Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method

Gbeminiyi M. Sobamowo; Lawrence O. Jayesimi

doi:doi:10.11648/j.fm.20170306.11

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Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method

Gbeminiyi M. Sobamowo, Lawrence O. Jayesimi

Published in Fluid Mechanics (Volume 3, Issue 6)

Received: 16 October 2017 Accepted: 20 November 2017 Published: 27 December 2017

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Abstract

In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The results of the Chebychev spectral collocation method are in excellent agreement with the results of the convectional numerical method using Runge-Kutta coupled with shooting method. The findings in this work can be used to further study the squeezing ﬂow in applications such as power transmission, polymer processing and hydraulic lifts.

Published in	Fluid Mechanics (Volume 3, Issue 6)
DOI	10.11648/j.fm.20170306.11
Page(s)	54-60
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), 2017. Published by Science Publishing Group

Keywords

Nanofluid, Squeezing Flow, Slip Boundary, Magnetic Field, Chebychev Collocation Method

References

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APA Style

Gbeminiyi M. Sobamowo, Lawrence O. Jayesimi. (2017). Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method. Fluid Mechanics, 3(6), 54-60. https://doi.org/10.11648/j.fm.20170306.11

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ACS Style

Gbeminiyi M. Sobamowo; Lawrence O. Jayesimi. Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method. Fluid Mech. 2017, 3(6), 54-60. doi: 10.11648/j.fm.20170306.11

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AMA Style

Gbeminiyi M. Sobamowo, Lawrence O. Jayesimi. Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method. Fluid Mech. 2017;3(6):54-60. doi: 10.11648/j.fm.20170306.11

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@article{10.11648/j.fm.20170306.11,
  author = {Gbeminiyi M. Sobamowo and Lawrence O. Jayesimi},
  title = {Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method},
  journal = {Fluid Mechanics},
  volume = {3},
  number = {6},
  pages = {54-60},
  doi = {10.11648/j.fm.20170306.11},
  url = {https://doi.org/10.11648/j.fm.20170306.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20170306.11},
  abstract = {In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The results of the Chebychev spectral collocation method are in excellent agreement with the results of the convectional numerical method using Runge-Kutta coupled with shooting method. The findings in this work can be used to further study the squeezing ﬂow in applications such as power transmission, polymer processing and hydraulic lifts.},
 year = {2017}
}

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TY  - JOUR
T1  - Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method
AU  - Gbeminiyi M. Sobamowo
AU  - Lawrence O. Jayesimi
Y1  - 2017/12/27
PY  - 2017
N1  - https://doi.org/10.11648/j.fm.20170306.11
DO  - 10.11648/j.fm.20170306.11
T2  - Fluid Mechanics
JF  - Fluid Mechanics
JO  - Fluid Mechanics
SP  - 54
EP  - 60
PB  - Science Publishing Group
SN  - 2575-1816
UR  - https://doi.org/10.11648/j.fm.20170306.11
AB  - In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The results of the Chebychev spectral collocation method are in excellent agreement with the results of the convectional numerical method using Runge-Kutta coupled with shooting method. The findings in this work can be used to further study the squeezing ﬂow in applications such as power transmission, polymer processing and hydraulic lifts.
VL  - 3
IS  - 6
ER  -

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Author Information

Gbeminiyi M. Sobamowo

Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
Lawrence O. Jayesimi

Works and Physical Planning Department, University of Lagos, Akoka, Lagos, Nigeria

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APA Style

Gbeminiyi M. Sobamowo, Lawrence O. Jayesimi. (2017). Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method. Fluid Mechanics, 3(6), 54-60. https://doi.org/10.11648/j.fm.20170306.11

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ACS Style

Gbeminiyi M. Sobamowo; Lawrence O. Jayesimi. Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method. Fluid Mech. 2017, 3(6), 54-60. doi: 10.11648/j.fm.20170306.11

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AMA Style

Gbeminiyi M. Sobamowo, Lawrence O. Jayesimi. Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method. Fluid Mech. 2017;3(6):54-60. doi: 10.11648/j.fm.20170306.11

Copy | Download

@article{10.11648/j.fm.20170306.11,
  author = {Gbeminiyi M. Sobamowo and Lawrence O. Jayesimi},
  title = {Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method},
  journal = {Fluid Mechanics},
  volume = {3},
  number = {6},
  pages = {54-60},
  doi = {10.11648/j.fm.20170306.11},
  url = {https://doi.org/10.11648/j.fm.20170306.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20170306.11},
  abstract = {In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The results of the Chebychev spectral collocation method are in excellent agreement with the results of the convectional numerical method using Runge-Kutta coupled with shooting method. The findings in this work can be used to further study the squeezing ﬂow in applications such as power transmission, polymer processing and hydraulic lifts.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method
AU  - Gbeminiyi M. Sobamowo
AU  - Lawrence O. Jayesimi
Y1  - 2017/12/27
PY  - 2017
N1  - https://doi.org/10.11648/j.fm.20170306.11
DO  - 10.11648/j.fm.20170306.11
T2  - Fluid Mechanics
JF  - Fluid Mechanics
JO  - Fluid Mechanics
SP  - 54
EP  - 60
PB  - Science Publishing Group
SN  - 2575-1816
UR  - https://doi.org/10.11648/j.fm.20170306.11
AB  - In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The results of the Chebychev spectral collocation method are in excellent agreement with the results of the convectional numerical method using Runge-Kutta coupled with shooting method. The findings in this work can be used to further study the squeezing ﬂow in applications such as power transmission, polymer processing and hydraulic lifts.
VL  - 3
IS  - 6
ER  -

Copy | Download