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Theoretical analysis of the thermal characteristics of Ree–Eyring nanofluid flowing past a stretching sheet due to bioconvection

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Abstract

This analysis examines the flow of Ree–Eyring nanofluid over a stretching sheet in the presence of an inclined magnetic field. The nanoparticle distribution in the nanofluid is stabilised by the movement of motile microorganisms and it constitutes bioconvection. Meanwhile, the impact of thermophoresis and Brownian motion which plays an important role in the transfer of heat and mass is considered along with the convective boundary conditions. The flow of non-Newtonian nanofluid is widely used in the many manufacturing industries as a major component of cooling. Furthermore, it finds applications in thermal extrusion systems, biomedical engineering, cancer treatment etc. The governing equations are formulated using partial differential equations that are translated into non-linear differential equations employing appropriate relations based on these assumptions. The differential transformation technique (DTM) is used to solve these non-linear differential equations, and the results are shown in graphs and tables for various fluid flow parameters. The skin friction coefficient, local Nusselt, and motile density are all calculated and examined numerically. Fluid velocity is observed to increase as a function of a fluid variable. Furthermore, increasing the value of the thermal and relaxation solutal parameters reduces the temperature and concentration.

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Authors and Affiliations

  1. Department of Computational Science, CHRIST(Deemed to be University), Ghaziabad, 201003, India

    V. Puneeth

  2. Departmental of Mathematical Science, Federal Urdu University of Arts, Science and Technology, Karachi, Pakistan

    Farhan Ali

  3. LSEC and ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    M. Riaz Khan

  4. Department of Mathematics, University of Jhang, Gojra Road, 35200, Jhang, Pakistan

    M. Shoaib Anwar

  5. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, 71491, Saudi Arabia

    N. Ameer Ahammad

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  1. V. Puneeth
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  2. Farhan Ali
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Contributions

Conceptualisation and data curation: V. Puneeth. Methodology and validation: M Riaz Khan, M Shoaib Anwar. Writing: Farhan Ali. Review and editing: N Ameer ahmed

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Correspondence to M. Riaz Khan.

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Puneeth, V., Ali, F., Khan, M.R. et al. Theoretical analysis of the thermal characteristics of Ree–Eyring nanofluid flowing past a stretching sheet due to bioconvection. Biomass Conv. Bioref. 14, 8649–8660 (2024). https://doi.org/10.1007/s13399-022-02985-1

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  • DOI: https://doi.org/10.1007/s13399-022-02985-1

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