OHAM and FEM solutions of concentric n-layer flows of incompressible third-grade fluids in a horizontal cylindrical pipe

This paper examines the concentric n-layer flows for incompressible third-grade fluids through a horizontal cylindrical pipe. Such flows of multilayer fluids have a wide variety of applications in petroleum and chemical industries. The approximate solutions for velocity fields of multilayer flows are presented by the application of optimal homotopy asymptotic method and Galerkin’s finite element method. Further, it is shown that a unique maximum velocity always exists in the core of the pipe for any number of fluid layers. The effects of suitable parameters on the velocity profiles are presented graphically for multilayer flows.