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Measurement of intelligent computing via Levenberg Marquardt algorithm (LMA) for accurate prediction of fluid forces in a transient non-Newtonian thermal flow

Atif AsgharDepartment of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, PakistanRashid MahmoodDepartment of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, PakistanAfraz Hussain MajeedSchool of Energy and Power Engineering, Jiangsu University, Zhenjiang 212013, ChinaAhmed S. HendyDepartment of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Federal University, 19 Mira St., Yekaterinburg 620002, RussiaMohamed R. AliFaculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt
2024en
ABI

Аннотация

• ANN are a reliable instrument that effectively reduces the costs associated with CFD simulations. • Grashof fluctuation on the thermal transfer properties of surfaces subjected to heat under periodic conditions is analyzed. • These fitness plots facilitate the analysis of the results from training, validation, and testing data against a visual representation of the problem. • The histograms demonstrate that the actual error levels are quite minimal. Predicting precise results for the quantities of interest in time-dependent Computational Fluid Dynamics (CFD) simulations requires a significant investment of computational resources and time. To get around these issues, CFD simulations have been joined with Artificial Neural Networks (ANN). An optimally configured artificial neural network (ANN) is given the training and validation data sets produced by computational fluid dynamics (CFD). The flow around a cylinder, which is a well-known benchmark problem for incompressible flows, has been taken into consideration by the hybrid-CFD system. The mathematical model is based on the non-stationary Navier-Stokes and energy equations with viscosity. The basic architecture of the ANN model consists of 10 hidden layers, three output levels, and five input layers. Fast second-order LMA, a top-tier approach, was used to train the network. Both the Mean Square Error (MSE) and the coefficient of determination (R) provide statistical evidence that the ANN projected values for the drag and lift coefficients and average Nusselt number obtained from the finite element analysis are accurate. This analysis suggests that ANNs have the potential to significantly cut down on the amount of time and energy needed to run time-dependent simulations.

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