Numerical studies of slow viscous rotating flow past a sphere. II

Abstract

AbstractThe Navier–Stokes equations, which are the governing equations for a steady, viscous, incompressible fluid rotating about the z‐axis with angular velocity ω, are linearized using the Oseen approximation. Two parameters, namely the Reynolds number Re = Ua/v and Reω = 2ωa2/v (the Reynolds number w.r.t. rotation), enter the linearized equations. These equations are solved by the Peaceman–Rachford ADI method and the resulting algebraic equations are solved by the SOR method. Streamlines are plotted and compared with the Oseen solution for the non‐rotating case. The magnitude of the vorticity vector with increasing θ is also plotted.