Application of the DTM to Nonlinear Cases Arising in Fluid Flows with Variable Viscosity
A. Bararia, M. Rahimi b, M.J. Hosseinib and L.B. Ibsena
aDepartment of Civil Engineering, Aalborg University, SohngÄrdsholmsvej 57, Aalborg 9000, Aalborg, Denmark
bDepartment of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran
Received: May 19, 2011; in final form May 14, 2012
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This paper employs the differential transformation method to investigate two nonlinear ordinary differential systems for plane coquette flow having variable viscosity and thermal conductivity. The concept of differential transformation is briefly introduced, and then differential transformation method is employed to derive solutions of nonlinear equation systems. The results of differential transformation method are compared with those ones obtained by Adomian decomposition method to verify the accuracy of proposed method. The results reveal that the differential transformation method can achieve suitable results in predicting the solution of such problems.
DOI: 10.12693/APhysPolA.122.96
PACS numbers: 47.35.Pq, 42.65.Wi