通过旋转多孔通道探索混合纳米流体流动中形状和尺寸变化的意义

Qadeer Raza, Xiaodong Wang, Bagh Ali, Nehad Ali Shah
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摘要

本研究调查了金属(铜)和非金属(二氧化钛)纳米粒子(NPs)的热性能特征,并考虑了其形状和尺寸的变化。具体来说,我们对四种不同稳定形状的 NPs 进行了分析。我们建立了一个混合模型来分析旋转多孔壁对系统的影响,尤其侧重于渗透雷诺数和特定范围内的 NPs 对磁流体动力学(MHD)影响下的牛顿流体的影响。此外,我们还研究了热量和质量传递中的膨胀/收缩现象以及化学反应的增强。在相似性变换的帮助下,理事偏微分方程(PDE)被转换为非线性微分方程。在数值求解这些非线性微分方程时,采用了四阶 Runge-Kutta 方法 (RK) 和射击技术作为数学策略。将 𝑐𝑟 的值从 2 提高到 10,可提高两个多孔通道之间的传质速率。𝑅𝑒、𝑀和𝑅的值越高,两个多孔通道的表皮摩擦系数就越大。将两种 NP 体积分数(从 1%提高到 5%)的值提高后,传热速率都会提高,尤其是板状 NP 的传热速率要比球状、砖状和圆柱状等其他形状的 NP 好得多。较大的𝛼、M 和 Re 值会导致径向速度剖面在壁和动量边界层厚度的中间呈现出相反的行为。
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Exploring shape and size variations significance in hybrid nanofluid flow via rotating porous channel
The current study investigates the thermal performance characteristics of metallic (Cu) and non‐metallic (TiO2) nanoparticles (NPs), considering variations in their shapes and sizes. Specifically, analysis is conducted for four distinct stable shapes of NPs. A hybrid model is developed to analyze the influence of rotating porous walls on the system, particularly focusing on the impact of the permeable Reynolds number and NPs within a specific range of , in conjunction with a Newtonian fluid under the influence of magnetohydrodynamics (MHDs). Additionally, we examine the phenomena of expansion/contraction in heat and mass transfer enhancement with chemical reactions. The governing partial differential equations (PDEs) are transformed into nonlinear differential equations using the help of similarity transformation. A 4th‐order Runge–Kutta method (RK), coupled with the shooting technique, is employed as a mathematical strategy to numerically solve these nonlinear differential equations. Boosting the values of 𝐾𝑐𝑟 from 2 to 10 enhances the mass transfer rate between both porous channels. Higher values of 𝑅𝑒, 𝑀, and 𝑅 lead to increasing skin friction coefficients for both porous channels. Raising the values of both NP volume fractions ( from 1% to 5% results in enhanced heat transfer rates particularly for much better in platelet‐shaped NPs as compared to other shapes such as spherical, brick, and cylinder. Larger values of 𝛼, M, and Re cause the radial velocity profile to exhibit opposite behaviors in the middle of the wall and momentum boundary layer thickness.
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