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

  • Farhad Ali
  • Muhammad Saqib
  • Ilyas KhanEmail author
  • Nadeem Ahmad Sheikh
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 194)


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.


Fractional calculus Atangana–Baleanu fractional derivative Heat transfer model 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Farhad Ali
    • 1
    • 2
    • 3
  • Muhammad Saqib
    • 1
    • 2
    • 3
  • Ilyas Khan
    • 2
    Email author
  • Nadeem Ahmad Sheikh
    • 1
    • 2
    • 3
  1. 1.Computational Analysis Research GroupTon Duc Thang UniversityHo Chi Minh CityVietnam
  2. 2.Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam
  3. 3.Department of MathematicsCity University of Science and Information TechnologyPeshawarPakistan

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