The knacks of artificial intelligence (AI) to manage complex databases effectively transform various fields by enabling sophisticated data analysis and predictive modeling. The presented research work introduces to analyze the flow of Carreau nanofluids focusing on heat and mass transfer mechanism which involves Brownian motion and thermophoresis phenomena based on neural networks backpropagated with Levenberg-Marquardt algorithm (NNs-LMA). The initial nonlinear coupled partial differential equations (PDEs) that describe the Carreau nanofluids model (CNFM) are reformulated into an equivalent system of nonlinear ordinary differential equations (ODEs) by using similarity variables. The governing ODEs are resolved by utilizing the state-of-the-art Adam numerical approach by varying different parameters including Prandtl number Pr from 0.71 to 0.9, stretching parameter m, magnetic parameter M and Brownian motion parameter Nb from 0.4 to 2.4 across multiple CNFM scenarios, leading to the creation of data set for the proposed NNs-LMA. In order to determine the approximate solution for different cases and confirm the accuracy of the suggested NNs-LMA, the training, testing and validation procedures of NNs-LMA are carried out. The effectiveness of the designed procedure NNs-LMA in solving the CNFM is validated through mean square error (MSE) evaluation, histogram analysis and regression studies. Assessing absolute error for concentration characteristics Brownian motion parameter Nb and stretching parameter m ranging from 10-4 to 10-7 and 10-3 to 10-6, respectively. The validity and accuracy of the designed procedure NNs-LMA is reinforced by the error analysis presenting a consistent range of 10-4 to 10-8 between the proposed methodology and reference results. It is revealed that velocity profile shows a decreasing trend against the higher values of magnetic parameter while increasing behavior is visualized for increased values of stretching parameter.
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