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Darcy–Forchheimer three-dimensional flow of carbon nanotubes with nonlinear thermal radiation

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Abstract

The present study elaborates three-dimensional (3D) thermally radiative flow of carbon nanotubes dispersed in water with Darcy–Forchheimer porous space. A bidirectional linear stretchable sheet is used to generate the flow. Darcy–Forchheimer relation specifies porous space. Single-wall carbon nanotubes and multi-wall carbon nanotubes are accounted. Solutions development is due to optimal homotopy analysis technique. Optimal data of sundry variables are obtained. The optimal solution interpretations of velocities and temperature are interpreted via plots. Physical quantities are also elaborated. Our results reveal that thermal field against radiation and temperature ratio parameter is enhanced.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan

    Tasawar Hayat & Farwa Haider

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

    Tasawar Hayat & Ahmed Alsaedi

  3. Department of Mathematics, Government College Women University, Sialkot, 51310, Pakistan

    Taseer Muhammad

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  1. Tasawar Hayat
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Hayat, T., Haider, F., Muhammad, T. et al. Darcy–Forchheimer three-dimensional flow of carbon nanotubes with nonlinear thermal radiation. J Therm Anal Calorim 140, 2711–2720 (2020). https://doi.org/10.1007/s10973-019-09016-8

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