An efficient green element formulation for the Graetz problem

We propose an efficient Green element method (GEM) technique for the solution of the generalized Graetz problem. The main point is to illustrate how GEM concepts can be adapted to handle heat or mass transport in tube flow; with axial conduction first ignored but later included. Several numerical examples are tested to demonstrate this numerical approach; for all cases, it is seen that GEM offers an elegant and in comparison with the problem difficulty, a reliable and straightforward approach.