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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
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    References listed on IDEAS

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    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.
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    1. 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.
    2. 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.
    3. 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.
    4. 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.

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