非线性伸缩片上停滞点附近的磁流体混合纳米流体流中的牛顿加热现象

Nurwardah Mohd Puzi, Mashitah Aziz, Nur Syazana Anuar, Norfifah Bachok, Iaon Pop
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引用次数: 0

摘要

混合纳米流体在许多应用中都表现出卓越的传热性能。然而,仍需进一步研究,以扩大其潜在应用范围。混合纳米流体在提高热效率方面的潜力使其独特的行为成为研究和探索的焦点。本研究的重点是 MHD 混合纳米流体在非线性拉伸/收缩片上停滞点附近的牛顿加热效应。数学模型采用了 Tiwari 和 Das 模型(单相模型)。假设基础流体和纳米粒子处于热平衡状态,因此它们之间不存在热滑移。分析中使用了金属(Cu)和金属氧化物(Al2O3)纳米颗粒与水(H2O)作为基础流体。此外,利用相似性转换技术将控制方程转换为相似性方程,然后利用 MATLAB 软件中的 bvp4c 函数对其进行数值求解。将数值结果与已发表的文献进行对比验证,发现两者非常吻合。以图形方式讨论了物理参数对速度、温度、表皮摩擦和局部努塞尔特数的影响。结果表明,在收缩参数的特定范围内可以找到非唯一解。同时还观察到,增加 Cu(铜)纳米粒子的体积分数会导致皮肤摩擦系数和局部努塞尔特数增加。磁性和非线性参数的存在扩大了解决方案的范围,而随着铜的体积分数增加,观察结果也有所不同。此外,研究还表明,随着磁性参数的增加,努塞尔特数也会增加。最后,牛顿加热的增加导致了温度曲线的上升。这项研究对于理解 Cu-Al2O3/ H2O 在磁场和牛顿加热等物理因素影响下的热行为至关重要。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Newtonian Heating in Magnetohydrodynamic (MHD) Hybrid Nanofluid Flow Near the Stagnation Point over Nonlinear Stretching and Shrinking Sheet
Hybrid nanofluids have demonstrated superior heat transfer performance in numerous applications. However, there remains a need for further research to broaden the scope of their potential applications. The unique behavior of hybrid nanofluids, driven by their potential for improved thermal efficiency, continues to be a focal point of investigation and exploration. This study focuses on the effects of Newtonian heating in MHD hybrid nanofluid near the stagnation point over a nonlinear stretching/shrinking sheet. The Tiwari and Das model, which is a single-phase model, was used to develop the mathematical model. The base fluid and the nanoparticles are assumed to be in thermal equilibrium; hence there is no thermal slip between them. The combination of metal (Cu) and metal oxide (Al2O3) nanoparticles with water (H2O) as the base fluid is used for the analysis. Furthermore, the governing equations are transformed using a similarity transformation technique into similarity equations, which are then solved numerically using a bvp4c function in MATLAB software. Numerical comparison with the published literature is conducted to validate the numerical results, and excellent agreement is found. The impact of physical parameters on the velocity, temperature, skin friction, and local Nusselt number is graphically deliberated. The outcomes suggest that non-unique solutions are found in a specific range of the shrinking parameter. It is also observed that increasing Cu (copper) nanoparticle volume fractions cause an increase in the skin friction coefficient and the local Nusselt number. The presence of magnetic and nonlinear parameters widens the range of solutions to exist while different observation is noticed with an increase in the volume fraction of Cu. Other than that, it has been shown that the Nusselt number increases as the magnetic parameter increases. Lastly, the rise of Newtonian heating contributes to an increase in the temperature profile. This investigation is crucial for understanding the thermal behavior of Cu-Al2O3/ H2O under the influence of physical factors like a magnetic field and Newtonian heating.
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