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Erschienen in:
Reproducing Kernel Method for Fractional Derivative with Non-local and Non-singular Kernel Kapitel lesen Erstes Kapitel lesen

2019 | OriginalPaper | Buchkapitel

Heat Transfer Analysis in Ethylene Glycol Based Molybdenum Disulfide Generalized Nanofluid via Atangana–Baleanu Fractional Derivative Approach

verfasst von : Farhad Ali, Muhammad Saqib, Ilyas Khan, Nadeem Ahmad Sheikh

Erschienen in: Fractional Derivatives with Mittag-Leffler Kernel

Verlag: Springer International Publishing

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Abstract

At the end of 2016, Atangana and Baleanu introduced a new definition for fractional derivatives, namely Atangana–Baleanu fractional derivatives with the non-singular and non-local kernel. The idea of Atangana–Baleanu was used by several authors for various types of fractional problems. However, for heat transfer problem, this idea is rarely used in particular when nanofluid is considered. Based on this motivation, this chapter aims to study the flow of ethylene glycol based Molybdenum disulfide generalized nanofluid (EGMDGN) over an isothermal vertical plate. A fractional model with non-singular and non-local kernel, Atangana–Baleanu fractional derivatives is developed in the form of partial differential equations along with appropriate initial and boundary conditions. Molybdenum disulfide nanoparticles of spherical shape are suspended in Ethylene Glycol (EG) taken as conventional base fluid. The exact solutions are developed for velocity and temperature profiles via the Laplace transform technique. In a limiting sense, the obtained solutions are reduced to fractional Newtonian \((\beta \rightarrow \infty )\), classical Casson fluid \((\alpha \rightarrow 1)\) and classical Newtonian nanofluids. The influence of various pertinent parameters is analyzed in various plots and discussed physically.

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Vorheriges Kapitel Numerical Solutions and Pattern Formation Process in Fractional Diffusion-Like Equations
Nächstes Kapitel Atangana–Baleanu Derivative with Fractional Order Applied to the Gas Dynamics Equations
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Metadaten
Titel
Heat Transfer Analysis in Ethylene Glycol Based Molybdenum Disulfide Generalized Nanofluid via Atangana–Baleanu Fractional Derivative Approach
verfasst von
Farhad Ali
Muhammad Saqib
Ilyas Khan
Nadeem Ahmad Sheikh
Copyright-Jahr
2019
Buch
Fractional Derivatives with Mittag-Leffler Kernel

Print ISBN: 978-3-030-11661-3

Electronic ISBN: 978-3-030-11662-0

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-11662-0_13

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