Investigation of Forced Convective Heat Transfer in Nanofluids

Zain Fathy Abu Shaeer; Mofreh Hamada Hamed

doi:doi:10.11648/j.ie.20200401.11

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Investigation of Forced Convective Heat Transfer in Nanofluids

Zain Fathy Abu Shaeer, Mofreh Hamada Hamed

Received: 6 August 2019 Accepted: 25 December 2019 Published: 16 January 2020

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Abstract

The present paper concerns a theoretical study of heat transfer of the laminar two dimensional flows of various nanofluids taking into account the dissipation due to viscous term past a 2-D flat plate had a different temperatures. The steady incompressible flow equations were used and transformed to a nonlinear Ordinary Differential Equation (ODE) using a similarity variable. These equations were solved numerically using implicit finite difference method in which the partial derivatives were replaced by appropriate central differences patterns and using Newton’s method to linearize the resulting algebraic equations. Finally, the block-tridiagonal-elimination technique was used to solve that linear system. Three types of nanoparticles namely, Cu-water, Al2O3-water, and TiO2-water in the base flow of water were considered. The symbolic software Mathematica was used in the present study. Different types of nanoparticles, different values of, nanoparticle volume fraction, Eckart and Prandtl number were tested and analyzed at different wall temperature. The effect of these parameters on the flow behaviour, the local skin friction coefficient, Nusselt number, the velocity and the temperature profiles were presented and investigated. It is concluded that these parameters affect the fluid flow behaviour and heat transfer parameters especially nanoparticle concentration. The presence of nanoparticles showed an enhancement in the heat transfer rate moreover its type has a significant effect on heat transfer enhancement.

DOI	10.11648/j.ie.20200401.11
Published in	Industrial Engineering (Volume 4, Issue 1, June 2020)
Page(s)	1-6
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, Flat Plate, Heat Transfer, Viscous Dissipation, Wall Temperature

References

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[2]	S. U. S. Choi, Z. G. Zhang, W. Yu, F. E. Lockwood and E. A. Grulke, Anomalously thermal conductivity enhancement in nanotube suspensions, Appl. Phys. Lett., 79 (2001) 2252-2254.
[3]	K. Das, Slip flow and convective heat transfer of nanofluids over a permeable stretching surface, Computers & Fluids, 64 (2012.) 34-42.
[4]	O. D. Makinde, A. Aziz, Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, Int. J. Thermal Sci, 50 (2011) 1326-1332.
[5]	DA. Nield and AV. Kuznetsov, The Cheng–Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluids, Int. J. Heat Mass Transfer, 52 (2009) 5792–5795.
[6]	Y. Xuan and W. Roetzel, Conceptions for Heat Transfer Correlation of Nano-fluids, Int. J. of Heat and MassTransfer, 43 (2000) 3701–3707.
[7]	N. Bachok, A. Ishak and I. Pop, Boundary-layer flow of nanofluids over a moving surface in a flowing fluid, Int. J. Thermal Sci., 49 (2010) 1663-1668.
[8]	N. Bachok, A. Ishak and I. Pop, Flow and heat transfer characteristics on a moving plate in a nanofluid, Int. J. Heat Mass Transfer, 55 (2012) 642-648.
[9]	Noghrehabadi, A.; Pourrajab, R.; Ghalambaz, M. 2012. Effect of partial slip boundary condition on the flow and heat transfer of nanofluids past stretching sheet prescribed constant wall temperature, Int. J. Thermal Sciences 54: 253-261.
[10]	S. Ahmad, A. M. Rohni and I. Pop Blasius and Sakiadis problems in nanofluids, Acta Mech., 218 (2011) 195-204.
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[14]	Faires D. J.; R. Burden, 1998. Numerical Methods, Brooks/Cole Publishing company, USA.
[15]	Satish Desalea, V H Pradhan, Numerical solution of boundary layer flow equation with viscous dissipation effect along a flat plate with variable temperature, Procedia Engineering, 127 (2015) 846–853.

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APA Style

Zain Fathy Abu Shaeer, Mofreh Hamada Hamed. (2020). Investigation of Forced Convective Heat Transfer in Nanofluids. Industrial Engineering, 4(1), 1-6. https://doi.org/10.11648/j.ie.20200401.11

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ACS Style

Zain Fathy Abu Shaeer; Mofreh Hamada Hamed. Investigation of Forced Convective Heat Transfer in Nanofluids. Ind. Eng. 2020, 4(1), 1-6. doi: 10.11648/j.ie.20200401.11

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AMA Style

Zain Fathy Abu Shaeer, Mofreh Hamada Hamed. Investigation of Forced Convective Heat Transfer in Nanofluids. Ind Eng. 2020;4(1):1-6. doi: 10.11648/j.ie.20200401.11

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@article{10.11648/j.ie.20200401.11,
  author = {Zain Fathy Abu Shaeer and Mofreh Hamada Hamed},
  title = {Investigation of Forced Convective Heat Transfer in Nanofluids},
  journal = {Industrial Engineering},
  volume = {4},
  number = {1},
  pages = {1-6},
  doi = {10.11648/j.ie.20200401.11},
  url = {https://doi.org/10.11648/j.ie.20200401.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ie.20200401.11},
  abstract = {The present paper concerns a theoretical study of heat transfer of the laminar two dimensional flows of various nanofluids taking into account the dissipation due to viscous term past a 2-D flat plate had a different temperatures. The steady incompressible flow equations were used and transformed to a nonlinear Ordinary Differential Equation (ODE) using a similarity variable. These equations were solved numerically using implicit finite difference method in which the partial derivatives were replaced by appropriate central differences patterns and using Newton’s method to linearize the resulting algebraic equations. Finally, the block-tridiagonal-elimination technique was used to solve that linear system. Three types of nanoparticles namely, Cu-water, Al2O3-water, and TiO2-water in the base flow of water were considered. The symbolic software Mathematica was used in the present study. Different types of nanoparticles, different values of, nanoparticle volume fraction, Eckart and Prandtl number were tested and analyzed at different wall temperature. The effect of these parameters on the flow behaviour, the local skin friction coefficient, Nusselt number, the velocity and the temperature profiles were presented and investigated. It is concluded that these parameters affect the fluid flow behaviour and heat transfer parameters especially nanoparticle concentration. The presence of nanoparticles showed an enhancement in the heat transfer rate moreover its type has a significant effect on heat transfer enhancement.},
 year = {2020}
}

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TY  - JOUR
T1  - Investigation of Forced Convective Heat Transfer in Nanofluids
AU  - Zain Fathy Abu Shaeer
AU  - Mofreh Hamada Hamed
Y1  - 2020/01/16
PY  - 2020
N1  - https://doi.org/10.11648/j.ie.20200401.11
DO  - 10.11648/j.ie.20200401.11
T2  - Industrial Engineering
JF  - Industrial Engineering
JO  - Industrial Engineering
SP  - 1
EP  - 6
PB  - Science Publishing Group
SN  - 2640-1118
UR  - https://doi.org/10.11648/j.ie.20200401.11
AB  - The present paper concerns a theoretical study of heat transfer of the laminar two dimensional flows of various nanofluids taking into account the dissipation due to viscous term past a 2-D flat plate had a different temperatures. The steady incompressible flow equations were used and transformed to a nonlinear Ordinary Differential Equation (ODE) using a similarity variable. These equations were solved numerically using implicit finite difference method in which the partial derivatives were replaced by appropriate central differences patterns and using Newton’s method to linearize the resulting algebraic equations. Finally, the block-tridiagonal-elimination technique was used to solve that linear system. Three types of nanoparticles namely, Cu-water, Al2O3-water, and TiO2-water in the base flow of water were considered. The symbolic software Mathematica was used in the present study. Different types of nanoparticles, different values of, nanoparticle volume fraction, Eckart and Prandtl number were tested and analyzed at different wall temperature. The effect of these parameters on the flow behaviour, the local skin friction coefficient, Nusselt number, the velocity and the temperature profiles were presented and investigated. It is concluded that these parameters affect the fluid flow behaviour and heat transfer parameters especially nanoparticle concentration. The presence of nanoparticles showed an enhancement in the heat transfer rate moreover its type has a significant effect on heat transfer enhancement.
VL  - 4
IS  - 1
ER  -

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Author Information

Zain Fathy Abu Shaeer

Department of Basic Engineering Science, Higher Institute of Engineering and Technology, HIET Kafrelsheikh, Egypt
Mofreh Hamada Hamed

Higher Institute of Engineering and Technology, MNF-HIET Menoufia, Egypt; Department of Mechanical Engineering, Faculty of Engineering, Kafrelsheikh University, Kafr Elsheikh, Egypt

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Plain Text BibTeX RIS

APA Style

Zain Fathy Abu Shaeer, Mofreh Hamada Hamed. (2020). Investigation of Forced Convective Heat Transfer in Nanofluids. Industrial Engineering, 4(1), 1-6. https://doi.org/10.11648/j.ie.20200401.11

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ACS Style

Zain Fathy Abu Shaeer; Mofreh Hamada Hamed. Investigation of Forced Convective Heat Transfer in Nanofluids. Ind. Eng. 2020, 4(1), 1-6. doi: 10.11648/j.ie.20200401.11

Copy | Download

AMA Style

Zain Fathy Abu Shaeer, Mofreh Hamada Hamed. Investigation of Forced Convective Heat Transfer in Nanofluids. Ind Eng. 2020;4(1):1-6. doi: 10.11648/j.ie.20200401.11

Copy | Download

@article{10.11648/j.ie.20200401.11,
  author = {Zain Fathy Abu Shaeer and Mofreh Hamada Hamed},
  title = {Investigation of Forced Convective Heat Transfer in Nanofluids},
  journal = {Industrial Engineering},
  volume = {4},
  number = {1},
  pages = {1-6},
  doi = {10.11648/j.ie.20200401.11},
  url = {https://doi.org/10.11648/j.ie.20200401.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ie.20200401.11},
  abstract = {The present paper concerns a theoretical study of heat transfer of the laminar two dimensional flows of various nanofluids taking into account the dissipation due to viscous term past a 2-D flat plate had a different temperatures. The steady incompressible flow equations were used and transformed to a nonlinear Ordinary Differential Equation (ODE) using a similarity variable. These equations were solved numerically using implicit finite difference method in which the partial derivatives were replaced by appropriate central differences patterns and using Newton’s method to linearize the resulting algebraic equations. Finally, the block-tridiagonal-elimination technique was used to solve that linear system. Three types of nanoparticles namely, Cu-water, Al2O3-water, and TiO2-water in the base flow of water were considered. The symbolic software Mathematica was used in the present study. Different types of nanoparticles, different values of, nanoparticle volume fraction, Eckart and Prandtl number were tested and analyzed at different wall temperature. The effect of these parameters on the flow behaviour, the local skin friction coefficient, Nusselt number, the velocity and the temperature profiles were presented and investigated. It is concluded that these parameters affect the fluid flow behaviour and heat transfer parameters especially nanoparticle concentration. The presence of nanoparticles showed an enhancement in the heat transfer rate moreover its type has a significant effect on heat transfer enhancement.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Investigation of Forced Convective Heat Transfer in Nanofluids
AU  - Zain Fathy Abu Shaeer
AU  - Mofreh Hamada Hamed
Y1  - 2020/01/16
PY  - 2020
N1  - https://doi.org/10.11648/j.ie.20200401.11
DO  - 10.11648/j.ie.20200401.11
T2  - Industrial Engineering
JF  - Industrial Engineering
JO  - Industrial Engineering
SP  - 1
EP  - 6
PB  - Science Publishing Group
SN  - 2640-1118
UR  - https://doi.org/10.11648/j.ie.20200401.11
AB  - The present paper concerns a theoretical study of heat transfer of the laminar two dimensional flows of various nanofluids taking into account the dissipation due to viscous term past a 2-D flat plate had a different temperatures. The steady incompressible flow equations were used and transformed to a nonlinear Ordinary Differential Equation (ODE) using a similarity variable. These equations were solved numerically using implicit finite difference method in which the partial derivatives were replaced by appropriate central differences patterns and using Newton’s method to linearize the resulting algebraic equations. Finally, the block-tridiagonal-elimination technique was used to solve that linear system. Three types of nanoparticles namely, Cu-water, Al2O3-water, and TiO2-water in the base flow of water were considered. The symbolic software Mathematica was used in the present study. Different types of nanoparticles, different values of, nanoparticle volume fraction, Eckart and Prandtl number were tested and analyzed at different wall temperature. The effect of these parameters on the flow behaviour, the local skin friction coefficient, Nusselt number, the velocity and the temperature profiles were presented and investigated. It is concluded that these parameters affect the fluid flow behaviour and heat transfer parameters especially nanoparticle concentration. The presence of nanoparticles showed an enhancement in the heat transfer rate moreover its type has a significant effect on heat transfer enhancement.
VL  - 4
IS  - 1
ER  -

Copy | Download