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<p>This paper investigates the effects of various physical parameters on fluid flow and heat transfer within a porous medium, utilizing Python for solution of ordinary differential equations. The study explores the impacts of suction/injection, Grashof number, Prandtl number, Eckert number, permeability, heat source/sink, and magnetic field parameter on key performance indicators, including the temperature and velocity profiles, Nusselt number (Nu), and skin friction coefficient (Cf). The governing equations are non-dimensionalized to facilitate analysis and simplify computations. The Akbari Ganji Method (AGM) and Homotopy Perturbation Method (HPM) are employed in Python, demonstrating their innovative application to engineering problems. Python’s advanced computational capabilities enable efficient solving of these dimensionless equations, yielding detailed insights into the interaction between fluid dynamics and thermal behavior. The results show that increasing the Eckert number improves both the velocity and temperature profiles, while increasing the Grashof number also enhances these profiles. Additionally, improving the permeability parameter results in an improved velocity profile. Moreover, the results indicate that increasing the permeability (K) and decreasing the Eckert number (Ec) lead to an improvement in the Nusselt number. Increasing Ec from 0.5 to 1.5 at y = 0.7 improves the temperature profile by 48.9%. Also, increasing Gr at y = 0.4 improves the velocity profile by 62.3%. The findings have broad applications, particularly in the optimization of thermal system designs in fields such as biomedicine and engineering. For example, the results can inform the design of more efficient cooling systems for medical devices, enhance thermal regulation in biomedicine, and optimize blood flow dynamics.</p>

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Investigating fluid flow and heat transfer in porous media: a python-based approach for medical applications and thermal regulation

  • 期刊论文

  • 发表日期：

    2025年6月15日

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  • Davood Domiri Ganji,
  • Mehdi Mahboobtosi,
  • Fateme Nadalinia Chari

摘要

This paper investigates the effects of various physical parameters on fluid flow and heat transfer within a porous medium, utilizing Python for solution of ordinary differential equations. The study explores the impacts of suction/injection, Grashof number, Prandtl number, Eckert number, permeability, heat source/sink, and magnetic field parameter on key performance indicators, including the temperature and velocity profiles, Nusselt number (Nu), and skin friction coefficient (Cf). The governing equations are non-dimensionalized to facilitate analysis and simplify computations. The Akbari Ganji Method (AGM) and Homotopy Perturbation Method (HPM) are employed in Python, demonstrating their innovative application to engineering problems. Python’s advanced computational capabilities enable efficient solving of these dimensionless equations, yielding detailed insights into the interaction between fluid dynamics and thermal behavior. The results show that increasing the Eckert number improves both the velocity and temperature profiles, while increasing the Grashof number also enhances these profiles. Additionally, improving the permeability parameter results in an improved velocity profile. Moreover, the results indicate that increasing the permeability (K) and decreasing the Eckert number (Ec) lead to an improvement in the Nusselt number. Increasing Ec from 0.5 to 1.5 at y = 0.7 improves the temperature profile by 48.9%. Also, increasing Gr at y = 0.4 improves the velocity profile by 62.3%. The findings have broad applications, particularly in the optimization of thermal system designs in fields such as biomedicine and engineering. For example, the results can inform the design of more efficient cooling systems for medical devices, enhance thermal regulation in biomedicine, and optimize blood flow dynamics.