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

Abstract

This paper employs the dierential transformation method to investigate two nonlinear ordinary dierential systems for plane coquette ow having variable viscosity and thermal conductivity. The concept of dierential transformation is briey introduced, and then dierential transformation method is employed to derive solutions of nonlinear equation systems. The results of dierential transformation method are compared with those ones obtained by Adomian decomposition method to verify the accuracy of proposed method. The results reveal that the dierential transformation method can achieve suitable results in predicting the solution of such problems.