using the Laplace transform coupled with the numerical algorithms for the inverse Laplace transform elaborated by Stehfest and Tzou. Effects of the derivative fractional order and physical parameters on the nanofluid flow and heat transfer are graphically investigated.
ISSN:2383-4536
2383-4536
DOI:10.22055/jacm.2018.26947.1364