# Lorentz Forces Effects on the Interactions of Nanoparticles in Emerging Mechanisms with Innovative Approach

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KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand

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Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand

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Division of Science and Technology, Department of Mathematics, University of Education, Lahore 54000, Pakistan

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Department of Basic Sciences and Islamiyat, University of Engineering & Technology, Peshawar, Khyber Pakhtunkhwa 25000, Pakistan

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Faculty of Engineering, Lincoln University College (LUC), Kelantan 15050, Malaysia

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Department of Mathematics, Islamia College University, Peshawar, Khyber Pakhtunkhwa 25000, Pakistan

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Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

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Renewable Energy Research Centre, Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok, 1518 Pracharat 1 Road, Wongsawang, Bangsue, Bangkok 10800, Thailand

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Authors to whom correspondence should be addressed.

Received: 23 August 2020 / Revised: 27 September 2020 / Accepted: 30 September 2020 / Published: 15 October 2020

(This article belongs to the Special Issue Symmetry in Newtonian and Non-Newtonian Fluids)

This paper focuses on advances in the understanding of both the fundamental and applied aspects of nanomaterials. Nanoparticles (titania and graphene oxide) in water-based fluid lying on a surface incorporating the leading edge accretion (or ablation) are analyzed. Entropy generation rate is also considered. The Hall current effect is induced in the flow of hybrid nanofluid, due to which the two-dimensional study converts into three-dimensional space. Similarity transformations convert the equations of momentum, heat transfer, nanoparticles volume fraction and boundary conditions into non-dimensional form. Mathematica software is used to obtain the computation through homotopy analysis method. Analysis is provided through the effects of different parameters on different profiles by sketching the graphs. Flow, heat transfer and nanoparticles concentration in TiO${}_{2}$ /H${}_{2}$ O, as well as GO-TiO${}_{2}$ /H${}_{2}$ O, are decreased with increasing the Stefan blowing effect, while entropy generation rate elevates upon increasing each parameter. Both of the velocity components are reduced with increasing the Hall parameter. Streamlines demonstrate that trapping is increased at the left side of the surface. The obtained results are compared with the published work which show the authentication of the present work.