人工细菌存在下微极血基磁化纳米流体在Darcy-Forchhiemer多孔曲面上流动的熵生成和Cattaneo-Christov热流密度模型

Q1 Mathematics

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-28 DOI:10.1016/j.padiff.2025.101209

Khizar Hayat Khan , Aman Ullah , Saeed Islam , Muhammad Rooman

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引用次数: 0

摘要

本研究探讨了热的产生如何影响含金纳米颗粒在多孔弯曲通道中的血流。流体遵循磁化Powell-Eyring动力学，具有Darcy-Forchheimer电阻、焦耳加热和可变导热系数。传热模型采用卡塔尼-克里斯托夫理论。利用相似变换对控制方程进行简化，并利用同伦分析法对控制方程进行解析求解。结果表明：•随着不稳定性、磁场、孔隙度和纳米颗粒浓度的增加，速度分布呈下降趋势。•当加入更多的磁性纳米颗粒时，温度会升高，从而改善血液的热性能。我们还分析了熵的产生、细菌密度和血流中的营养分布。在临床上，由于肿瘤减少血液循环，这些发现可能有助于优化基于纳米颗粒的热疗治疗。

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Entropy generation and Cattaneo-Christov heat flux model for micropolar blood-based magnetized nanofluid flow in the presence of artificial bacteria over a Darcy-Forchhiemer porous curved surface

This study examines how heat generation affects blood flow containing gold nanoparticles in a porous curved channel. The fluid follows magnetized Powell-Eyring dynamics with Darcy-Forchheimer resistance, Joule heating, and variable thermal conductivity. Heat transfer is modeled using CattaneoChristov theory. The governing equations are simplified using similarity transformations and solved analytically via the Homotopy Analysis Method (HAM). Results show that:

•
The velocity profile declined with increased unsteadiness, magnetic field, porosity and nanoparticle concentration.
•
Temperature rises when more magnetite nanoparticles are added, improving blood's thermal properties.

We also analyze entropy generation, bacterial density, and nutrient distribution in blood flow. Clinically, since tumors reduce blood circulation, these findings may help optimize nanoparticle-based hyperthermia treatments.

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