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3-D simulations for maximum values of fluid distributions over separated contours on MHD peristaltic flow of pseudoplastic nanofluid in variable electric conductivity: solar applications

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Abstract

In many industrial usages, nanofluid plays a paramount role in heat transfer rates. So technical studies for the peristaltic flow of MHD Pseudoplastic nanofluid are proposed. The channel walls are characterized by lower uniformity on the lower section and non-uniform asymmetry on the upper section. The law by Wiedemann Franz in some metal materials show that the electrical conductivity has indistinguishable performance of thermal conductivity. In the sense that the thermal energy of the electrons also moves freely and not the electric current. Accordingly, electrical conductivity the fluid electrical conductivity supposed to be varied with the fluid temperature and concertation. Porous medium, and chemical effects are considered. The fluid model re-arranged using dropping bars, \(\delta \ll 1,\) and long wavelengths, then the distributions of fluid are obtained in 3-D figures. Special case for separated contours line is studied, and the maximum values of fluid distributions are visualized. The results are verified in comparisons of trustful published contents of Hasona et al. (J Ther Sci Eng Appl 12(2):021018, 2020), and assured to be in a good manner. The bolus of fluid diminishing at high values of temperature-dependent electrical conductivity. Maximum values for the nanoparticle velocity can improve the solar absorption in solar energy cell.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University (Abha, Saudi Arabia) for funding this work through Research Groups Program under Grant Number (RGP.2/60/44)

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Authors and Affiliations

  1. Department of Physics, College of Sciences and Arts in Mahayel Asir, King Khalid University, Abha, Saudi Arabia

    Nourreddine Sfina

  2. Basic and Applied Science Department, International Academy for Engineering and Media Science, Cairo, 11311, Egypt

    M. G. Ibrahim

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  1. Nourreddine Sfina
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Contributions

Sfina Nourreddine contributed to Visualization, Investigation, Validation, Writing – review & editing. M.G. Ibrahim contributed to Conceptualization, Methodology, Software, Data curation, Writing – original draft.

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Correspondence to M. G. Ibrahim.

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Sfina, N., Ibrahim, M.G. 3-D simulations for maximum values of fluid distributions over separated contours on MHD peristaltic flow of pseudoplastic nanofluid in variable electric conductivity: solar applications. Arch Appl Mech 94, 391–406 (2024). https://doi.org/10.1007/s00419-023-02530-0

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