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Impact of Kelvin force on treatment of nanofluid with mathematical modeling

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Abstract

The mathematical model for nanomaterial convection through a complex geometry in presence of Kelvin force has been reported in this article. To involve the feature of nanomaterial, single phase model was selected which has nice accuracy for low concentration of iron oxide. Impose of magnetic source next to inner hot wall generates the new force which helps the nanofluid migration. The mathematical equations were solved via CVFEM. The accuracy of method was checked with comparing results against old publication. The styles of flow and isotherms with change of Ra, MnF were examined in results. Augment of Kelvin force converts the sole vortex to two eddies with opposite directions in low Ra and thermal plume appears inside the domain. Rise of buoyancy makes the strength of eddy to augment and Kelvin force makes the streamline values to increase. Nu enhances about 179. 36% with rise of Kelvin forces when Ra = 1e5. Nu augments about 11.13% with dispersing nanoparticles in to H2O. Rise of Ra makes Nu to grow about 119.97% when MnF = 4000.

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Acknowledgements

Bandar Almohsen is supported by Researchers Supporting Project number (RSP-2021/158), King Saud University, Riyadh, Saudi Arabia

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  1. Department of Mathematics, College of Science, King Saud University, Riyadh, 11451, Saudi Arabia

    Bandar Almohsen

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Almohsen, B. Impact of Kelvin force on treatment of nanofluid with mathematical modeling. Appl Nanosci 13, 2767–2775 (2023). https://doi.org/10.1007/s13204-021-02045-6

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