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Analysis of magnetic properties of nanoparticles due to applied magnetic dipole in aqueous medium with momentum slip condition

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Abstract

This article examines the boundary layer flow of magnetic nanofluid over a stretching surface with velocity slip condition. Water is selected as a base liquid whereas ferromagnetic, paramagnetic, diamagnetic, anti-ferromagnetic, and ferrimagnetic are chosen as nanoparticles. The use of magnetic nanoparticle is to control the flow and heat transfer process via external magnetic field. The governing partial differential equations are transformed into highly nonlinear ordinary differential equations. Numerical solution of the resulting problem is obtained. Effect of emerging physical parameters on velocity, temperature, skin friction coefficient, and Nusselt number are explained graphically. We observe that diamagnetic case has gained maximum thermal conductivity as compared with the other ones. Furthermore, skin friction coefficient increases with the variation of β and K1, and opposite interpretation is noted for Nusselt number.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, FBAS, International Islamic University, Islamabad, 44000, Pakistan

    A. Majeed & A. Zeeshan

  2. Department of Mathematics, Quaid-e-Azam University, Islamabad, Pakistan

    T. Hayat

  3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    T. Hayat

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  1. A. Majeed
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  2. A. Zeeshan
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  3. T. Hayat
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Correspondence to A. Zeeshan.

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Majeed, A., Zeeshan, A. & Hayat, T. Analysis of magnetic properties of nanoparticles due to applied magnetic dipole in aqueous medium with momentum slip condition. Neural Comput & Applic 31, 189–197 (2019). https://doi.org/10.1007/s00521-017-2989-5

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  • DOI: https://doi.org/10.1007/s00521-017-2989-5

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