Laminar flow in axisymmetric conduits by a rational approach

Numerical and closed‐form solutions to laminar flow in regular polygonal conduits, star‐shaped conduits, and rectangular conduits are presented. Results by the present approach are shown to be more accurate and the computation to require less effort than conventional methods. The formal finite‐series solutions obtained through the present approach lend themselves to parametrization and to a judicious choice of computational schemes. In addition both analytical and numerical procedures yield exact solutions to flow in an equilateral and in an elliptic conduit. The present approach proves to be advantageous in its accuracy, generality, and simplicity.