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Novel Analysis of Two Kinds Hybrid Models in Ferro Martial Inserting Variable Lorentz Force Past a Heated Disk: An Implementation of Finite Element Method

Enran Hou1, Umar Nazir2, Samaira Naz3, Muhammad Sohail2,4,*, Muhammad Nadeem5, Jung Rye Lee6, Choonkil Park7,*, Ahmed M. Galal8,9

1 College of Mathematics, Huaibei Normal University, Huaibei, 235000, China
2 Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad, 44000, Pakistan
3 Department of Mathematics, Government College University Faisalabad, Faisalabad, 38000, Pakistan
4 Department of Mathematics, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan, 64200, Pakistan
5 School of Mathematics and Statistics, Qujing Normal Uniersity, Qujing, 655011, China
6 Department of Data Science, Daejin University, Kyunggi, 11159, Korea
7 Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, Korea
8 Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser, 11991, Saudi Arabia
9 Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura, P.O 35516, Egypt

* Corresponding Authors: Muhammad Sohail. Email: ; Choonkil Park. Email:

(This article belongs to this Special Issue: Fractal-Fractional Models for Engineering & Sciences)

Computer Modeling in Engineering & Sciences 2023, 135(2), 1393-1411.


In this article, the rheology of Ferro-fluid over an axisymmetric heated disc with a variable magnetic field by considering the dispersion of hybrid nanoparticles is considered. The flow is assumed to be produced by the stretching of a rotating heated disc. The contribution of variable thermophysical properties is taken to explore the momentum, mass and thermal transportation. The concept of boundary layer mechanism is engaged to reduce the complex problem into a simpler one in the form of coupled partial differential equations system. The complex coupled PDEs are converted into highly nonlinear coupled ordinary differential equations system (ODEs) and the resulting nonlinear flow problem is handled numerically. The solution is obtained via finite element procedure (FEP) and convergence is established by conducting the grid-independent survey. The solution of converted dimensionless problem containing fluid velocity, temperature and concentration field is plotted against numerous involved emerging parameters and their impact is noted. From the obtained solution, it is monitored that higher values of magnetic parameter retard the fluid flow and escalating values of Eckert number results in to enhance temperature profile. Ferro-fluid flow and heat energy for the case of the Yamada Ota hybrid model are higher than for the case of the Hamilton Crosser hybrid model. Developing a model is applicable to the printing process, electronic devices, temperature measurements, engineering process and food-making process. The amount of mass species is reduced vs. incline impacts of chemical reaction and Schmidt parameter.


Cite This Article

Hou, E., Nazir, U., Naz, S., Sohail, M., Nadeem, M. et al. (2023). Novel Analysis of Two Kinds Hybrid Models in Ferro Martial Inserting Variable Lorentz Force Past a Heated Disk: An Implementation of Finite Element Method. CMES-Computer Modeling in Engineering & Sciences, 135(2), 1393–1411.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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