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<p>The applications of thermal transport through highly viscous fluids are observed in chemical and industrial engineering. With the inspiration of existing non-Newtonian fluids in chemical industries, the objective of the present study is to regulate the fluid temperature and improve the convective heat transfer in Carreau fluid by choosing a suitable power-law index and magnetic field. In this paper, two separate models of equations are presented based on the fluid phase and particle phase by using the Carreau fluid tensor. The dimensional equations are transformed into dimensionless form by applying the right transformation and the closed-form solution is generated through Mathematica 14.2. The computational results showed that the power-law index diminished the velocity and temperature fields. Moreover, the velocity and temperature of the pseudoplastic fluid are greater than those of the dilatant fluid. Further, the two-phase fluid model gives a higher heat transfer rate than the single-phase fluid model. It is observed that the dilatant fluid is the best option for the suspension of two-phase flow. The current computational results are expected to extend our understanding of two-phase flows of Carreau fluid and help to design innovative microfluidic devices with boosted performance for various industrial applications. Furthermore, this research will also be helpful for beginners to understand the basic idea of multiphase flow in non-Newtonian fluids.</p>

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The potential impact of magnetic force on the heat transfer analysis in the pressure-driven flow of the Carreau fluid: fluid–particle suspension flow of a non-Newtonian fluid

  • 期刊论文

  • 发表日期：

    2025年10月30日

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  • Mubbashar Nazeer,
  • Farooq Hussain

摘要

The applications of thermal transport through highly viscous fluids are observed in chemical and industrial engineering. With the inspiration of existing non-Newtonian fluids in chemical industries, the objective of the present study is to regulate the fluid temperature and improve the convective heat transfer in Carreau fluid by choosing a suitable power-law index and magnetic field. In this paper, two separate models of equations are presented based on the fluid phase and particle phase by using the Carreau fluid tensor. The dimensional equations are transformed into dimensionless form by applying the right transformation and the closed-form solution is generated through Mathematica 14.2. The computational results showed that the power-law index diminished the velocity and temperature fields. Moreover, the velocity and temperature of the pseudoplastic fluid are greater than those of the dilatant fluid. Further, the two-phase fluid model gives a higher heat transfer rate than the single-phase fluid model. It is observed that the dilatant fluid is the best option for the suspension of two-phase flow. The current computational results are expected to extend our understanding of two-phase flows of Carreau fluid and help to design innovative microfluidic devices with boosted performance for various industrial applications. Furthermore, this research will also be helpful for beginners to understand the basic idea of multiphase flow in non-Newtonian fluids.