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

Abdul M. Siddiqui, T. Haroon, S. U. Jan, B. S. Babcock

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)7037-7051
Number of pages15
JournalApplied Mathematical Sciences
Volume7
Issue number141-144
DOIs
StatePublished - 2013

Fingerprint

Power-law Fluid
Steady flow
Steady Flow
Reactive power
Pipe
Exothermic reactions
Fluids
Homotopy Perturbation Method
Graphical Representation
Steady-state Solution
Velocity Profile
Dimensionless
Nonlinear Differential Equations
Governing equation
Momentum
Approximate Solution
Differential equations
Exact Solution
Kinetics
Term

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

Siddiqui, Abdul M. ; Haroon, T. ; Jan, S. U. ; Babcock, B. S. / Steady flow of reactive power law fluid in a cylindrical pipe with an isothermal wall. In: Applied Mathematical Sciences. 2013 ; Vol. 7, No. 141-144. pp. 7037-7051.
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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.

In: Applied Mathematical Sciences, Vol. 7, No. 141-144, 2013, p. 7037-7051.

Research output: Contribution to journalArticle

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