Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates

Document Type: Research Paper

Authors

1 Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan

2 Department of Mathematics, Lahore Leads University, Lahore Pakistan

3 Department of Mathematics, Islamia College University Peshawar Khyber Pakhtunkhwa 25000, Pakistan

4 Experimental Surgery Lab, Department of Surgery, Ghent University, De Pintelaan 185, 9000 Ghent, Belgium

5 Biofluid, Tissue and Solid Mechanics for Medical Applications Lab (IBiTech, bioMMeda), Ghent University, Gent, Belgium

Abstract

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.

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Main Subjects

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