Preprint Article Version 1 This version is not peer-reviewed

Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate

Version 1 : Received: 5 April 2020 / Approved: 7 April 2020 / Online: 7 April 2020 (11:04:32 CEST)

A peer-reviewed article of this Preprint also exists.

Saqib, M.; Kasim, A.R.M.; Mohammad, N.F.; Ching, D.L.C.; Shafie, S. Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate. Symmetry 2020, 12, 768. Saqib, M.; Kasim, A.R.M.; Mohammad, N.F.; Ching, D.L.C.; Shafie, S. Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate. Symmetry 2020, 12, 768.

Journal reference: Symmetry 2020, 12, 768
DOI: 10.3390/sym12050768

Abstract

Nanofluids are a novel class of heat transfer fluid that plays a vital role in industries. In mathematical investigations, these fluids are modeled in terms of traditional integer-order partial differential equations (PDEs). It is recognized that traditional PDEs cannot decode the complex behavior of physical flow parameters and memory effects. Therefore, this article intends to study the mixed convection heat transfer in nanofluid over an inclined vertical plate via fractional derivatives approach. The problem in hand is modeled in connection with Atangana-Baleanu fractional derivatives without singular and local kernel having strong memory. The human blood is considered as base fluid dispersing carbon nanotube (CNTs) (single-wall carbon nanotubes (SWCNTs) and multi-wall carbon nanotubes(MWCNTs )) into it to form blood-CNTs nanofluid. The nanofluids are considered to flow in a saturated porous medium under the influence of an applied magnetic field. The exact analytical expressions for velocity and temperature profiles are acquired using the Laplace transform technique and plotted in various graphs. The empirical results indicate that the memory effect decreases with increasing fractional parameters in the case of both temperature and velocity profiles. Moreover, the temperature profile is higher for blood-SWCNTs by reason of higher thermal conductivity whereas, this trend is opposite in case of velocity profile due densities difference.

Subject Areas

Enhance heat transfer; Nanofluids; CNTs; Fractional derivatives; Laplace transform

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