TY - JOUR
T1 - INTELLIGENT COMPUTING OF NUMERICAL TREATMENT OF MODEL OF HEAT TRANSFER OF MICROPOLAR FLUID THROUGH A POROUS MEDIUM WITH RADIATION
AU - Mahariq, Ibrahim
AU - Fiza, Mehreen
AU - Ullah, Kashif
AU - Ullah, Hakeem
AU - Akgül, Ali
AU - Alshammari, Fahad Sameer
AU - Abduvalieva, Dilsora
AU - Jan, Aasim Ullah
N1 - Publisher Copyright:
© 2025 The Author(s)
PY - 2025
Y1 - 2025
N2 - In this research, we employ artificial neural networks (ANNs) with the Levenberg–Marquardt backpropagation method (ANN-LMBM) to effectively model and solve the nonlinear heat transfer problem of micropolar (MP) fluid through porous media under the influence of thermal radiation. This approach offers a fast, cost-effective alternative to traditional empirical methods, delivering high-precision results without the need for laborious testing (TT). By using a dataset of 1000 points in the range [0, 8], the ANN is trained to analyze the impact of six key physical parameters on the flow dynamics. We examine critical outcomes such as velocity, angular microstructure velocity, temperature distribution, heat flux coefficient, and shearing stress at the plate. Performance is rigorously evaluated through mean square error (MSE), training (TR), validation (VL), TT, and fitting (FT) metrics, all of which affirm the model’s robustness. The results are further validated with error histograms (ES) and regression analysis (RG), showcasing remarkable accuracy with error margins between E-4 and E-8. This study highlights the efficiency and reliability of ANN-LMBM in tackling complex heat transfer problems, providing deep insights into how physical parameters affect fluid behavior. The method’s high stability and precision make it a valuable tool for researchers and engineers, advancing the study of heat transfer in MP fluids.
AB - In this research, we employ artificial neural networks (ANNs) with the Levenberg–Marquardt backpropagation method (ANN-LMBM) to effectively model and solve the nonlinear heat transfer problem of micropolar (MP) fluid through porous media under the influence of thermal radiation. This approach offers a fast, cost-effective alternative to traditional empirical methods, delivering high-precision results without the need for laborious testing (TT). By using a dataset of 1000 points in the range [0, 8], the ANN is trained to analyze the impact of six key physical parameters on the flow dynamics. We examine critical outcomes such as velocity, angular microstructure velocity, temperature distribution, heat flux coefficient, and shearing stress at the plate. Performance is rigorously evaluated through mean square error (MSE), training (TR), validation (VL), TT, and fitting (FT) metrics, all of which affirm the model’s robustness. The results are further validated with error histograms (ES) and regression analysis (RG), showcasing remarkable accuracy with error margins between E-4 and E-8. This study highlights the efficiency and reliability of ANN-LMBM in tackling complex heat transfer problems, providing deep insights into how physical parameters affect fluid behavior. The method’s high stability and precision make it a valuable tool for researchers and engineers, advancing the study of heat transfer in MP fluids.
KW - ANN-LMBM
KW - Heat Transfer
KW - Micropolar Fluid
KW - Porous Media
KW - Thermal Radiation
UR - https://www.scopus.com/pages/publications/105014774198
U2 - 10.1142/S0218348X25402364
DO - 10.1142/S0218348X25402364
M3 - Article
AN - SCOPUS:105014774198
SN - 0218-348X
VL - 33
JO - Fractals
JF - Fractals
IS - 10
M1 - 2540236
ER -