Levenberg–Marquardt back-propagation algorithm for a developing unsteady hybrid nanofluid mixed convective flow across a revolving sphere: irreversibility analysis
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引用次数: 0
Abstract
Enhanced thermal conductivity and shielding applications in electronic devices, solar collectors and concentrators have motivated researchers to deal with the study of nanofluid modelling in the presence of rotating sphere. In this study, a detailed investigation has been conducted on a rotating sphere using the Tiwari–Das model in the presence of radiation, magnetic and buoyancy effects to carry out thermal analysis and irreversibility analysis using various external parameters. The energy conversion effects have been captured using irreversibility analysis based on second law of thermodynamics. The dimensionless nonlinear ordinary differential equations were solved numerically using MATLAB bvp4c code, and back-propagation analysis was performed with the aid of ANN (artificial neural network). The outcomes reveal a surge in velocity along the x-direction with the unsteadiness parameter \((A)\), showing that the mono-nanofluid surpasses the hybrid nanofluid in velocity. Conversely, the z-direction velocity displays a reverse trend. There is an enhancement in the entropy of the system with augmenting radiation \((R)\) and magnetic parameter \((M)\). The skin friction coefficient decreased by 2.93–4.51% on increasing the unsteadiness parameter \((A)\). Nusselt number increased with increasing rotational parameter \(\left(\lambda \right).\) Entropy of the system \(\left(NG\right)\) and Bejan number \((Be)\) increased with increasing \(R\) values. The maximum absolute error was of the order of \({10}^{-11}.\) The maximum mean squared error for Nusselt number was 3.0251E-11, which was attained in 441 epochs.
在电子器件、太阳能集热器和聚光器中增强热导率和屏蔽的应用促使研究人员对旋转球体存在下的纳米流体建模进行研究。在本研究中,使用Tiwari-Das模型对一个存在辐射、磁力和浮力效应的旋转球体进行了详细的研究,并使用各种外部参数进行了热分析和不可逆性分析。利用基于热力学第二定律的不可逆性分析捕获了能量转换效应。利用MATLAB bvp4c代码对无量纲非线性常微分方程进行数值求解,并借助人工神经网络进行反向传播分析。结果显示,随着非定常参数\((A)\)的增加,单纳米流体的速度在x方向上出现了激增,这表明单纳米流体的速度超过了混合纳米流体。相反,z向速度呈现相反的趋势。随着辐射\((R)\)和磁参数\((M)\)的增大,系统的熵增大。表面摩擦系数降低2.93 ~ 4.51% on increasing the unsteadiness parameter \((A)\). Nusselt number increased with increasing rotational parameter \(\left(\lambda \right).\) Entropy of the system \(\left(NG\right)\) and Bejan number \((Be)\) increased with increasing \(R\) values. The maximum absolute error was of the order of \({10}^{-11}.\) The maximum mean squared error for Nusselt number was 3.0251E-11, which was attained in 441 epochs.
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