Analyzing the Fluid Motion through Network Profiles Using the Boundary Element Method

In this paper we present a calculus algorithm for the study of the compressible fluid’s stationary motion through profile grids, on an axial–symmetric flow–surface, in variable thickness of stratum. We show the applicability of the boundary element method (BEM) with real values, and the possibility of solving the integral equation of the velocity potential by using the successive approximation method w.r.t. the fluid’s density and the thickness variation of fluid stratum. In our approach the derivatives of the velocity potential are calculated by employing the Lagrange interpolation formula through five points.