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

作者：Domairry G^*; Ziabakhsh Z; Ganji H Doumiri; Habibi Modil

来源：Meccanica, 2013, 48(4): 875-886.

DOI：10.1007/s11012-012-9640-4

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

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.

• 出版日期2013-5