An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method

U. Filobello-Nino; H. Vazquez-Leal; A. Perez-Sesma; J. Cervantes-Perez; V. M. Jimenez-Fernandez; L. Hernandez-Martinez; D. Pereyra-Diaz; R. Castaneda-Sheissa; J. Sanchez-Orea; C. Hoyos-Reyes; S. F. Hernandez-Machuca; J. Huerta-Chua; J. L. Rocha-Fernandez; A. D. Contreras-Hernandez; J. M. Mendez-Perez

doi:doi:10.11648/j.acm.20140301.16

An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method

U. Filobello-Nino, H. Vazquez-Leal, A. Perez-Sesma, J. Cervantes-Perez, V. M. Jimenez-Fernandez, L. Hernandez-Martinez, D. Pereyra-Diaz, R. Castaneda-Sheissa, J. Sanchez-Orea, C. Hoyos-Reyes, S. F. Hernandez-Machuca, J. Huerta-Chua, J. L. Rocha-Fernandez, A. D. Contreras-Hernandez, J. M. Mendez-Perez

Published in Applied and Computational Mathematics (Volume 3, Issue 1)

Received: 19 February 2014 Published: 10 March 2014

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Abstract

This article proposes Perturbation Method (PM) to find an approximate solution for the problem of an axis symmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore that PM is efficient.

Published in	Applied and Computational Mathematics (Volume 3, Issue 1)
DOI	10.11648/j.acm.20140301.16
Page(s)	38-42
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), 2014. Published by Science Publishing Group

Keywords

Mixed Boundary Conditions, Nonlinear Differential Equation, Perturbation Method, Approximate Solutions

References

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U. Filobello-Nino, H. Vazquez-Leal, A. Perez-Sesma, J. Cervantes-Perez, V. M. Jimenez-Fernandez, et al. (2014). An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method. Applied and Computational Mathematics, 3(1), 38-42. https://doi.org/10.11648/j.acm.20140301.16

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ACS Style

U. Filobello-Nino; H. Vazquez-Leal; A. Perez-Sesma; J. Cervantes-Perez; V. M. Jimenez-Fernandez, et al. An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method. Appl. Comput. Math. 2014, 3(1), 38-42. doi: 10.11648/j.acm.20140301.16

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AMA Style

U. Filobello-Nino, H. Vazquez-Leal, A. Perez-Sesma, J. Cervantes-Perez, V. M. Jimenez-Fernandez, et al. An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method. Appl Comput Math. 2014;3(1):38-42. doi: 10.11648/j.acm.20140301.16

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@article{10.11648/j.acm.20140301.16,
  author = {U. Filobello-Nino and H. Vazquez-Leal and A. Perez-Sesma and J. Cervantes-Perez and V. M. Jimenez-Fernandez and L. Hernandez-Martinez and D. Pereyra-Diaz and R. Castaneda-Sheissa and J. Sanchez-Orea and C. Hoyos-Reyes and S. F. Hernandez-Machuca and J. Huerta-Chua and J. L. Rocha-Fernandez and A. D. Contreras-Hernandez and J. M. Mendez-Perez},
  title = {An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {1},
  pages = {38-42},
  doi = {10.11648/j.acm.20140301.16},
  url = {https://doi.org/10.11648/j.acm.20140301.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140301.16},
  abstract = {This article proposes Perturbation Method (PM) to find an approximate solution for the problem of an axis symmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore that PM is efficient.},
 year = {2014}
}

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TY  - JOUR
T1  - An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method
AU  - U. Filobello-Nino
AU  - H. Vazquez-Leal
AU  - A. Perez-Sesma
AU  - J. Cervantes-Perez
AU  - V. M. Jimenez-Fernandez
AU  - L. Hernandez-Martinez
AU  - D. Pereyra-Diaz
AU  - R. Castaneda-Sheissa
AU  - J. Sanchez-Orea
AU  - C. Hoyos-Reyes
AU  - S. F. Hernandez-Machuca
AU  - J. Huerta-Chua
AU  - J. L. Rocha-Fernandez
AU  - A. D. Contreras-Hernandez
AU  - J. M. Mendez-Perez
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PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140301.16
DO  - 10.11648/j.acm.20140301.16
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 38
EP  - 42
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140301.16
AB  - This article proposes Perturbation Method (PM) to find an approximate solution for the problem of an axis symmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore that PM is efficient.
VL  - 3
IS  - 1
ER  -

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Author Information

U. Filobello-Nino

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
H. Vazquez-Leal

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
A. Perez-Sesma

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
J. Cervantes-Perez

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
V. M. Jimenez-Fernandez

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
L. Hernandez-Martinez

Electronics Department, National Institute for Astrophysics, Optics and Electronics, Sta. Maria Tonantzintla, Puebla, Mexico
D. Pereyra-Diaz

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
R. Castaneda-Sheissa

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
J. Sanchez-Orea

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
C. Hoyos-Reyes

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
S. F. Hernandez-Machuca

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
J. Huerta-Chua

Civil Engineering School, University of Veracruz, Poza Rica, Veracruz, Mexico
J. L. Rocha-Fernandez

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
A. D. Contreras-Hernandez

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico
J. M. Mendez-Perez

Electronic Instrumentation Faculty, University of Veracruz, Circuito Gonzalo Aguirre Beltran s/n, Xalapa, Veracruz, Mexico

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APA Style

U. Filobello-Nino, H. Vazquez-Leal, A. Perez-Sesma, J. Cervantes-Perez, V. M. Jimenez-Fernandez, et al. (2014). An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method. Applied and Computational Mathematics, 3(1), 38-42. https://doi.org/10.11648/j.acm.20140301.16

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ACS Style

U. Filobello-Nino; H. Vazquez-Leal; A. Perez-Sesma; J. Cervantes-Perez; V. M. Jimenez-Fernandez, et al. An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method. Appl. Comput. Math. 2014, 3(1), 38-42. doi: 10.11648/j.acm.20140301.16

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AMA Style

U. Filobello-Nino, H. Vazquez-Leal, A. Perez-Sesma, J. Cervantes-Perez, V. M. Jimenez-Fernandez, et al. An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method. Appl Comput Math. 2014;3(1):38-42. doi: 10.11648/j.acm.20140301.16

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@article{10.11648/j.acm.20140301.16,
  author = {U. Filobello-Nino and H. Vazquez-Leal and A. Perez-Sesma and J. Cervantes-Perez and V. M. Jimenez-Fernandez and L. Hernandez-Martinez and D. Pereyra-Diaz and R. Castaneda-Sheissa and J. Sanchez-Orea and C. Hoyos-Reyes and S. F. Hernandez-Machuca and J. Huerta-Chua and J. L. Rocha-Fernandez and A. D. Contreras-Hernandez and J. M. Mendez-Perez},
  title = {An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method},
  journal = {Applied and Computational Mathematics},
  volume = {3},
  number = {1},
  pages = {38-42},
  doi = {10.11648/j.acm.20140301.16},
  url = {https://doi.org/10.11648/j.acm.20140301.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140301.16},
  abstract = {This article proposes Perturbation Method (PM) to find an approximate solution for the problem of an axis symmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore that PM is efficient.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method
AU  - U. Filobello-Nino
AU  - H. Vazquez-Leal
AU  - A. Perez-Sesma
AU  - J. Cervantes-Perez
AU  - V. M. Jimenez-Fernandez
AU  - L. Hernandez-Martinez
AU  - D. Pereyra-Diaz
AU  - R. Castaneda-Sheissa
AU  - J. Sanchez-Orea
AU  - C. Hoyos-Reyes
AU  - S. F. Hernandez-Machuca
AU  - J. Huerta-Chua
AU  - J. L. Rocha-Fernandez
AU  - A. D. Contreras-Hernandez
AU  - J. M. Mendez-Perez
Y1  - 2014/03/10
PY  - 2014
N1  - https://doi.org/10.11648/j.acm.20140301.16
DO  - 10.11648/j.acm.20140301.16
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 38
EP  - 42
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20140301.16
AB  - This article proposes Perturbation Method (PM) to find an approximate solution for the problem of an axis symmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore that PM is efficient.
VL  - 3
IS  - 1
ER  -

Copy | Download