IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v130y2020ics0960077919303911.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077919303911
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2019.109445?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Puneeth, V. & Manjunatha, S. & Madhukesh, J.K. & Ramesh, G.K., 2021. "Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno’s model aspects," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Asifa Tassaddiq, 2020. "A New Representation of the Generalized Krätzel Function," Mathematics, MDPI, vol. 8(11), pages 1-17, November.
    3. Pudhari Srilatha & Hanaa Abu-Zinadah & Ravikumar Shashikala Varun Kumar & M. D. Alsulami & Rangaswamy Naveen Kumar & Amal Abdulrahman & Ramanahalli Jayadevamurthy Punith Gowda, 2023. "Effect of Nanoparticle Diameter in Maxwell Nanofluid Flow with Thermophoretic Particle Deposition," Mathematics, MDPI, vol. 11(16), pages 1-23, August.
    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Sharma, Anuj Kumar & Tiwari, Arun Kumar & Dixit, Amit Rai, 2016. "Rheological behaviour of nanofluids: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 53(C), pages 779-791.
    3. Taneco-Hernández, M.A. & Morales-Delgado, V.F. & Gómez-Aguilar, J.F., 2019. "Fundamental solutions of the fractional Fresnel equation in the real half-line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 807-827.
    4. Chandrasekar, M. & Suresh, S. & Senthilkumar, T., 2012. "Mechanisms proposed through experimental investigations on thermophysical properties and forced convective heat transfer characteristics of various nanofluids – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(6), pages 3917-3938.
    5. Vanaki, Sh.M. & Ganesan, P. & Mohammed, H.A., 2016. "Numerical study of convective heat transfer of nanofluids: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 54(C), pages 1212-1239.
    6. Huminic, Gabriela & Huminic, Angel, 2012. "Application of nanofluids in heat exchangers: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(8), pages 5625-5638.
    7. Alkahtani, Badr Saad T., 2018. "Numerical analysis of dissipative system with noise model with the Atangana–Baleanu fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 239-248.
    8. Mahian, Omid & Mahmud, Shohel & Heris, Saeed Zeinali, 2012. "Analysis of entropy generation between co-rotating cylinders using nanofluids," Energy, Elsevier, vol. 44(1), pages 438-446.
    9. Gupta, Munish & Singh, Vinay & Kumar, Rajesh & Said, Z., 2017. "A review on thermophysical properties of nanofluids and heat transfer applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 638-670.
    10. 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.
    11. Che Sidik, Nor Azwadi & Aisyah Razali, Siti, 2014. "Lattice Boltzmann method for convective heat transfer of nanofluids – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 38(C), pages 864-875.
    12. Zúñiga-Aguilar, C.J. & Gómez-Aguilar, J.F. & Escobar-Jiménez, R.F. & Romero-Ugalde, H.M., 2019. "A novel method to solve variable-order fractional delay differential equations based in lagrange interpolations," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 266-282.
    13. Solangi, K.H. & Kazi, S.N. & Luhur, M.R. & Badarudin, A. & Amiri, A. & Sadri, Rad & Zubir, M.N.M. & Gharehkhani, Samira & Teng, K.H., 2015. "A comprehensive review of thermo-physical properties and convective heat transfer to nanofluids," Energy, Elsevier, vol. 89(C), pages 1065-1086.
    14. Chen, Zhixiong & Ashkezari, Abbas Zarenezhad & Tlili, Iskander, 2020. "Applying artificial neural network and curve fitting method to predict the viscosity of SAE50/MWCNTs-TiO2 hybrid nanolubricant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    15. Owolabi, Kolade M., 2019. "Mathematical modelling and analysis of love dynamics: A fractional approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 849-865.
    16. Shahrul, I.M. & Mahbubul, I.M. & Khaleduzzaman, S.S. & Saidur, R. & Sabri, M.F.M., 2014. "A comparative review on the specific heat of nanofluids for energy perspective," Renewable and Sustainable Energy Reviews, Elsevier, vol. 38(C), pages 88-98.
    17. Fouad Othman Mallawi & Malik Zaka Ullah, 2021. "Multiple Slip Impact on the Darcy–Forchheimer Hybrid Nano Fluid Flow Due to Quadratic Convection Past an Inclined Plane," Mathematics, MDPI, vol. 9(22), pages 1-14, November.
    18. Ebrahimi, Amin & Rikhtegar, Farhad & Sabaghan, Amin & Roohi, Ehsan, 2016. "Heat transfer and entropy generation in a microchannel with longitudinal vortex generators using nanofluids," Energy, Elsevier, vol. 101(C), pages 190-201.
    19. Hussien, Ahmed A. & Abdullah, Mohd Z. & Al-Nimr, Moh’d A., 2016. "Single-phase heat transfer enhancement in micro/minichannels using nanofluids: Theory and applications," Applied Energy, Elsevier, vol. 164(C), pages 733-755.
    20. Taghizadeh-Tabari, Zohre & Zeinali Heris, Saeed & Moradi, Maryam & Kahani, Mostafa, 2016. "The study on application of TiO2/water nanofluid in plate heat exchanger of milk pasteurization industries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 58(C), pages 1318-1326.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303911. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.