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Friction Factor and Heat Transfer of Giesekus-Fluid-Based Nanofluids in a Pipe Flow

Author

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  • Wenqian Lin

    (School of Media and Design, Hangzhou Dianzi University, Hangzhou 310018, China)

  • Hailin Yang

    (State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China)

  • Jianzhong Lin

    (State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China
    Laboratory of Impact and Safety Engineering (Ningbo University), Ministry of Education, Ningbo 315201, China)

Abstract

The friction factor and heat transfer of Giesekus-fluid-based nanofluids in a pipe flow were studied in the ranges of 0.5 ≤ Reynolds number (Re) ≤ 500, 1 ≤ Weissenberg number (Wi) ≤ 8, 0.5% ≤ particle volume concentration ( Φ ) ≤ 3.0%, 0 ≤ viscosity ratio ( β 0 ) ≤ 1, and 0 ≤ mobility parameter ( α ) ≤ 0.5. Our numerical method was validated by comparing the results with available ones in the literature. The effects of Wi, Φ , β 0 , Re, and α on the relative friction factor ( C f / C f New ), Nusselt number (Nu), and ratio (PEC nf /PEC f ) of energy performance evaluation criterion for Giesekus-fluid-based nanofluids to those for Giesekus fluid were discussed. The results showed that the values for the C f / C f New and Nu of Giesekus-fluid-based nanofluids were larger than those for Newtonian fluid-based nanofluids and those for pure Giesekus fluid. The values for C f / C f New increased with increasing Φ and Re, but they increased with decreasing β 0 and α . As Wi increased, the values of C f / C f New first increased and then decreased. The values of Nu and PEC nf /PEC f were enhanced with increasing Wi, Φ , Re, and α , but with decreasing β 0 . It is more effective to use Giesekus-fluid-based nanofluids to improve heat transfer with the conditions of a larger Wi, Φ , Re, and α and a smaller β 0 . Finally, the correlation formula for PEC nf /PEC f as a function of Wi, Φ , β 0 , Re, and α was derived.

Suggested Citation

  • Wenqian Lin & Hailin Yang & Jianzhong Lin, 2022. "Friction Factor and Heat Transfer of Giesekus-Fluid-Based Nanofluids in a Pipe Flow," Energies, MDPI, vol. 15(9), pages 1-16, April.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:9:p:3234-:d:804595
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    References listed on IDEAS

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    1. Xin Chang & Jun Zhou & Yintong Guo & Shiming He & Lei Wang & Yulin Chen & Ming Tang & Rui Jian, 2018. "Heat Transfer Behaviors in Horizontal Wells Considering the Effects of Drill Pipe Rotation, and Hydraulic and Mechanical Frictions during Drilling Procedures," Energies, MDPI, vol. 11(9), pages 1-28, September.
    2. M. Sulaiman & Aamir Ali & S. Islam, 2018. "Heat and Mass Transfer in Three-Dimensional Flow of an Oldroyd-B Nanofluid with Gyrotactic Micro-Organisms," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-15, September.
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