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Fractional Derivatives with Mittag-Leffler Kernel pp 217–233Cite as

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

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 194))

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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Authors and Affiliations

  1. Computational Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Farhad Ali, Muhammad Saqib & Nadeem Ahmad Sheikh

  2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Farhad Ali, Muhammad Saqib, Ilyas Khan & Nadeem Ahmad Sheikh

  3. Department of Mathematics, City University of Science and Information Technology, Peshawar, 25000, Pakistan

    Farhad Ali, Muhammad Saqib & Nadeem Ahmad Sheikh

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  1. Farhad Ali
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  2. Muhammad Saqib
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  3. Ilyas Khan
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  4. Nadeem Ahmad Sheikh
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Correspondence to Ilyas Khan .

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Editors and Affiliations

  1. CONACYT-Tecnológico Nacional de México, Centro Nacional de Investigación y Desarrollo Tecnológico, Cuernavaca, Morelos, Mexico

    José Francisco Gómez

  2. CONACYT-Instituto de Ingeniería, Universidad Nacional Autónoma de México, Mexico City, Mexico

    Lizeth Torres

  3. Tecnológico Nacional de México, Centro Nacional de Investigación y Desarrollo Tecnológico, Cuernavaca, Morelos, Mexico

    Ricardo Fabricio Escobar

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Ali, F., Saqib, M., Khan, I., Ahmad Sheikh, N. (2019). Heat Transfer Analysis in Ethylene Glycol Based Molybdenum Disulfide Generalized Nanofluid via Atangana–Baleanu Fractional Derivative Approach. In: Gómez, J., Torres, L., Escobar, R. (eds) Fractional Derivatives with Mittag-Leffler Kernel. Studies in Systems, Decision and Control, vol 194. Springer, Cham. https://doi.org/10.1007/978-3-030-11662-0_13

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

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