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用勒让德配置法求解微极流体在拉伸薄板上流动的传热传质问题

Heat and mass transfer of micropolar fluid flow over a stretching sheet by legendre collocation method.

作者信息

Abdelgaber K M, Fathy Mohamed, Abbassi Passant K, Elbarkoki R A

机构信息

Department of Physics & Engineering Mathematics, Faculty of Engineering - Mataria, Helwan University, Cairo, Egypt.

Faculty of Informatics & Computer Science, The British University in Egypt, Cairo, 11511, Egypt.

出版信息

Sci Rep. 2025 Jul 17;15(1):25921. doi: 10.1038/s41598-025-10028-8.

DOI:10.1038/s41598-025-10028-8
PMID:40676022
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12271605/
Abstract

The integration of micropolar fluid in extrusion processes is critical for understanding and improving the manufacturing of materials that reveal microstructural effects. Extrusion is a commonly used process in sectors such as polymer, food, and metal processing, where a material is pushed through a die to form a product with a desired cross-section (e.g., films, sheets, fibers, tubes). The consequences of magnetic field, thermal radiation, and chemical reaction on the quality of the extruded product constitute a complicated and vital area of research. Hence, the current study is conducted to examine the flow associated with the transport of heat and mass of micropolar fluid across an expandable sheet in the company of an external magnetic field, thermal radiation, and chemical reaction. The problem is controlled by the energy equation for heat transfer, the species transport equation for mass transfer, and the Navier-Stokes equations for momentum. Following some conversions, the subsequent scheme of ordinary differential equations (ODEs) is numerically worked out by applying the Legendre-collocation approach. The velocity, temperature, and concentration profiles are analyzed in relation to the effects of thermal radiation, magnetic field strength, and chemical reaction rate. The findings reveal that the magnetic field will decrease the velocity but on the other hand it will increase the microrotation velocity. The magnetic field and the thermal radiation will enhance the temperature. Finally, the magnetic field will improve the concentration slightly but on the other hand the chemical reaction will decrease it.

摘要

微极流体在挤压过程中的整合对于理解和改进揭示微观结构效应的材料制造至关重要。挤压是聚合物、食品和金属加工等行业常用的工艺,在该工艺中,材料被推过模具以形成具有所需横截面的产品(例如薄膜、片材、纤维、管材)。磁场、热辐射和化学反应对挤压产品质量的影响构成了一个复杂而重要的研究领域。因此,进行当前的研究以考察在外部磁场、热辐射和化学反应存在的情况下,微极流体在可膨胀薄板上的热质传输相关流动。该问题由传热的能量方程、传质的物种传输方程和动量的纳维 - 斯托克斯方程控制。经过一些变换后,通过应用勒让德配置法对随后的常微分方程(ODEs)方案进行数值求解。分析了速度、温度和浓度分布与热辐射、磁场强度和化学反应速率的影响之间的关系。研究结果表明,磁场会降低速度,但另一方面会增加微旋转速度。磁场和热辐射会提高温度。最后,磁场会略微提高浓度,但另一方面化学反应会降低浓度。

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