Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel

Hassan Anthony Rotimi; Gbadeyan Jacob Abiodun

doi:doi:10.11648/j.ajam.20140201.13

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Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel

Hassan Anthony Rotimi, Gbadeyan Jacob Abiodun

Published in American Journal of Applied Mathematics (Volume 2, Issue 1)

Received: 5 November 2013 Published: 20 February 2014

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Abstract

This study is conducted to investigate the thermal stability of a reactive Hydromagnetic Poiseuille fluid flow through a channel. It is assumed that the reaction is exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the material. The analytical solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using Adomian Decomposition Method (ADM) together with Pade Approximation technique to determine the thermal stability of the fluid flow and important properties of temperature fields including bi-furcations and thermal criticality conditions are discussed.

Published in	American Journal of Applied Mathematics (Volume 2, Issue 1)
DOI	10.11648/j.ajam.20140201.13
Page(s)	14-20
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

Thermal Stability, Adomian Decomposition Method (ADM), Pade Approximation, Chemical Kinetics and Hydromagnetic Fluid Flow

References

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[2]	Okoya S. S. (2006): Thermal stability for a Reactive Viscous Flow in a Slab, Mechanics research Communication 33, 728 – 733.
[3]	Herron I. H. and Soliman F. S. (2006): The Stability of Couette Flow in a Torodial Magnetic Field, Applied Mathematics Letters 19, 1113 – 1117.
[4]	Makinde O. D. and Maserumule M. (2010): Inherent Irreversibility and Thermal Stability for Steady Flow of a Variable Viscosity Liquid Film in a Cylindrical Pipe with Convective Cooling at the Surface, International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 20 No. 1, 5 – 16.
[5]	Adesanya S.O. (2013), Thermal Stability Analysis of a Reactive Hydromagnetic Third – Grade Fluid through a Channel with Convective Cooling, Journal of the Nigerian Mathematical Society Vol. 32, 61 – 72.
[6]	Makinde O. D. and Anwar Beg O. (2010): On inherent Irreversibility in a Reactive Hydromagnetic Channel Flow, Journal of Thermal Science Vol. 19 No. 1, 72 – 79.
[7]	Frank Kamenettsk D. A. (1969), Diffusion and heat transfer in chemical kinetics, plenum press, New York.
[8]	Wazwaz A. M. and El-Sayed ((2001)): A new modification of the Adomian decomposition Method for linear and nonlinear operators, Journal of Applied Maths Computation, 122, 393 – 405.
[9]	Hassan A. R. and Fenuga O.J. (2011), Flow of a Maxwell Fluid through a Porous Medium Induced by a constantly accelerating Plate, Journal of the Nigerian association of Mathematical Physics, Vol. 19, 249 – 254
[10]	Adesanya S. O. and Gbadeyan J. A. (2011): Adomian Decomposition approach to Steady visco – elastic Fluid flow with slip through a planer channel, International Journal of Nonlinear Science, Vol. 11, No. 1, 86 – 94.
[11]	Gbadeyan J.A. and Hassan A.R. (2012): Multiplicity of Solutions for a reactive variable viscous Couette flow under Arrhenius Kinetics, Mathematical Theory and Modelling, Vol. 2, No.9, 39 – 49
[12]	Hassan A. R and Gbadeyan J.A. (2013): The Effect of Heat Absorption on a Variable Viscosity Reactive Couette Flow under Arrhenius Kinetics, Theoretical Mathematics & Applications. Vol. 3, No.1 145 – 159
[13]	Adesanya S.O. and Ayeni R. O. (2011), Existence and Uniqueness Result for couple stress Bio – Fluid Flow Model via Adomian Decomposition Method, International Journal of Nonlinear Science, Vol. 12, No. 1, 16 – 24.

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APA Style

Hassan Anthony Rotimi, Gbadeyan Jacob Abiodun. (2014). Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel. American Journal of Applied Mathematics, 2(1), 14-20. https://doi.org/10.11648/j.ajam.20140201.13

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ACS Style

Hassan Anthony Rotimi; Gbadeyan Jacob Abiodun. Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel. Am. J. Appl. Math. 2014, 2(1), 14-20. doi: 10.11648/j.ajam.20140201.13

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AMA Style

Hassan Anthony Rotimi, Gbadeyan Jacob Abiodun. Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel. Am J Appl Math. 2014;2(1):14-20. doi: 10.11648/j.ajam.20140201.13

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@article{10.11648/j.ajam.20140201.13,
  author = {Hassan Anthony Rotimi and Gbadeyan Jacob Abiodun},
  title = {Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {1},
  pages = {14-20},
  doi = {10.11648/j.ajam.20140201.13},
  url = {https://doi.org/10.11648/j.ajam.20140201.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140201.13},
  abstract = {This study is conducted to investigate the thermal stability of a reactive Hydromagnetic Poiseuille fluid flow through a channel. It is assumed that the reaction is exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the material. The analytical solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using Adomian Decomposition Method (ADM) together with Pade Approximation technique to determine the thermal stability of the fluid flow and important properties of temperature fields including bi-furcations and thermal criticality conditions are discussed.},
 year = {2014}
}

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TY  - JOUR
T1  - Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel
AU  - Hassan Anthony Rotimi
AU  - Gbadeyan Jacob Abiodun
Y1  - 2014/02/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140201.13
DO  - 10.11648/j.ajam.20140201.13
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 14
EP  - 20
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140201.13
AB  - This study is conducted to investigate the thermal stability of a reactive Hydromagnetic Poiseuille fluid flow through a channel. It is assumed that the reaction is exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the material. The analytical solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using Adomian Decomposition Method (ADM) together with Pade Approximation technique to determine the thermal stability of the fluid flow and important properties of temperature fields including bi-furcations and thermal criticality conditions are discussed.
VL  - 2
IS  - 1
ER  -

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Author Information

Hassan Anthony Rotimi

Dept. of Mathematics, Tai Solarin University of Education, Ijagun, Ogun State, Nigeria
Gbadeyan Jacob Abiodun

Dept. of Mathematics, University of Ilorin, Ilorin, Nigeria

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APA Style

Hassan Anthony Rotimi, Gbadeyan Jacob Abiodun. (2014). Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel. American Journal of Applied Mathematics, 2(1), 14-20. https://doi.org/10.11648/j.ajam.20140201.13

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ACS Style

Hassan Anthony Rotimi; Gbadeyan Jacob Abiodun. Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel. Am. J. Appl. Math. 2014, 2(1), 14-20. doi: 10.11648/j.ajam.20140201.13

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AMA Style

Hassan Anthony Rotimi, Gbadeyan Jacob Abiodun. Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel. Am J Appl Math. 2014;2(1):14-20. doi: 10.11648/j.ajam.20140201.13

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@article{10.11648/j.ajam.20140201.13,
  author = {Hassan Anthony Rotimi and Gbadeyan Jacob Abiodun},
  title = {Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel},
  journal = {American Journal of Applied Mathematics},
  volume = {2},
  number = {1},
  pages = {14-20},
  doi = {10.11648/j.ajam.20140201.13},
  url = {https://doi.org/10.11648/j.ajam.20140201.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140201.13},
  abstract = {This study is conducted to investigate the thermal stability of a reactive Hydromagnetic Poiseuille fluid flow through a channel. It is assumed that the reaction is exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the material. The analytical solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using Adomian Decomposition Method (ADM) together with Pade Approximation technique to determine the thermal stability of the fluid flow and important properties of temperature fields including bi-furcations and thermal criticality conditions are discussed.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel
AU  - Hassan Anthony Rotimi
AU  - Gbadeyan Jacob Abiodun
Y1  - 2014/02/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajam.20140201.13
DO  - 10.11648/j.ajam.20140201.13
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 14
EP  - 20
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20140201.13
AB  - This study is conducted to investigate the thermal stability of a reactive Hydromagnetic Poiseuille fluid flow through a channel. It is assumed that the reaction is exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the material. The analytical solutions of the nonlinear dimensionless equations governing the fluid flow are obtained using Adomian Decomposition Method (ADM) together with Pade Approximation technique to determine the thermal stability of the fluid flow and important properties of temperature fields including bi-furcations and thermal criticality conditions are discussed.
VL  - 2
IS  - 1
ER  -

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