Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge

Hassan Saadi Abdelaal El-dawy; Rama Subba Reddy Gorla

doi:doi:10.11648/j.acm.20190804.11

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Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge

Hassan Saadi Abdelaal El-dawy, Rama Subba Reddy Gorla

Published in Applied and Computational Mathematics (Volume 8, Issue 4)

Received: 12 June 2019 Accepted: 3 July 2019 Published: 5 September 2019

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Abstract

In this work we studied the effect of nanoparticles on the velocity and heat transfer during the flow of nanofluid in Non-Darcy mixed convection, over a wedge, taking into account of shrinking and stretching of the surface. The governing partial differential equations are converted into ordinary differential equations by means of coordinate transformation. The transformed equations are solved by means of fourth order Runge Kutta method in conjunction with shooting method. The results for the velocity and temperature fields are presented graphically as well as in tabular form. This research is expected to be useful for studying the movement of oil, gas, and water through the oil reservoir or the gas field, in the migration of groundwater and in the purification and purification of water. The friction factor decreases as the nanoparticle concentration increases whereas the heat transfer rate (Nusselt number) increases with nanoparticle concentration. The friction factor and heat transfer rate increase as the suction parameter increases. The friction factor decreases as the wedge angle increases whereas the heat transfer rate (Nusselt number) increases with wedge angle.

Published in	Applied and Computational Mathematics (Volume 8, Issue 4)
DOI	10.11648/j.acm.20190804.11
Page(s)	70-74
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), 2019. Published by Science Publishing Group

Keywords

Nanoparticle, Suction, Wedge, Shrinking and Stretching

References

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[15]	H. A. El-dawy, r. gorla Unsteady Flow of a Nanofluid Over a Shrinking/Stretching Porous Wedge Sheet in the Presence of Solar Radiation Journal of Nanofluids Vol. 7, pp. 1–9, 2018Journal of Nanofluids.
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APA Style

Hassan Saadi Abdelaal El-dawy, Rama Subba Reddy Gorla. (2019). Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge. Applied and Computational Mathematics, 8(4), 70-74. https://doi.org/10.11648/j.acm.20190804.11

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ACS Style

Hassan Saadi Abdelaal El-dawy; Rama Subba Reddy Gorla. Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge. Appl. Comput. Math. 2019, 8(4), 70-74. doi: 10.11648/j.acm.20190804.11

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AMA Style

Hassan Saadi Abdelaal El-dawy, Rama Subba Reddy Gorla. Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge. Appl Comput Math. 2019;8(4):70-74. doi: 10.11648/j.acm.20190804.11

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@article{10.11648/j.acm.20190804.11,
  author = {Hassan Saadi Abdelaal El-dawy and Rama Subba Reddy Gorla},
  title = {Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge},
  journal = {Applied and Computational Mathematics},
  volume = {8},
  number = {4},
  pages = {70-74},
  doi = {10.11648/j.acm.20190804.11},
  url = {https://doi.org/10.11648/j.acm.20190804.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20190804.11},
  abstract = {In this work we studied the effect of nanoparticles on the velocity and heat transfer during the flow of nanofluid in Non-Darcy mixed convection, over a wedge, taking into account of shrinking and stretching of the surface. The governing partial differential equations are converted into ordinary differential equations by means of coordinate transformation. The transformed equations are solved by means of fourth order Runge Kutta method in conjunction with shooting method. The results for the velocity and temperature fields are presented graphically as well as in tabular form. This research is expected to be useful for studying the movement of oil, gas, and water through the oil reservoir or the gas field, in the migration of groundwater and in the purification and purification of water. The friction factor decreases as the nanoparticle concentration increases whereas the heat transfer rate (Nusselt number) increases with nanoparticle concentration. The friction factor and heat transfer rate increase as the suction parameter increases. The friction factor decreases as the wedge angle increases whereas the heat transfer rate (Nusselt number) increases with wedge angle.},
 year = {2019}
}

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TY  - JOUR
T1  - Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge
AU  - Hassan Saadi Abdelaal El-dawy
AU  - Rama Subba Reddy Gorla
Y1  - 2019/09/05
PY  - 2019
N1  - https://doi.org/10.11648/j.acm.20190804.11
DO  - 10.11648/j.acm.20190804.11
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 70
EP  - 74
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20190804.11
AB  - In this work we studied the effect of nanoparticles on the velocity and heat transfer during the flow of nanofluid in Non-Darcy mixed convection, over a wedge, taking into account of shrinking and stretching of the surface. The governing partial differential equations are converted into ordinary differential equations by means of coordinate transformation. The transformed equations are solved by means of fourth order Runge Kutta method in conjunction with shooting method. The results for the velocity and temperature fields are presented graphically as well as in tabular form. This research is expected to be useful for studying the movement of oil, gas, and water through the oil reservoir or the gas field, in the migration of groundwater and in the purification and purification of water. The friction factor decreases as the nanoparticle concentration increases whereas the heat transfer rate (Nusselt number) increases with nanoparticle concentration. The friction factor and heat transfer rate increase as the suction parameter increases. The friction factor decreases as the wedge angle increases whereas the heat transfer rate (Nusselt number) increases with wedge angle.
VL  - 8
IS  - 4
ER  -

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Author Information

Hassan Saadi Abdelaal El-dawy

High Institute of Engineering and Technology Tod, Luxor, Egypt
Rama Subba Reddy Gorla

Department of Mechanical Engineering, Cleveland State University, Cleveland, USA

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Plain Text BibTeX RIS

APA Style

Hassan Saadi Abdelaal El-dawy, Rama Subba Reddy Gorla. (2019). Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge. Applied and Computational Mathematics, 8(4), 70-74. https://doi.org/10.11648/j.acm.20190804.11

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ACS Style

Hassan Saadi Abdelaal El-dawy; Rama Subba Reddy Gorla. Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge. Appl. Comput. Math. 2019, 8(4), 70-74. doi: 10.11648/j.acm.20190804.11

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AMA Style

Hassan Saadi Abdelaal El-dawy, Rama Subba Reddy Gorla. Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge. Appl Comput Math. 2019;8(4):70-74. doi: 10.11648/j.acm.20190804.11

Copy | Download

@article{10.11648/j.acm.20190804.11,
  author = {Hassan Saadi Abdelaal El-dawy and Rama Subba Reddy Gorla},
  title = {Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge},
  journal = {Applied and Computational Mathematics},
  volume = {8},
  number = {4},
  pages = {70-74},
  doi = {10.11648/j.acm.20190804.11},
  url = {https://doi.org/10.11648/j.acm.20190804.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20190804.11},
  abstract = {In this work we studied the effect of nanoparticles on the velocity and heat transfer during the flow of nanofluid in Non-Darcy mixed convection, over a wedge, taking into account of shrinking and stretching of the surface. The governing partial differential equations are converted into ordinary differential equations by means of coordinate transformation. The transformed equations are solved by means of fourth order Runge Kutta method in conjunction with shooting method. The results for the velocity and temperature fields are presented graphically as well as in tabular form. This research is expected to be useful for studying the movement of oil, gas, and water through the oil reservoir or the gas field, in the migration of groundwater and in the purification and purification of water. The friction factor decreases as the nanoparticle concentration increases whereas the heat transfer rate (Nusselt number) increases with nanoparticle concentration. The friction factor and heat transfer rate increase as the suction parameter increases. The friction factor decreases as the wedge angle increases whereas the heat transfer rate (Nusselt number) increases with wedge angle.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Effects of Nanoparticles on Non-Darcy Mixed Convective Heat Transfer in Nanofluids over a Shrinking and Stretching Wedge
AU  - Hassan Saadi Abdelaal El-dawy
AU  - Rama Subba Reddy Gorla
Y1  - 2019/09/05
PY  - 2019
N1  - https://doi.org/10.11648/j.acm.20190804.11
DO  - 10.11648/j.acm.20190804.11
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 70
EP  - 74
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20190804.11
AB  - In this work we studied the effect of nanoparticles on the velocity and heat transfer during the flow of nanofluid in Non-Darcy mixed convection, over a wedge, taking into account of shrinking and stretching of the surface. The governing partial differential equations are converted into ordinary differential equations by means of coordinate transformation. The transformed equations are solved by means of fourth order Runge Kutta method in conjunction with shooting method. The results for the velocity and temperature fields are presented graphically as well as in tabular form. This research is expected to be useful for studying the movement of oil, gas, and water through the oil reservoir or the gas field, in the migration of groundwater and in the purification and purification of water. The friction factor decreases as the nanoparticle concentration increases whereas the heat transfer rate (Nusselt number) increases with nanoparticle concentration. The friction factor and heat transfer rate increase as the suction parameter increases. The friction factor decreases as the wedge angle increases whereas the heat transfer rate (Nusselt number) increases with wedge angle.
VL  - 8
IS  - 4
ER  -

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