Journal of Applied and Computational Mechanics

The Flow of Jeffrey Nanofluid through Cone-Disk Gap for Thermal Applications using Artificial Neural Networks

Document Type : Research Paper

Authors

1 Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyad, 11432, Saudi Arabia

2 Department of Mathematics, Abdul Wali Khan University Mardan, 23200, Khyber Pakhtunkhwa, Pakistan

3 Department of Mathematics, City University of Science and Information Technology, Peshawar, 25000, Pakistan

4 DoST-Directorate General of Science and Technology, Khyber Pakhtunkhwa, Peshawar, 25000, Pakistan

5 Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia

6 Near East University, Operational Research Center in Healthcare, Nicosia, PC: 99138, TRNC Mersin 10, Turkey

7 Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli street, 71, AZ1007, Baku, Azerbaijan

8 Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

Abstract

This study investigates the flow of Jeffrey nanofluid through the gap between a disk and a cone, incorporating the influences of thermophoresis and Brownian motion within the flow system. Suitable variables have used to convert the modeled equations to dimension-free notations. This set of dimensionless equations has then solved by using Levenberg Marquardt Scheme through Neural Network Algorithm (LMS-NNA). In this study, it has been observed that the absolute error (AE) between the reference and target data consistently falls in the range 10-4 to 10-5 demonstrating the exceptional accuracy performance of LMS-NNA. In all four scenarios it has noticed that transverse velocity distribution has declined with augmentation in magnetic and Jeffery fluid factors by keeping all the other parameters as fixed. It is evident that the optimal validation performance 2.8227×10-9 has been achieved at epoch 1000 for the transverse velocity when cone and disk gyrating in opposite directions. 

Keywords

Main Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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Journal of Applied and Computational Mechanics

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