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<p>With growing demand for efficient thermal energy systems, modeling nanofluid flows that account for temperature-dependent viscosity has become pivotal for optimizing heat transfer and minimizing energy losses. The main purpose of this study is to explore the asymptotic and numerical analysis of boundary layer flow of nanofluid with temperature-dependent viscosity. Nanofluid suspension is prepared via adding SWCNT in water. When using an algebraic or exponential relationship to describe viscosity, Pearson number is generated, which is a thermo-dependent coefficient. The numerical and asymptotic values are attained and graphically compared for physical quantities, temperature, and velocity distribution. Additionally, mathematical modeling is completed with singular perturbation for large Prandtl number behavior. These solutions are derived from different approximations for linear inverse and exponential laws. A comparison between the numerical and asymptotic solutions is presented for two distinct cases: with and without the presence of nanoparticles. The findings indicate that SWCNT-nanoparticles in the presence of thermal dependent viscosity had significant impact on heat transport analysis and they depend notably on Prandtl and Pearson numbers.</p>

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Modeling of temperature-dependent nanofluid flow with thermophysical properties: an asymptotic analysis

  • 期刊论文

  • 发表日期：

    2026年7月24日

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  • Masood Khan,
  • Hira Waqar,
  • Mahnoor Sarfraz,
  • Ibrahim Alraddadi

摘要

With growing demand for efficient thermal energy systems, modeling nanofluid flows that account for temperature-dependent viscosity has become pivotal for optimizing heat transfer and minimizing energy losses. The main purpose of this study is to explore the asymptotic and numerical analysis of boundary layer flow of nanofluid with temperature-dependent viscosity. Nanofluid suspension is prepared via adding SWCNT in water. When using an algebraic or exponential relationship to describe viscosity, Pearson number is generated, which is a thermo-dependent coefficient. The numerical and asymptotic values are attained and graphically compared for physical quantities, temperature, and velocity distribution. Additionally, mathematical modeling is completed with singular perturbation for large Prandtl number behavior. These solutions are derived from different approximations for linear inverse and exponential laws. A comparison between the numerical and asymptotic solutions is presented for two distinct cases: with and without the presence of nanoparticles. The findings indicate that SWCNT-nanoparticles in the presence of thermal dependent viscosity had significant impact on heat transport analysis and they depend notably on Prandtl and Pearson numbers.