Asad Ullah, Hongxing Yao, Ikramullah, N. A. Othman, El‐Sayed M. Sherif
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The results for the state variables are displayed through graphs and tables by performing 1000 independent iterations with tolerance and . The Hartman, Casson, and Richardson numbers with their increasing values enhance the velocity profile. The chemical reaction parameter and the Prandtl number decline the thermal and concentration profiles, respectively. The Statistical analysis in the form of regression and histograms is also carried out in each case. The absolute error (AE) ranges up to and validations that range up to are presented for the varying values of each parameter. A comparative analysis of the nanofluid (NF) and hybrid nanofluid (HNF) is performed in each case study. 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引用次数: 0
摘要
我们研究了卡松混合纳米流体(Cu+/)流经带穿孔的里加板传感器的情况,穿孔起到了电磁致动器的作用。次碳酸被视为基液。动力学过程中考虑了阿伦尼乌斯化学动力学和粘性耗散的影响。该问题是通过考虑传热和传质来解决的。通过适当的缩放来降低问题的复杂性,并进一步将其转化为常微分方程(ODE)系统。缩减后的系统进一步设置为一阶方程系统,并利用人工神经网络(ANN)进行分析,该网络采用 Levenberg-Marquardt 算法进行训练。通过执行 1000 次独立迭代,在容差为 和 的情况下,状态变量的结果将通过图形和表格显示出来。哈特曼数、卡森数和理查德森数的数值不断增加,从而增强了速度曲线。化学反应参数和普朗特数分别会降低热曲线和浓度曲线。对每种情况还进行了回归和直方图形式的统计分析。针对每个参数的不同值,给出了最大绝对误差(AE)范围和最大验证范围。每个案例研究都对纳米流体(NF)和混合纳米流体(HNF)进行了比较分析。表皮摩擦系数和努塞尔特数的结果以表格形式进行了数值显示,并与现有文献进行了比较,证明了 ANN 的准确性和性能。
A neuro‐computational study of viscous dissipation and nonlinear Arrhenius chemical kinetics during the hypodicarbonous acid‐based hybrid nanofluid flow past a Riga plate
We examine the flow of Casson hybrid nanofluid (Cu+/) through a Riga plate sensor with perforations that act as an electromagnetic actuator. The hypodicarbonous acid is considered a base fluid. The impact of Arrhenius chemical kinetics and viscous dissipation are taken into account during the dynamics. The problem is formulated by considering the heat and mass transfer. An appropriate scaling is used to reduce the complexity of the problem, and further transform it into a system of ordinary differential equations (ODEs). The reduced system is further set for the first‐order system of equations that are analyzed with the Artificial Neural Network (ANN) which is trained with the Levenberg–Marquardt algorithm. The results for the state variables are displayed through graphs and tables by performing 1000 independent iterations with tolerance and . The Hartman, Casson, and Richardson numbers with their increasing values enhance the velocity profile. The chemical reaction parameter and the Prandtl number decline the thermal and concentration profiles, respectively. The Statistical analysis in the form of regression and histograms is also carried out in each case. The absolute error (AE) ranges up to and validations that range up to are presented for the varying values of each parameter. A comparative analysis of the nanofluid (NF) and hybrid nanofluid (HNF) is performed in each case study. The results for skin friction and Nusselt number are displayed numerically in the form of tables and are compared with the available literature, where the accuracy and performance of ANN are proved.