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              <text>The flow analysis of Williamson nanofluid considering the Thompson and Troian slip conditions at the boundary</text>
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              <text>Bioconvection; Joule heating; microorganisms; viscous dissipation; Williamson nanofluid</text>
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              <text>In this article, the impact of Joule heating on the thermal performance of Williamson nanofluid is analyzed under the influence of viscous dissipation along with the Joule heating. Also, the flow is subjected to Thompson and Troian slip conditions that directly influence the velocity of the flow at the boundary. Meanwhile, to achieve the even distribution of nanoparticles in the nanofluid, gyrotactic microorganisms are dispersed whose motion is due to the virtue of density gradient. The heat conduction at the surface is governed by the convective condition which allows the interpretation of the Biot number. The mathematical model is constructed employing these presumptions using partial differential equations, which are then subsequently reduced using similarity transformations to get the ordinary differential equations (ODEs). The RKF-45 numerical approach is used to solve the nonlinear ODE system thus acquired, and the findings are validated by comparing them to the previously published works. The results of this study showed that the higher values of thermophoresis and Brownian motion parameters cause more heat conduction. Also, the rise in the Eckert number that relates to the internal friction enhances the temperature conducted by the nanofluid. Meanwhile, the Lorentz force helps in controlling the flow velocity.  2023 Taylor &amp;amp; Francis Group, LLC.</text>
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              <text>Xin X.; Saeed A.M.; Al-Yarimi F.A.M.; Puneeth V.; Narayan S.S.</text>
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              <text>Numerical Heat Transfer; Part A: Applications, Vol-85, No. 12, pp. 1937-1953.</text>
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              <text>Taylor and Francis Ltd.</text>
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              <text>2024-01-01</text>
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              <text>&lt;a href="https://doi.org/10.1080/10407782.2023.2212922" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1080/10407782.2023.2212922&lt;/a&gt;
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              <text>ISSN: 10407782; CODEN: NHAAE</text>
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              <text>Xin X., College of Foreign Studies, Shandong Technology and Business University, Yantai, China; Saeed A.M., Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia; Al-Yarimi F.A.M., Department of Computer Science, King Khalid University, Muhayel Aseer, Saudi Arabia; Puneeth V., Department of Computational Sciences, CHRIST University, Delhi NCR, Ghaziabad, India; Narayan S.S., Department of Mathematics and Statistics, Ramaiah University of Applied Sciences, Bengaluru, India</text>
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