Research Article | | Peer-Reviewed

Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation

Received: 7 October 2023     Accepted: 23 October 2023     Published: 22 December 2023
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Abstract

The steady state magnetohydrodynamic flow of Jeffrey nanofluid with nonlinear thermal radiation, over a porous plate together with prescribed boundary conditions of interest was carried out via Lie symmetry group alteration. The all-inclusive flow of the present model incorporates the Jeffrey parameters, nonlinear thermal radiation, heat generation, Brownian motion, chemical reaction, thermophoresis and porosity parameter. The derived governing equations of the problem are highly nonlinear coupled partial differential equations. The Lie group approach was used to convert the system partial differential equations to a system of ordinary differential equations which was solved numerically with the help of a matlab solver called bvp4c. The established numerical results were discussed with help of line graph. The Rayleigh number and porosity parameter enriched the velocity fluid. The rise of the temperature ratio parameter and heat generation parameter improved the temperature contours and is reduced by boosting the Prandtl number. Lewis number, chemical reaction parameter diminished the concentration profile and took the opposite direction for Biot number. Equally, by improving Jeffrey parameter and Hartmann number weakened skin friction profile. Also, Sherwood number, and the Nusselt number were also expanded. The recent outcome will be useful in the automobile industry, polymer industry and so on.

Published in International Journal of Theoretical and Applied Mathematics (Volume 9, Issue 3)
DOI 10.11648/j.ijtam.20230903.11
Page(s) 23-34
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2023. Published by Science Publishing Group

Keywords

Nonlinear Thermal Radiation, Heat Source-Sink, Porosity Parameter and Jeffrey Parameter

References
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[2] B. K. Jha, and G. Samaila, “Nonlinear approximation for buoyancy-driven mixed convection heat and mass transfer flow over an inclined porous plate with Joule heating, nonlinear thermal radiation, viscous dissipation and thermophoresis effects,” Numerical Heat Transfer, Part B: Fundamentals, 2022, DOI: 10.1080/10407790.2022.2150341.
[3] M. I. Khan, M. Waqas, T. Hayat, A. Alsaedi, M. I. Muhammad Imran Khan, “Significance of nonlinear radiation in mixedconvection flow of magneto Walter-B nanoliquid,” International Journal of Hydrogen Energy vol. 42, 26408–26416, 2017.
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[6] O. F. Bidemi and M. S. S. Ahamed “Soret and Dufour effects on unsteady casson magneto-nanofluid flow over an inclined plate embedded in a porous medium,” World Journal of Engineering, https//dio. Org/10.1108/WJE-04-2018-0144, 2019.
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Cite This Article
  • APA Style

    Williams, M., Bala Yabo, I., Mustafa, A., Audu, A. (2023). Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation. International Journal of Theoretical and Applied Mathematics, 9(3), 23-34. https://doi.org/10.11648/j.ijtam.20230903.11

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    ACS Style

    Williams, M.; Bala Yabo, I.; Mustafa, A.; Audu, A. Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation. Int. J. Theor. Appl. Math. 2023, 9(3), 23-34. doi: 10.11648/j.ijtam.20230903.11

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    AMA Style

    Williams M, Bala Yabo I, Mustafa A, Audu A. Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation. Int J Theor Appl Math. 2023;9(3):23-34. doi: 10.11648/j.ijtam.20230903.11

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  • @article{10.11648/j.ijtam.20230903.11,
      author = {Michael Williams and Isah Bala Yabo and Aminu Mustafa and Ahmed Audu},
      title = {Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation},
      journal = {International Journal of Theoretical and Applied Mathematics},
      volume = {9},
      number = {3},
      pages = {23-34},
      doi = {10.11648/j.ijtam.20230903.11},
      url = {https://doi.org/10.11648/j.ijtam.20230903.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20230903.11},
      abstract = {The steady state magnetohydrodynamic flow of Jeffrey nanofluid with nonlinear thermal radiation, over a porous plate together with prescribed boundary conditions of interest was carried out via Lie symmetry group alteration. The all-inclusive flow of the present model incorporates the Jeffrey parameters, nonlinear thermal radiation, heat generation, Brownian motion, chemical reaction, thermophoresis and porosity parameter. The derived governing equations of the problem are highly nonlinear coupled partial differential equations. The Lie group approach was used to convert the system partial differential equations to a system of ordinary differential equations which was solved numerically with the help of a matlab solver called bvp4c. The established numerical results were discussed with help of line graph. The Rayleigh number and porosity parameter enriched the velocity fluid. The rise of the temperature ratio parameter and heat generation parameter improved the temperature contours and is reduced by boosting the Prandtl number. Lewis number, chemical reaction parameter diminished the concentration profile and took the opposite direction for Biot number. Equally, by improving Jeffrey parameter and Hartmann number weakened skin friction profile. Also, Sherwood number, and the Nusselt number were also expanded. The recent outcome will be useful in the automobile industry, polymer industry and so on.
    },
     year = {2023}
    }
    

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  • TY  - JOUR
    T1  - Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation
    AU  - Michael Williams
    AU  - Isah Bala Yabo
    AU  - Aminu Mustafa
    AU  - Ahmed Audu
    Y1  - 2023/12/22
    PY  - 2023
    N1  - https://doi.org/10.11648/j.ijtam.20230903.11
    DO  - 10.11648/j.ijtam.20230903.11
    T2  - International Journal of Theoretical and Applied Mathematics
    JF  - International Journal of Theoretical and Applied Mathematics
    JO  - International Journal of Theoretical and Applied Mathematics
    SP  - 23
    EP  - 34
    PB  - Science Publishing Group
    SN  - 2575-5080
    UR  - https://doi.org/10.11648/j.ijtam.20230903.11
    AB  - The steady state magnetohydrodynamic flow of Jeffrey nanofluid with nonlinear thermal radiation, over a porous plate together with prescribed boundary conditions of interest was carried out via Lie symmetry group alteration. The all-inclusive flow of the present model incorporates the Jeffrey parameters, nonlinear thermal radiation, heat generation, Brownian motion, chemical reaction, thermophoresis and porosity parameter. The derived governing equations of the problem are highly nonlinear coupled partial differential equations. The Lie group approach was used to convert the system partial differential equations to a system of ordinary differential equations which was solved numerically with the help of a matlab solver called bvp4c. The established numerical results were discussed with help of line graph. The Rayleigh number and porosity parameter enriched the velocity fluid. The rise of the temperature ratio parameter and heat generation parameter improved the temperature contours and is reduced by boosting the Prandtl number. Lewis number, chemical reaction parameter diminished the concentration profile and took the opposite direction for Biot number. Equally, by improving Jeffrey parameter and Hartmann number weakened skin friction profile. Also, Sherwood number, and the Nusselt number were also expanded. The recent outcome will be useful in the automobile industry, polymer industry and so on.
    
    VL  - 9
    IS  - 3
    ER  - 

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Author Information
  • Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

  • Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

  • Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

  • Department of Statistics, Usmanu Danfodiyo University, Sokoto, Nigeria

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