, Volume 48, Issue 4, pp 875–886 | Cite as

Approximate solution of non-Newtonian viscoelastic fluid flow on a turbine disc for cooling purposes by using Adomian decomposition method

  • G. Domairry
  • Z. Ziabakhsh
  • H. Doumiri Ganji
  • Modil Habibi


In this work, a powerful semi-analytical method, called Adomian decomposition method (ADM) is introduced to obtain the exact solution of heat transfer equation of a non-Newtonian fluid flow in an axisymmetric channel with a porous wall which is useful for turbine cooling applications. This method is employed to obtain the expressions for velocity and temperature fields. Then, the influence of the two dimensionless numbers: the Prandtl number (Pr) and the Reynolds number (Re) for the dynamic forces have been considered. Comparisons are made between the numerical method (NM) solution, Homotopy perturbation method (HPM), Variation iteration method (VIM) and the results of Adomian decomposition method (ADM). The results reveal that this method is very effective and simple and can be applied for other nonlinear problems.


Adomian decomposition method (ADM) Numerical method (NM) Viscoelastic fluid Non-Newtonian fluid Heat transfer 



Adomian decomposition method


Variational iteration method


Numerical method


Homotopy perturbation method




Rate of heat transfer


Reynolds number


Dimensionless velocity


Prandtl number


Thermal conductivity




Specific heat


Linear parameter


Nonlinear parameter

Greek symbols


Fluid density


Kinematic viscosity


Stress matrix


Dissipation function


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • G. Domairry
    • 1
  • Z. Ziabakhsh
    • 1
  • H. Doumiri Ganji
    • 2
  • Modil Habibi
    • 1
  1. 1.Department of Mechanical EngineeringBabol University of TechnologyBabolIran
  2. 2.Young Researchers club, Science and Research BranchIslamic Azad UniversityTehranIran

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