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Exploring the impact of Schmidt number and fractional operator on free convection flow of fluid with ANN approach

Muhammad RamzanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, PakistanShajar AbbasAS (Ayub Shah), Institute of Mathematics and Research Centre, Multan, PakistanAbdul Hakim HotakSchool of Civil Engineering, Tianjin University, Tianjin, ChinaDana Mohammad KhidhirDilsora AbduvalievaDepartment of Mathematics and Information Technologies, Tashkent State Pedagogical University, Tashkent, UzbekistanAfnan Al AghaDepartment of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah, Saudi ArabiaHakim AL GarallehDepartment of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah, Saudi ArabiaIbrahim MahariqApplied Science Research Center, Applied Science Private University, Amman, Jordan
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In this paper, it has been studied the fractional model of the second grade fluid holding hybrid nanoparticles. Diamond ( Tio 2 ) and ( Co 3 O 4 ) nanoparticles were liquefied with propylene glycol ( C 3 H 8 O 2 ) (base fluid) to make a hybrid nanofluid. This study applies the fractional derivative to the flow of nanofluid with combined effects of mass and thermal diffusion, chemical reaction, exothermic reactions, thermo diffusion, and porous media. The governing equations of the model are transformed into ordinary differential equations via Laplace technique. The algorithm of Levenberg-Marquardt is applied to train the data 70% whereas, 15% data is for validation and testing for ANN approach. Results indicates that velocity and temperature of fluid are accelerated with decreasing vales of fractional operator, Numerical and graphical assessment gave the effectiveness of the flow model.

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