利用带有 Levenberg-Marquardt 方案的人工神经网络探索形态对正交运动同轴盘之间磁化 Ree-Eyring 三混合纳米流体流动的影响

Abdul Rauf, Hafiza Khadija Khan, Nehad Ali Shah
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摘要

本研究通过应用 Levenberg-Marquardt 有监督神经网络(LM-SNN)的计算能力,对两个带透气壁的膨胀/收缩盘之间的 Ree-Eyring 三混合纳米流体流动进行了分析。此外,还深入研究了热辐射、布朗运动和热泳的影响。结果显示了含有 SWCNT 和 MWCNT 以及 Fe2O3 和 H2O 基础流体的三混合纳米流体。通过应用适当的转换,将耦合非线性 PDE 系统转换为与对流边界条件相关的 ODE 系统。然后,使用基于有限差分的 BVP-4c MATLAB 代码实现三级 Lobatto IIIA 公式,从而完成数值计算。结果很新颖,并与 LM-SNNs 结果进行了验证。据观察,数值结果与 LM-SNNs 得出的结果相当,两种方法都显示出磁场在下板附近的速度曲线下降,而在上板附近的速度曲线上升。对普朗特数的表皮摩擦力增大,而上盘的努塞尔特数减小。与 BVP-4c 数值方法相比,给定的 LM-SNNs 模型更可靠、更高效、更省时,因为它所需的工作量更少,而且能快速得出结果。
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Exploring the influence of morphology on magnetized Ree–Eyring tri‐hybrid nanofluid flow between orthogonally moving coaxial disks using artificial neural networks with Levenberg–Marquardt scheme
The present study presents an analysis of Ree–Eyring tri‐hybrid nanofluid flow between two expanding/contracting disks with permeable walls by applying the computing power of Levenberg–Marquardt supervised neural networks (LM‐SNNs). The effects of thermal radiation, Brownian motion, and thermophoresis were also thoroughly examined. The results are presented for tri‐hybrid nanofluid with SWCNT and MWCNT and Fe2O3 and H2O base fluid. The coupled non‐linear PDE system is transformed into a system of ODE associated with convective boundary conditions by applying the appropriate transformations. This is then accomplished numerically by using the finite difference‐based BVP‐4c MATLAB code that implements the three‐stage Lobatto IIIA formula. The results are novel and have been validated with LM‐SNNs outcomes. It has been observed that both numerical outcomes and LM‐SNNs produce equivalent results, and both approaches exhibit a drop in the velocity profile for the magnetic field near the lower plate and a rise near the upper plate. The skin friction against the Prandtl number increases, whereas the Nusselt number decreases at the upper disc. Compared to BVP‐4c numerical approaches, the given LM‐SNNs model is more dependable, efficient, and time‐saving because it requires less work and produces results quickly.
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