INTEGRAL TRANSFORM ANALYSIS OF FLOW DEVELOPMENT IN PARALLEL-PLATES DUCTS

The so-called Generalized Integral Transform Technique (GITT) is employed in the analysis of two-dimensional laminar flow in the entrance region of parallel-plates ducts. A formulation in terms of primitive variables is adopted and, expansions for the velocity field are proposed in such way that the continuity equation is automatically satisfied, after that the integral transformation process leads to a coupled system of ordinary differential equations formulation similar to one when the streamfunction formulation is employed. Results for the velocity and the product of the friction factor-Reynolds number are computed and critically compared with those in the literature.