The flow of blood through arteries is an important physiological problem. In the present investigation, we carried out to study the peristaltic of non-Newtonian incompressible blood flow with heat transfer through ciliated arteries. The blood flow is characterized by the generalized Sisko model. The nonlinear partial differential equations of the problem are simplified by using an approximation of long wavelength and low Reynolds number. The differential equations are solved analytically by using the perturbation method. We find that Sisko fluid parameter and the power index effects the behavior of the velocity where the velocity increase in the arteries then decreases near the wall, but the Sisko parameter give opposite behavior where the velocity decrease then increases near the wall of arteries. The velocity increase in arteries with the increase of cilia length and elliptic path. The temperature profile increases then decreases near the wall of arteries with the increase of power index, Sisko fluid parameter and Grashof number, while the temperature decrease then increase near the wall with increase of Sisko parameter. The effect of increase in the cilia length give an increase of the temperature. The pressure gradient increases with the increase of power index and elliptic path, while the pressure gradient decrease with an increase of elliptic path, Sisko parameter. The pressure gradient increases and decreases in a different interval with the increase the cilia length. Our results are illustrated through a set of Figures.
| Published in | International Journal of Fluid Mechanics & Thermal Sciences (Volume 6, Issue 3) |
| DOI | 10.11648/j.ijfmts.20200603.11 |
| Page(s) | 70-78 |
| 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 |
Sisko Fluid Model, Perturbation Method, Peristaltic Flow, Non-newtonian Fluid and Heat Transfer
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APA Style
Bothaina Mohamed Agoor, Mohamed Eissa Sayed-Ahmed, Heba Alam. (2020). Peristaltic Flow with Heat Transfer on Sisko Fluid in a Ciliated Arteries. International Journal of Fluid Mechanics & Thermal Sciences, 6(3), 70-78. https://doi.org/10.11648/j.ijfmts.20200603.11
ACS Style
Bothaina Mohamed Agoor; Mohamed Eissa Sayed-Ahmed; Heba Alam. Peristaltic Flow with Heat Transfer on Sisko Fluid in a Ciliated Arteries. Int. J. Fluid Mech. Therm. Sci. 2020, 6(3), 70-78. doi: 10.11648/j.ijfmts.20200603.11
AMA Style
Bothaina Mohamed Agoor, Mohamed Eissa Sayed-Ahmed, Heba Alam. Peristaltic Flow with Heat Transfer on Sisko Fluid in a Ciliated Arteries. Int J Fluid Mech Therm Sci. 2020;6(3):70-78. doi: 10.11648/j.ijfmts.20200603.11
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Download@article{10.11648/j.ijfmts.20200603.11,
author = {Bothaina Mohamed Agoor and Mohamed Eissa Sayed-Ahmed and Heba Alam},
title = {Peristaltic Flow with Heat Transfer on Sisko Fluid in a Ciliated Arteries},
journal = {International Journal of Fluid Mechanics & Thermal Sciences},
volume = {6},
number = {3},
pages = {70-78},
doi = {10.11648/j.ijfmts.20200603.11},
url = {https://doi.org/10.11648/j.ijfmts.20200603.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20200603.11},
abstract = {The flow of blood through arteries is an important physiological problem. In the present investigation, we carried out to study the peristaltic of non-Newtonian incompressible blood flow with heat transfer through ciliated arteries. The blood flow is characterized by the generalized Sisko model. The nonlinear partial differential equations of the problem are simplified by using an approximation of long wavelength and low Reynolds number. The differential equations are solved analytically by using the perturbation method. We find that Sisko fluid parameter and the power index effects the behavior of the velocity where the velocity increase in the arteries then decreases near the wall, but the Sisko parameter give opposite behavior where the velocity decrease then increases near the wall of arteries. The velocity increase in arteries with the increase of cilia length and elliptic path. The temperature profile increases then decreases near the wall of arteries with the increase of power index, Sisko fluid parameter and Grashof number, while the temperature decrease then increase near the wall with increase of Sisko parameter. The effect of increase in the cilia length give an increase of the temperature. The pressure gradient increases with the increase of power index and elliptic path, while the pressure gradient decrease with an increase of elliptic path, Sisko parameter. The pressure gradient increases and decreases in a different interval with the increase the cilia length. Our results are illustrated through a set of Figures.},
year = {2020}
}
TY - JOUR T1 - Peristaltic Flow with Heat Transfer on Sisko Fluid in a Ciliated Arteries AU - Bothaina Mohamed Agoor AU - Mohamed Eissa Sayed-Ahmed AU - Heba Alam Y1 - 2020/08/10 PY - 2020 N1 - https://doi.org/10.11648/j.ijfmts.20200603.11 DO - 10.11648/j.ijfmts.20200603.11 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 - 70 EP - 78 PB - Science Publishing Group SN - 2469-8113 UR - https://doi.org/10.11648/j.ijfmts.20200603.11 AB - The flow of blood through arteries is an important physiological problem. In the present investigation, we carried out to study the peristaltic of non-Newtonian incompressible blood flow with heat transfer through ciliated arteries. The blood flow is characterized by the generalized Sisko model. The nonlinear partial differential equations of the problem are simplified by using an approximation of long wavelength and low Reynolds number. The differential equations are solved analytically by using the perturbation method. We find that Sisko fluid parameter and the power index effects the behavior of the velocity where the velocity increase in the arteries then decreases near the wall, but the Sisko parameter give opposite behavior where the velocity decrease then increases near the wall of arteries. The velocity increase in arteries with the increase of cilia length and elliptic path. The temperature profile increases then decreases near the wall of arteries with the increase of power index, Sisko fluid parameter and Grashof number, while the temperature decrease then increase near the wall with increase of Sisko parameter. The effect of increase in the cilia length give an increase of the temperature. The pressure gradient increases with the increase of power index and elliptic path, while the pressure gradient decrease with an increase of elliptic path, Sisko parameter. The pressure gradient increases and decreases in a different interval with the increase the cilia length. Our results are illustrated through a set of Figures. VL - 6 IS - 3 ER -
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