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<p>Effective thermal management in contemporary engineering and biomedical applications has heightened the focus on nanofluids because of their superior heat transfer performance. Casson nanofluid (CNF) is widely used in such applications for its unique non-Newtonian properties. Analyzing entropy generation is crucial for evaluating energy efficiency, whereas the modified Darcy model provides insights into intricate flow resistance in porous media. Nanoparticle aggregation greatly affects heat transfer predictions, and neglecting it can lead to inaccurate thermal performance estimations. Inspired by this importance, this work aims to scrutinize the novel consequences of nanoparticle aggregation and entropy production in the magnetohydrodynamic (MHD) stagnation point flow of TiO₂-water CNF across a stretching sheet within a Darcy-Forchheimer porous medium. The model incorporates the impacts of viscous dissipation, Joule heating, and heat creation/absorption, in addition to slip velocity and convective boundary conditions. The controlling computational framework is modified by implementing the adequate similarity variables. The solution’s methodology is tackled via MATLAB, utilizing the default bvp4c numerical algorithm. Graphical representations and Tables are used to evaluate the influence of major physical parameters under both aggregation circumstances. The principal findings indicate that the thermal field elevates with an increase in Eckert number, Biot number, magnetic parameter, porosity, and local Forchheimer number. The heat transfer rate diminished in the aggregation model, exhibiting an average reduction of 28.94%, in contrast to 15.18% in the non-aggregation scenario, as the nanoparticle volume fraction escalated from 1% to 5%. Simultaneously, the Nusselt number is enhanced by 8.07% with aggregation and 4.29% without aggregation when the Casson fluid parameter escalated from 0.5 to 1.5. The slip and velocity ratio parameters increase the skin friction, while entropy generation follows the reverse pattern of the Bejan number based on the examined parameters. The aggregation approach is becoming significant due to its ability to enhance velocity and temperature profiles, underscoring its importance in heat transfer research.</p>

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Effect of nanoparticle aggregation on Casson nanofluid flow at a stagnation point with modified Darcy model and entropy generation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月30日

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  • A. G. El-ashhab,
  • M. Abdel Wahab,
  • S. E. E. Hamza,
  • Galal M. Moatimid,
  • Shimaa E. Waheed

摘要

Effective thermal management in contemporary engineering and biomedical applications has heightened the focus on nanofluids because of their superior heat transfer performance. Casson nanofluid (CNF) is widely used in such applications for its unique non-Newtonian properties. Analyzing entropy generation is crucial for evaluating energy efficiency, whereas the modified Darcy model provides insights into intricate flow resistance in porous media. Nanoparticle aggregation greatly affects heat transfer predictions, and neglecting it can lead to inaccurate thermal performance estimations. Inspired by this importance, this work aims to scrutinize the novel consequences of nanoparticle aggregation and entropy production in the magnetohydrodynamic (MHD) stagnation point flow of TiO₂-water CNF across a stretching sheet within a Darcy-Forchheimer porous medium. The model incorporates the impacts of viscous dissipation, Joule heating, and heat creation/absorption, in addition to slip velocity and convective boundary conditions. The controlling computational framework is modified by implementing the adequate similarity variables. The solution’s methodology is tackled via MATLAB, utilizing the default bvp4c numerical algorithm. Graphical representations and Tables are used to evaluate the influence of major physical parameters under both aggregation circumstances. The principal findings indicate that the thermal field elevates with an increase in Eckert number, Biot number, magnetic parameter, porosity, and local Forchheimer number. The heat transfer rate diminished in the aggregation model, exhibiting an average reduction of 28.94%, in contrast to 15.18% in the non-aggregation scenario, as the nanoparticle volume fraction escalated from 1% to 5%. Simultaneously, the Nusselt number is enhanced by 8.07% with aggregation and 4.29% without aggregation when the Casson fluid parameter escalated from 0.5 to 1.5. The slip and velocity ratio parameters increase the skin friction, while entropy generation follows the reverse pattern of the Bejan number based on the examined parameters. The aggregation approach is becoming significant due to its ability to enhance velocity and temperature profiles, underscoring its importance in heat transfer research.