Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method

e boundary layer equation of the pseudoplastic uid over a at plate is considered. is equation is a boundary value problem (BVP) with the high nonlinearity and a boundary condition at innity. To solve such problems, powerful numerical techniques are usually used. Here, through using di erential transform method (DTM), the BVP is replaced by two initial value problems (IVP) and then multi-step di erential transform method (MDTM) is applied to solve them. e di erential equation and its boundary conditions are transformed to a set of algebraic equations, and the Taylor series of solution is calculated in every sub domain. In this solution, there is no need for restrictive assumptions or linearization. Finally, DTM results are compared with the numerical solution of the problem, and a good accuracy of the proposed method is observed.

Differential transform method Nonlinear fin Thermal conductivity Temperature distribution