A boundary integral equation and its numerical solution of potential flow around surface irregularities (Q686681)

Using complex function theory, the authors turn the problem of potential flow around the surface irregularities in a pressure conduit and semi- infinite platforms into Dirichlet problem. Based on Schwarz formula and by the application of Plemelj's formula, the authors change the problem into the integration of a Cauchy boundary integral equation in the flow plane thorugh the substitution of variables. Using numerical integration, the authors obtain the velocity distribution and pressure coefficient along surface irregularities and platforms.