Application of the DTM to Nonlinear Cases Arising in Fluid Flows with Variable Viscosity

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.