Laminar flow inside annular sector ducts

Abstract

In this work was performed a hybrid analytical-numerical solution to hydrodynamic problem of fully developed Newtonian laminar flow inside annular sector ducts employing the Generalized Integral Transform Technique (GITT). In order to facilitate the analytical treatment and the application of the boundary conditions, a Conformal Transform was used to change the domain into a more suitable coordinate system. Thereafter, the GITT was applied on the momentum equation to obtain the velocity field. Numerical results were obtained for quantities of practical interest, such as maximum and minimum velocity, Fanning friction factor, Poiseuille number, Hagenbach factor and hydrodynamic entry length. These results were compared, as much as possible, with the parameter values available in the literature and they presented a great agreement.