Stokes flow in a curved duct - A Ritz method

Fully-developed slow viscous flow in a curved duct of arbitrary curvature is solved by an efficient Ritz variational method. For a duct of rectangular cross section the Ritz results agrees well with those obtained by a Fourier-Bessel expansion. The Ritz method is then applied to the elliptic cross section. The fluid properties for Stokes flow in a curved duct are discussed. (C) 2011 Elsevier Ltd. All rights reserved.