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<p>To investigate the effects of fractional order (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:\alpha\:\)</EquationSource> </InlineEquation>), nanoparticle volume fraction (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:\varphi\:\)</EquationSource> </InlineEquation>), magnetic field strength (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\:M\)</EquationSource> </InlineEquation>), and Brinkman permeability (<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\:Br\)</EquationSource> </InlineEquation>) on both flow and heat transfer characteristics, a detailed parametric and statistical analysis is conducted. The statistical regression analysis shows that the volume fraction of nanoparticles and temperature have a strong positive correlation (coefficient = 0.94, <i>p</i> = 0.021) indicating that Mo<sub>2</sub>C MXene is an excellent heat absorption. On the other hand, the fractional parameter α has a strong negative effect on temperature field (coefficient = − 0.086, <i>p</i> &lt; 0.001), which emphasizes its importance in describing the effects of thermal memory. The findings also indicate that, although MXene nanoparticles significantly increase thermal transport, an augmentation in magnetic field strength and Brinkman resistance cause a resistive Lorentz force and frictional drag, respectively, to prevent fluid flow. These results are physically informative about non-Fourier heat transfer in MXene-based nanofluids as well as offer invaluable information to developing high-performance thermal management systems and solar-energy applications.</p>

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Regression and statistical analysis of heat transfer enhancement in water/ethylene glycol (40/60) base molybdenum carbide (Mo2C) MXene nanofluid using a transient fractional model

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月16日

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  • Nadeem Ahmad Sheikh,
  • Zulkhibri Bin Ismail,
  • Ilyas Khan,
  • Ghada R. Elnaggar,
  • S. W. Teklu

摘要

To investigate the effects of fractional order ( \(\:\alpha\:\) ), nanoparticle volume fraction ( \(\:\varphi\:\) ), magnetic field strength ( \(\:M\) ), and Brinkman permeability ( \(\:Br\) ) on both flow and heat transfer characteristics, a detailed parametric and statistical analysis is conducted. The statistical regression analysis shows that the volume fraction of nanoparticles and temperature have a strong positive correlation (coefficient = 0.94, p = 0.021) indicating that Mo2C MXene is an excellent heat absorption. On the other hand, the fractional parameter α has a strong negative effect on temperature field (coefficient = − 0.086, p < 0.001), which emphasizes its importance in describing the effects of thermal memory. The findings also indicate that, although MXene nanoparticles significantly increase thermal transport, an augmentation in magnetic field strength and Brinkman resistance cause a resistive Lorentz force and frictional drag, respectively, to prevent fluid flow. These results are physically informative about non-Fourier heat transfer in MXene-based nanofluids as well as offer invaluable information to developing high-performance thermal management systems and solar-energy applications.