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Role of dipole interactions in Darcy–Forchheimer first-order velocity slip nanofluid flow of Williamson model with Robin conditions

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Abstract

Ferrofluids (FF) have numerous applications in biomedical, industrial and mechanical engineering. It characteristics make it helpful for a wide range of uses like in computer hard drives, loudspeakers, rotating shaft motors, magnetic resonance imaging (MRI) and so many others. In this communication, characteristics of magnetized first order Darcy–Forchheimer ferrofluid slip flow of non-Newtonian (Williamson fluid) towards a flat surface of stretched sheet in the presence of chemical reaction, Brownian motion, activation energy, thermophoresis diffusion, mixed convection and Robin condition is addressed. Appropriate similarity transportations are used to alter the complicated and nonlinear PDE’s into ODE’s and computational results are obtained through bvp4c technique (built-in-shooting). Furthermore, the engineering quantities (skin friction coefficient, Nusselt number, Sherwood number) are numerically elaborated with the help important flow parameters. In summary, a proper location of magnetic dipole can adjust the heat and mass transfer rate and flow field to fit the practical application.

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Acknowledgements

The research was supported by the National Natural Science Foundation of China (Grant Nos. 11971142, 11871202, 61673169, 11701176, 11626101, 11601485).

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Authors and Affiliations

  1. Department of Mathematics, Riphah International University, Faisalabad Campus, Faisalabad, 38000, Pakistan

    M. Ijaz Khan

  2. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China

    Waqar A. Khan

  3. NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad, 44000, Pakistan

    M. Waqas

  4. Department of Mathematics and Computer Science, Beirut Arab University, Beirut, Lebanon

    Seifedine Kadry

  5. Department of Mathematics, Huzhou University, Huzhou, 313000, People’s Republic of China

    Yu-Ming Chu

  6. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, 410114, People’s Republic of China

    Yu-Ming Chu

  7. Department of Mathematics, Institute of Arts and Sciences, Government College University, Chiniot Campus, Faisalabad, 35400, Pakistan

    Mubbashar Nazeer

Authors
  1. M. Ijaz Khan
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  2. Waqar A. Khan
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  3. M. Waqas
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  4. Seifedine Kadry
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  5. Yu-Ming Chu
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  6. Mubbashar Nazeer
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Correspondence to Waqar A. Khan or Yu-Ming Chu.

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Khan, M.I., Khan, W.A., Waqas, M. et al. Role of dipole interactions in Darcy–Forchheimer first-order velocity slip nanofluid flow of Williamson model with Robin conditions. Appl Nanosci 10, 5343–5350 (2020). https://doi.org/10.1007/s13204-020-01513-9

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  • DOI: https://doi.org/10.1007/s13204-020-01513-9

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