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<p>This mathematical study addresses the exact solutions of nanofluid flow over a porous stretching/shrinking cylinder under the convective boundary condition. The study simplifies the governing partial differential equations (PDEs) into ordinary differential equations (ODEs) using similarity solutions, providing insight into the nanofluid flow characteristics. Several key parameters are considered, including nanoparticle volume fraction, curvature, suction/injection, stretching/shrinking, radiation, heat source/sink parameters, and the Prandtl and Biot numbers. This analysis has significant relevance for biomedical engineering, particularly in applications such as thermal management in biological tissues and enhanced heat transfer in medical devices. The results show that the local skin friction coefficient is higher in the shrinking case than in the stretching case. Additionally, the local Nusselt number is more significantly influenced by the Biot number than by the radiation parameter, and it exhibits a strong dependence on the curvature and Biot number. 3D plots reveal the intricate interplay between radiation, suction/injection, and the Biot number in affecting the local Nusselt number, which is critical for understanding heat transfer in biological systems and medical devices.</p>

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Thermal analysis of \({Al}_{2}{O}_{3}/{H}_{2}O\) nanofluid flow on a porous stretching/shrinking cylinder: implications for biomedical applications under convective boundary conditions

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • Sina Sadighi,
  • Hossein Afshar,
  • Payam Jalili,
  • Irshad Ahmad,
  • Bahram Jalili,
  • Davood Domiri Ganji

摘要

This mathematical study addresses the exact solutions of nanofluid flow over a porous stretching/shrinking cylinder under the convective boundary condition. The study simplifies the governing partial differential equations (PDEs) into ordinary differential equations (ODEs) using similarity solutions, providing insight into the nanofluid flow characteristics. Several key parameters are considered, including nanoparticle volume fraction, curvature, suction/injection, stretching/shrinking, radiation, heat source/sink parameters, and the Prandtl and Biot numbers. This analysis has significant relevance for biomedical engineering, particularly in applications such as thermal management in biological tissues and enhanced heat transfer in medical devices. The results show that the local skin friction coefficient is higher in the shrinking case than in the stretching case. Additionally, the local Nusselt number is more significantly influenced by the Biot number than by the radiation parameter, and it exhibits a strong dependence on the curvature and Biot number. 3D plots reveal the intricate interplay between radiation, suction/injection, and the Biot number in affecting the local Nusselt number, which is critical for understanding heat transfer in biological systems and medical devices.