### Abstract

An analysis is carried out to study the steady state solutions of a strongly exothermic reaction of a power law combustible fluid in a cylindrical pipe under Arrhenius kinetics. The problem is formulated in term of non-linear differential equations. Exact solution for velocity profile is constructed from non-linear momentum equation, while approximate solution for non-linear energy equation is obtained by using Homotopy perturbation method. In order to obtain a clear insight of the physical problem, the velocity and temperature behaviors are discussed for different dimensionless parameters involved in the governing equations. Graphical representations and discussions are also presented.

Original language | English (US) |
---|---|

Pages (from-to) | 7037-7051 |

Number of pages | 15 |

Journal | Applied Mathematical Sciences |

Volume | 7 |

Issue number | 141-144 |

DOIs | |

State | Published - 2013 |

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### All Science Journal Classification (ASJC) codes

- Applied Mathematics

### Cite this

*Applied Mathematical Sciences*,

*7*(141-144), 7037-7051. https://doi.org/10.12988/ams.2013.36316

}

*Applied Mathematical Sciences*, vol. 7, no. 141-144, pp. 7037-7051. https://doi.org/10.12988/ams.2013.36316

**Steady flow of reactive power law fluid in a cylindrical pipe with an isothermal wall.** / Siddiqui, Abdul M.; Haroon, T.; Jan, S. U.; Babcock, B. S.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Steady flow of reactive power law fluid in a cylindrical pipe with an isothermal wall

AU - Siddiqui, Abdul M.

AU - Haroon, T.

AU - Jan, S. U.

AU - Babcock, B. S.

PY - 2013

Y1 - 2013

N2 - An analysis is carried out to study the steady state solutions of a strongly exothermic reaction of a power law combustible fluid in a cylindrical pipe under Arrhenius kinetics. The problem is formulated in term of non-linear differential equations. Exact solution for velocity profile is constructed from non-linear momentum equation, while approximate solution for non-linear energy equation is obtained by using Homotopy perturbation method. In order to obtain a clear insight of the physical problem, the velocity and temperature behaviors are discussed for different dimensionless parameters involved in the governing equations. Graphical representations and discussions are also presented.

AB - An analysis is carried out to study the steady state solutions of a strongly exothermic reaction of a power law combustible fluid in a cylindrical pipe under Arrhenius kinetics. The problem is formulated in term of non-linear differential equations. Exact solution for velocity profile is constructed from non-linear momentum equation, while approximate solution for non-linear energy equation is obtained by using Homotopy perturbation method. In order to obtain a clear insight of the physical problem, the velocity and temperature behaviors are discussed for different dimensionless parameters involved in the governing equations. Graphical representations and discussions are also presented.

UR - http://www.scopus.com/inward/record.url?scp=84891641261&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84891641261&partnerID=8YFLogxK

U2 - 10.12988/ams.2013.36316

DO - 10.12988/ams.2013.36316

M3 - Article

VL - 7

SP - 7037

EP - 7051

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 141-144

ER -