Litcius/Paper detail

INTELLIGENT COMPUTING PARADIGM FOR SECOND-GRADE FLUID IN A ROTATING FRAME IN A FRACTAL POROUS MEDIUM

Mohammad Kanan, HABIB ULLAH, Muhammad Asif Zahoor Raja, Mehreen Fiza, Hakeem Ullah, Muhammad Shoaib, Ali Akgül, Jihad Asad

2023Fractals15 citationsDOIOpen Access PDF

Abstract

The numerical methods such as the artificial neural networks with greater probability and nonlinear configurations are more suitable for estimation and modeling of the problem parameters. The numerical methods are easy to use in applications as these methods do not require costly and time-consuming tests like the experimental study. In this study, we use the Levenberg–Marquardt-based backpropagation Process (LMP) to create a computing paradigm that makes use of the strength of artificial neural networks (ANN), known as (ANN-LMP). Here we use the ANN-LMP to obtain the solution of the second-grade fluid in a rotating frame in a porous material with the impact of a transverse magnetic field. The 1000 data set points in the interval [Formula: see text] are used for the network training to determine the effect of various physical parameters of the flow problem under consideration. The experiment is executed of six scenarios with different physical paramaters. ANN-LMP is used for evaluating the mean square errors (MSE), training (TR), validation (VL), testing (TT), performance (PF) and fitting (FT) of the data. The problem has been verified by error histograms (EH) and regression (RG) measurements, which show high consistency with observed solutions with accuracy ranging from E-5 to E-8. Characteristics of various concerned parameters on the velocity and temperature profiles are studied.

Topics & Concepts

Artificial neural networkBackpropagationFractalComputer scienceConsistency (knowledge bases)Nonlinear systemFrame (networking)Mean squared errorHistogramAlgorithmRpropArtificial intelligenceMathematicsStatisticsMathematical analysisRecurrent neural networkTypes of artificial neural networksQuantum mechanicsImage (mathematics)PhysicsTelecommunicationsFluid Dynamics and Turbulent FlowsHeat Transfer MechanismsFluid Dynamics and Vibration Analysis