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Research PaperNo Access

Influence of Lorentz and permeability on migration of nanoparticle

School of Science, Huzhou University, Huzhou 313000, P. R. China

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,

Wissam H. Alawee

Control and Systems Engineering Department, University of Technology, Iraq

Training and Workshops Center, University of Technology, Iraq

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,

Rebwar Nasir Dara

Department of Geology, College of Science, Salahaddin University-Erbil, Iraq

Department of Petroleum Engineering, College of Engineering, Knowledge University, Kurdistan Region, Iraq

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,

Alibek Issakhov

Department of Mathematical and Computer Modeling, Al-Farabi Kazakh National University, Almaty, Kazakhstan

Department of Mathematical and Computer Modeling, Kazakh-British Technical University, Almaty, Kazakhstan

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,

Mahmoud Mohamed Selim

Department of Mathematics, Al-Aflaj College of Science and Humanities Studies, Prince Sattam bin Abdulaziz University, Al-Aflaj 710-11912 Saudi Arabia

Department of Mathematics, Suez Faculty of Science Suez University, Egypt

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, and

Mohammed Reza Hajizadeh

Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam

The Faculty of Environmental and Chemical Engineering, Duy Tan University, Da Nang 550000, Vietnam

E-mail Address: mohammadrezahajizadeh@duytan.edu.vn

Corresponding author.

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https://doi.org/10.1142/S0129183121501047Cited by:1 (Source: Crossref)

Abstract

To detect the influence of MHD on migration of hybrid nanopowders, CVFEM has been employed in this paper. Mixture of Fe₃O₄ and MWCNT was added in water and for calculating properties, experimental formulas were utilized. To increase the convective mode, porous media has been used and tank was experienced in the horizontal magnetic field. In governing equations, there exist two new terms, one for permeable media and the other for MHD effect. Such complex physics needs special numerical approach and CVFEM has been utilized for this goal. Final formulation of PDEs did not have pressure terms and the stream function scalar was introduced. As permeability of zone enhances, nanopowders can transfer faster and the interaction of them with wall enhances, so, Nusselt number augments as well as stream function. Besides, employing higher Ha, the force against the buoyancy force increases and the velocity of operating fluid declines which provides lower convective flow. With rise of Ha, stream function declines about 48% and Nu declines about 31.92% when $Da = 100$ $Da = 100$ . As Da rises, Nu rises about 33.43% when $Ha = 0$ $Ha = 0$ . Augment of Rd leads to augmentation of Nu.

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Vol. 32, No. 08

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History

Received 21 August 2020

Accepted 5 March 2021

Published: 14 April 2021

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