The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube

Bothaina Mohamed Agoor; Mohamed Eissa Sayed-Ahmed; Heba Alam

doi:doi:10.11648/j.ijfmts.20210701.11

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The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube

Bothaina Mohamed Agoor, Mohamed Eissa Sayed-Ahmed, Heba Alam

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 7, Issue 1)

Received: 24 November 2020 Accepted: 4 January 2021 Published: 15 January 2021

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Abstract

These articles show the mathematical investigation of the binary Powell- Eyring Nanofluid of peristaltic flow with heat transfer in a ciliated tube. The approximation of long wavelength and low Reynolds number is taken into consideration. We obtain a system of partial differential equations which solved by using the perturbation method. The velocity and the temperature are computed for various values of the physical parameters. The results are illustrated graphically through a set of Figures. We found that the increase of Grashof number causes an increase in the velocity, then the velocity decrease near the wall of the tube. When the volume fraction of the Nanoparticles increase the velocity increase and decrease near the wall of the tube. The increase in the cilia length leads to an increase in the velocity, then a decrease near the wall of the tube. The increase of the first Eyring-Powell parameter gives an increase in the velocity and decrease near the wall of the tube. The increase of the second Eyring-Powell parameter cause decrease in the velocity. The temperature parameter increase then decreases with the increase of the Sink parameter. The increase of the volume fraction of the Nanoparticles leads to decreases then increase in the temperature parameter. The increase of the cilia length parameter causes an Increase in the temperature.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 7, Issue 1)
DOI	10.11648/j.ijfmts.20210701.11
Page(s)	1-11
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), 2024. Published by Science Publishing Group

Keywords

Nanofluid, Perturbation Method, Eyring- Powell Model, Peristaltic Flow and Heat Transfer

References

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Bothaina Mohamed Agoor, Mohamed Eissa Sayed-Ahmed, Heba Alam. (2021). The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube. International Journal of Fluid Mechanics & Thermal Sciences, 7(1), 1-11. https://doi.org/10.11648/j.ijfmts.20210701.11

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ACS Style

Bothaina Mohamed Agoor; Mohamed Eissa Sayed-Ahmed; Heba Alam. The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube. Int. J. Fluid Mech. Therm. Sci. 2021, 7(1), 1-11. doi: 10.11648/j.ijfmts.20210701.11

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AMA Style

Bothaina Mohamed Agoor, Mohamed Eissa Sayed-Ahmed, Heba Alam. The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube. Int J Fluid Mech Therm Sci. 2021;7(1):1-11. doi: 10.11648/j.ijfmts.20210701.11

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@article{10.11648/j.ijfmts.20210701.11,
  author = {Bothaina Mohamed Agoor and Mohamed Eissa Sayed-Ahmed and Heba Alam},
  title = {The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {7},
  number = {1},
  pages = {1-11},
  doi = {10.11648/j.ijfmts.20210701.11},
  url = {https://doi.org/10.11648/j.ijfmts.20210701.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20210701.11},
  abstract = {These articles show the mathematical investigation of the binary Powell- Eyring Nanofluid of peristaltic flow with heat transfer in a ciliated tube. The approximation of long wavelength and low Reynolds number is taken into consideration. We obtain a system of partial differential equations which solved by using the perturbation method. The velocity and the temperature are computed for various values of the physical parameters. The results are illustrated graphically through a set of Figures. We found that the increase of Grashof number causes an increase in the velocity, then the velocity decrease near the wall of the tube. When the volume fraction of the Nanoparticles increase the velocity increase and decrease near the wall of the tube. The increase in the cilia length leads to an increase in the velocity, then a decrease near the wall of the tube. The increase of the first Eyring-Powell parameter gives an increase in the velocity and decrease near the wall of the tube. The increase of the second Eyring-Powell parameter cause decrease in the velocity. The temperature parameter increase then decreases with the increase of the Sink parameter. The increase of the volume fraction of the Nanoparticles leads to decreases then increase in the temperature parameter. The increase of the cilia length parameter causes an Increase in the temperature.},
 year = {2021}
}

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TY - JOUR
T1 - The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube
AU - Bothaina Mohamed Agoor
AU - Mohamed Eissa Sayed-Ahmed
AU - Heba Alam
Y1 - 2021/01/15
PY - 2021
N1 - https://doi.org/10.11648/j.ijfmts.20210701.11
DO - 10.11648/j.ijfmts.20210701.11
T2 - International Journal of Fluid Mechanics & Thermal Sciences
JF - International Journal of Fluid Mechanics & Thermal Sciences
JO - International Journal of Fluid Mechanics & Thermal Sciences
SP - 1
EP - 11
PB - Science Publishing Group
SN - 2469-8113
UR - https://doi.org/10.11648/j.ijfmts.20210701.11
AB - These articles show the mathematical investigation of the binary Powell- Eyring Nanofluid of peristaltic flow with heat transfer in a ciliated tube. The approximation of long wavelength and low Reynolds number is taken into consideration. We obtain a system of partial differential equations which solved by using the perturbation method. The velocity and the temperature are computed for various values of the physical parameters. The results are illustrated graphically through a set of Figures. We found that the increase of Grashof number causes an increase in the velocity, then the velocity decrease near the wall of the tube. When the volume fraction of the Nanoparticles increase the velocity increase and decrease near the wall of the tube. The increase in the cilia length leads to an increase in the velocity, then a decrease near the wall of the tube. The increase of the first Eyring-Powell parameter gives an increase in the velocity and decrease near the wall of the tube. The increase of the second Eyring-Powell parameter cause decrease in the velocity. The temperature parameter increase then decreases with the increase of the Sink parameter. The increase of the volume fraction of the Nanoparticles leads to decreases then increase in the temperature parameter. The increase of the cilia length parameter causes an Increase in the temperature.
VL - 7
IS - 1
ER -

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Author Information

Bothaina Mohamed Agoor

Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt
Mohamed Eissa Sayed-Ahmed

Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, Fayoum, Egypt
Heba Alam

Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt

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APA Style

Bothaina Mohamed Agoor, Mohamed Eissa Sayed-Ahmed, Heba Alam. (2021). The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube. International Journal of Fluid Mechanics & Thermal Sciences, 7(1), 1-11. https://doi.org/10.11648/j.ijfmts.20210701.11

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ACS Style

Bothaina Mohamed Agoor; Mohamed Eissa Sayed-Ahmed; Heba Alam. The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube. Int. J. Fluid Mech. Therm. Sci. 2021, 7(1), 1-11. doi: 10.11648/j.ijfmts.20210701.11

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AMA Style

Bothaina Mohamed Agoor, Mohamed Eissa Sayed-Ahmed, Heba Alam. The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube. Int J Fluid Mech Therm Sci. 2021;7(1):1-11. doi: 10.11648/j.ijfmts.20210701.11

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@article{10.11648/j.ijfmts.20210701.11,
  author = {Bothaina Mohamed Agoor and Mohamed Eissa Sayed-Ahmed and Heba Alam},
  title = {The Binary Powell-Eyring Nanofluid of Peristaltic Flow with Heat Transfer in a Ciliated Tube},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {7},
  number = {1},
  pages = {1-11},
  doi = {10.11648/j.ijfmts.20210701.11},
  url = {https://doi.org/10.11648/j.ijfmts.20210701.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20210701.11},
  abstract = {These articles show the mathematical investigation of the binary Powell- Eyring Nanofluid of peristaltic flow with heat transfer in a ciliated tube. The approximation of long wavelength and low Reynolds number is taken into consideration. We obtain a system of partial differential equations which solved by using the perturbation method. The velocity and the temperature are computed for various values of the physical parameters. The results are illustrated graphically through a set of Figures. We found that the increase of Grashof number causes an increase in the velocity, then the velocity decrease near the wall of the tube. When the volume fraction of the Nanoparticles increase the velocity increase and decrease near the wall of the tube. The increase in the cilia length leads to an increase in the velocity, then a decrease near the wall of the tube. The increase of the first Eyring-Powell parameter gives an increase in the velocity and decrease near the wall of the tube. The increase of the second Eyring-Powell parameter cause decrease in the velocity. The temperature parameter increase then decreases with the increase of the Sink parameter. The increase of the volume fraction of the Nanoparticles leads to decreases then increase in the temperature parameter. The increase of the cilia length parameter causes an Increase in the temperature.},
 year = {2021}
}

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