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Heat transfer analysis in sodium alginate based nanofluid using MoS2 nanoparticles: Atangana–Baleanu fractional model

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  • Tassaddiq, Asifa
  • Khan, I.
  • Nisar, K.S.

Abstract

In this work, a new idea of Atangana-Baleanu fractional derivative has been applied to study heat transfer due to free convection in non-Newtonian nanofluids over an infinite vertical plate. Sodium alginate (SA-NaAlg) has been taken as non-Newtonian base fluid and a suspension of molybdenum disulphide (MoS2) nanoparticles has been used in it. Brinkman and Maxwell–Garnetts (MG) representations have been applied to observe the strength of two important properties namely; viscosity and thermal conductivity. The problem is modeled in the form of partial differential equations with imposed conditions. The plate transfers a cosine type oscillations to the fluid with a constant temperature. Expressions for velocity and temperature fields have been obtained explicitly by making use of the Laplace transform technique. Zakian's explicit formula has been used to testify the results by inversion of Laplace transform. All the involved parameters for velocity and temperature profiles have been analyzed because of their graphical representations. Results of Nusselt number have been computed in tabular form. The results showed that a rise in nanoparticle volume fraction leads to heat transfer enrichment.

Suggested Citation

  • Tassaddiq, Asifa & Khan, I. & Nisar, K.S., 2020. "Heat transfer analysis in sodium alginate based nanofluid using MoS2 nanoparticles: Atangana–Baleanu fractional model," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303911
    DOI: 10.1016/j.chaos.2019.109445
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    References listed on IDEAS

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    1. Sarkar, Jahar, 2011. "A critical review on convective heat transfer correlations of nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(6), pages 3271-3277, August.
    2. Atangana, Abdon & Koca, Ilknur, 2016. "Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 447-454.
    3. Tassaddiq, Asifa, 2019. "MHD flow of a fractional second grade fluid over an inclined heated plate," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 341-346.
    4. Daungthongsuk, Weerapun & Wongwises, Somchai, 2007. "A critical review of convective heat transfer of nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 11(5), pages 797-817, June.
    5. Abdon Atangana & P. D. Vermeulen, 2014. "Analytical Solutions of a Space-Time Fractional Derivative of Groundwater Flow Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, January.
    6. Atangana, Abdon, 2018. "Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 688-706.
    7. Khanafer, Khalil & Vafai, Kambiz, 2018. "A review on the applications of nanofluids in solar energy field," Renewable Energy, Elsevier, vol. 123(C), pages 398-406.
    8. Saad, Khaled M. & Gómez-Aguilar, J.F., 2018. "Analysis of reaction–diffusion system via a new fractional derivative with non-singular kernel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 703-716.
    9. M M Rashidi & Z Yang & Muhammad Awais & Maria Nawaz & Tasawar Hayat, 2017. "Generalized Magnetic Field Effects in Burgers' Nanofluid Model," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-19, January.
    10. Sheikh, Nadeem Ahmad & Ali, Farhad & Khan, Ilyas & Gohar, Madeha, 2018. "A theoretical study on the performance of a solar collector using CeO2 and Al2O3 water based nanofluids with inclined plate: Atangana–Baleanu fractional model," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 135-142.
    11. Godson, Lazarus & Raja, B. & Mohan Lal, D. & Wongwises, S., 2010. "Enhancement of heat transfer using nanofluids--An overview," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(2), pages 629-641, February.
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    4. Ravichandran, C. & Logeswari, K. & Panda, Sumati Kumari & Nisar, Kottakkaran Sooppy, 2020. "On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    5. Nisar, Kottakkaran Sooppy & Logeswari, K. & Ravichandran, C. & Sabarinathan, S., 2023. "New frame of fractional neutral ABC-derivative with IBC and mixed delay," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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