IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i20p2563-d655222.html
   My bibliography  Save this article

Entropy Optimization of First-Grade Viscoelastic Nanofluid Flow over a Stretching Sheet by Using Classical Keller-Box Scheme

Author

Listed:
  • Mashhour A. Alazwari

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Nidal H. Abu-Hamdeh

    (Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University, Jeddah 21521, Saudi Arabia
    K. A. CARE Energy Research and Innovation Center, Department of Mechanical Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21521, Saudi Arabia)

  • Marjan Goodarzi

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80259, Jeddah 21589, Saudi Arabia
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

Abstract

Nanofluids have better surface stability, thermal absorption, and distribution capacities are produced as heat transfer fluids. In current nanofluid-transport studies, together with the heat transfer mechanisms, entropy reduction in thermo- and non-Newtonian nanofluid models with changing thermophysical characteristics is heavily addressed. The entropy production is examined as thermodynamically stable first-grade viscoelastic nanofluid (FGVNF) flow over a flat penetrable, porous barrier. The uniform porous horizontal stretching of the surface in a Darcy type of pore media results in a fluid motion disturbance. In addition, this study also includes the effects of thermal radiation, viscous dissipation, and slip conditions at the border. Under boundary layer flow and Rosseland approximations, the governing mathematical equations defining the physical features of the FGVNF flow and heat transfer models are summarized. The governing nonlinear partial differential equation is transformed by similarity variables to achieve solutions in nonlinear ordinary differential equations. Approximative solutions for reduced ordinary differential equations are obtained by the Keller Box Scheme. Two distinct types of nanofluids, Copper-Engine Oil (Cu-EO) and Zirconium Dioxide-Engine Oil (ZrO 2 -EO), are considered in this research. The graphs are produced to examine the effects of the different physical factors for the speed, temperature, and entropy distributions. The significant findings of this study are that the critical characteristics of (boundary layer) BL collectively promote temperature variation, including slip speed, diverse thermal conductivity, and non-Newtonian first-grade viscoelastic nanofluid, the concentration of nanoparticles as well as thermal radiation, and a high porous media. The other noteworthy observation of this study demonstrates that the (Cu-EO) FGVNF is a better conductor than (ZrO 2 -EO) FGVNF transmission. The entropy of the system grows the Deborah number and volume fraction parameter.

Suggested Citation

  • Mashhour A. Alazwari & Nidal H. Abu-Hamdeh & Marjan Goodarzi, 2021. "Entropy Optimization of First-Grade Viscoelastic Nanofluid Flow over a Stretching Sheet by Using Classical Keller-Box Scheme," Mathematics, MDPI, vol. 9(20), pages 1-22, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2563-:d:655222
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/20/2563/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/20/2563/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tian, Zhe & Arasteh, Hossein & Parsian, Amir & Karimipour, Arash & Safaei, Mohammad Reza & Nguyen, Truong Khang, 2019. "Estimate the shear rate & apparent viscosity of multi-phased non-Newtonian hybrid nanofluids via new developed Support Vector Machine method coupled with sensitivity analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    2. Dalir, Nemat & Dehsara, Mohammad & Nourazar, S. Salman, 2015. "Entropy analysis for magnetohydrodynamic flow and heat transfer of a Jeffrey nanofluid over a stretching sheet," Energy, Elsevier, vol. 79(C), pages 351-362.
    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. Yasir Nawaz & Muhammad Shoaib Arif & Kamaleldin Abodayeh & Mairaj Bibi, 2022. "Finite Element Method for Non-Newtonian Radiative Maxwell Nanofluid Flow under the Influence of Heat and Mass Transfer," Energies, MDPI, vol. 15(13), pages 1-22, June.
    2. Fatimah S Bayones & Wasim Jamshed & SH Elhag & Mohamed Rabea Eid, 2023. "Computational Galerkin Finite Element Method for Thermal Hydrogen Energy Utilization of First Grade Viscoelastic Hybrid Nanofluid Flowing Inside PTSC in Solar Powered Ship Applications," Energy & Environment, , vol. 34(4), pages 1031-1059, June.
    3. Bommana Lavanya & Jorige Girish Kumar & Macherla Jayachandra Babu & Chakravarthula Sivakrishnam Raju & Nehad Ali Shah & Prem Junsawang, 2022. "Irreversibility Analysis in the Ethylene Glycol Based Hybrid Nanofluid Flow amongst Expanding/Contracting Walls When Quadratic Thermal Radiation and Arrhenius Activation Energy Are Significant," Mathematics, MDPI, vol. 10(16), pages 1-22, August.
    4. Umair Khan & Iskandar Waini & Aurang Zaib & Anuar Ishak & Ioan Pop, 2022. "MHD Mixed Convection Hybrid Nanofluids Flow over a Permeable Moving Inclined Flat Plate in the Presence of Thermophoretic and Radiative Heat Flux Effects," Mathematics, MDPI, vol. 10(7), pages 1-21, April.

    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. Ali, Farhad & Murtaza, Saqib & Sheikh, Nadeem Ahmad & Khan, Ilyas, 2019. "Heat transfer analysis of generalized Jeffery nanofluid in a rotating frame: Atangana–Balaenu and Caputo–Fabrizio fractional models," Chaos, Solitons & Fractals, Elsevier, vol. 129(C), pages 1-15.
    2. Sahoo, A. & Nandkeolyar, R., 2021. "Entropy generation in convective radiative flow of a Casson nanofluid in non-Darcy porous medium with Hall current and activation energy: The multiple regression model," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    3. Zhang, Kaiyu & Wang, Yibai & Tang, Haibin & Li, Yong & Wang, Baojun & York, Thomas M. & Yang, Lijun, 2020. "Two-dimensional analytical investigation into energy conversion and efficiency maximization of magnetohydrodynamic swirling flow actuators," Energy, Elsevier, vol. 209(C).
    4. Kumar, A. & Tripathi, R. & Singh, R. & Chaurasiya, V.K., 2020. "Simultaneous effects of nonlinear thermal radiation and Joule heating on the flow of Williamson nanofluid with entropy generation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).

    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:gam:jmathe:v:9:y:2021:i:20:p:2563-:d:655222. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.