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Numerical simulations for optimised flow of second-grade nanofluid due to rotating disk with nonlinear thermal radiation: Chebyshev spectral collocation method analysis

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Abstract

The optimised flow of nanofluids is quite essential to improve the thermal mechanism of various reacting materials. The entropy generation phenomenon is essential to avoid heat losses in thermal transport systems, heating processes and various engineering devices. In this theoretical analysis, the aspects of entropy generation is presented for time-independent second-grade nanomaterials for disk flow which shows rotating behaviours. The second-grade constitutive relations result in highly nonlinear differential equations. The effects of MHD, nonlinear radiation and chemical reaction are manifested in momentum, heat and concentration equations. Precise numerical treatment for a wide range of non-Newtonian fluid parameters was adopted to tackle the resulting similarity equations. The fluctuation against the heat transfer system, wall shear stress and mass changing phenomenon were also calculated and examined for various parametrical values. The interesting Chebyshev spectral collocation numerical simulations were performed to present the solution. This research finds that the entropy generation and Bejan number show the same trend for temperature and concentration difference parameters, whereas an opposite trend can be seen for the fluid and magnetic parameters. Also, entropy generation increases for diffusion parameter and Brinkman number, but Bejan number shows two trends.

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Acknowledgements

The authors would like to thank the Deanship of Scientific Research at Umm Al-Quara University for supporting this work under Grant No. 22UQU4290491DSR02.

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Authors and Affiliations

  1. Department of Mathematical Sciences, College of Applied Science, Umm Al-Qura University, Makkah, Saudi Arabia

    SHAMI A M Alsallami

  2. Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science, Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, People’s Republic of China

    Usman

  3. Department of Mathematics, COMSATS University Islamabad, Sahiwal, 57000, Pakistan

    Sami Ullah Khan

  4. Department of Mathematics, University of Education, Lahore, (Attock Campus 43600), Pakistan

    Abuzar Ghaffari

  5. Department of Mathematics and Statistics, Riphah International University I-14, Islamabad, 44000, Pakistan

    M Ijaz Khan

  6. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia

    M A El-Shorbagy

  7. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom, 32511, Egypt

    M A El-Shorbagy

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

    M Riaz Khan

  9. School of Mathematical Science, University of Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    M Riaz Khan

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  1. SHAMI A M Alsallami
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  2. Usman
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  3. Sami Ullah Khan
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  5. M Ijaz Khan
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  6. M A El-Shorbagy
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  7. M Riaz Khan
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Correspondence to M Ijaz Khan.

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Alsallami, S.A.M., Usman, Khan, S.U. et al. Numerical simulations for optimised flow of second-grade nanofluid due to rotating disk with nonlinear thermal radiation: Chebyshev spectral collocation method analysis. Pramana - J Phys 96, 98 (2022). https://doi.org/10.1007/s12043-022-02337-8

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  • DOI: https://doi.org/10.1007/s12043-022-02337-8

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