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Cu–water nanofluid flow with arbitrarily shaped nanoparticles over a porous plate in a porous medium in the presence of slip

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Abstract

The objective of the article is to analyse the forced convection nanofluid flow over a permeable plate in an absorbent medium using slip boundary conditions. A single-phase model for the nanofluid is used with variable shapes of nanoparticles. The partial differential equations (PDEs) of the model are altered into a set of non-linear ordinary differential equations (ODEs) by a suitable alteration. To obtain the solutions of the system of equations numerically, Runge–Kutta method is used with a shooting technique. The effects of various parameters, like permeability, suction\(/\)injection, nanoparticle volume fraction, velocity slip, thermal slip and nanoparticle shape parameters on velocity and temperature profiles are presented graphically and analysed. In addition, for a clear understanding of the model, the flow and the heat transfer characteristics are presented through graphs and analysed. Fluid velocity is found to increase with the increasing values of permeability of the porous medium, whereas temperature is found to reduce in this case. Temperature is a rising function of the thermal slip parameter, whereas it is a decreasing function of the velocity slip parameter.

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Acknowledgements

The authors thankfully acknowledge the help and support received from the learned reviewers and editors for their constructive suggestions, which improved the quality of the paper. Also, the authors thank Prof. M Taylor for reading the paper.

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Authors and Affiliations

  1. Department of Mathematics, The University of Burdwan, Burdwan, 713 104, India

    Swati Mukhopadhyay

  2. Department of Mathematics, Govt. General Degree College, Kalna-I, Burdwan, 713 405, India

    Mani Shankar Mandal

  3. Department of Mathematics, University of Central Florida, Orlando, FL, 32816-1364, USA

    K Vajravelu

Authors
  1. Swati Mukhopadhyay
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  2. Mani Shankar Mandal
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  3. K Vajravelu
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Correspondence to Swati Mukhopadhyay.

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Mukhopadhyay, S., Mandal, M.S. & Vajravelu, K. Cu–water nanofluid flow with arbitrarily shaped nanoparticles over a porous plate in a porous medium in the presence of slip. Pramana - J Phys 96, 196 (2022). https://doi.org/10.1007/s12043-022-02437-5

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  • DOI: https://doi.org/10.1007/s12043-022-02437-5

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