Scientific Computation of Rotating Annular Flow of Newtonian Fluid

Abstract

A finite element numerical schemes presented in pseudo three–dimensions to simulate the isothermal flow of incompressible Newtonian fluid. The problem addressed in this research work is an annular pipe with fixed outer pipe and rotating inner cylinder, which has numerous industrial importance. For primitive variables a full Navier–Stokes equation computed in a cylindrical polar co–ordinate system. Whereas, domain is discredited in two–dimensions. The time derivative is discredited through multi step Taylor series expansion. Numerical scheme adopted is Taylor–Galerk in with combination of second order pressure– correction method in its semi–implicit form. The main focus of this article is to analyse rotating flow through annular configurator domain. Flow structure is presented through velocity vector field and pressure distribution to investigate impact of rotation of inner cylinder and effects of increasing inertia. Predicted numerical results on pseudo three–dimensional algorithm, found in good agreement with other numerical and experimental solutions.