In this study, a simple and high accurate seriesbased method called differential transformation method
(DTM) is used for solving the coupled nonlinear differential equations in fluids’ mechanic problems. The concept of the DTM is briefly introduced, and its application
for two different cases, natural convection of a non-Newtonian fluid between two vertical plates and Newtonian
fluid flow between two horizontal plates, has been studied.
DTM results are compared with those obtained by another
series-based analytical technique namely homotopy perturbation method (HPM) and a numerical solution (Fourthorder Runge–Kutta) to show the accuracy of the proposed
method. Results reveal that DTM is very effective and convenient and can achieve more suitable results compared to
HPM in some areas of equations in engineering and science
problems
