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

被引:3
|
作者
Kanan, Mohammad [1 ]
Ullah, Habib [2 ]
Raja, Muhammad Asif Zahoor [3 ]
Fiza, Mehreen [2 ]
Ullah, Hakeem [2 ]
Shoaib, Muhammad [4 ]
Akgul, Ali [5 ,6 ,7 ]
Asad, Jihad [8 ]
机构
[1] Univ Business & Technol, Jeddah Coll Engn, Jeddah 21432, Saudi Arabia
[2] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Khyber Pakhtunk, Pakistan
[3] Natl Yunlin Univ Sci & Technol, Future Technol Res Ctr, 123 Univ Rd,Sect 3, Touliu 64002, Yunlin, Taiwan
[4] Yuan Ze Univ, AI Ctr, Taoyun 320, Taiwan
[5] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon
[6] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye
[7] Near East Univ, Math Res Ctr, Dept Math, Ner East Blvd, Mersin 10, TR-99138 Nicosia, Turkiye
[8] Plaestine Tech Univ, Fac Sci, Dept Phys, POB 7, Kadoorie Tulkarm 305, Palestine
关键词
ANN-LMP; Second-grade Fluid; Porous Medium; Intelligent Computing; Error Histogram; Regression Analysis; MHD FLOW; HEAT-TRANSFER; BOUNDARY-LAYER; MASS-TRANSFER; PLATE; STREAM; PERMEABILITY; NANOFLUID; DIFFUSION; CONSTANT;
D O I
10.1142/S0218348X23401758
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 [0, 1] 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.
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页数:22
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