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A finite element analysis of the steady laminar entrance flow in a 90° curved tube
Authors:F. N. Van De Vosse  A. A. Van Steenhoven  A. Segal  J. D. Janssen
Abstract:A standard Galerkin finite element penalty function method is used to approximate the solution of the three-dimensional Navier–Stokes equations for steady incompressible Newtonian entrance flow in a 90° curved tube (curvature ratio δ = 1/6) for a triple of Dean numbers (κ = 41, 122 and 204). The computational results for the intermediate Dean number (κ = 122) are compared with the results of laser–Doppler velocity measurements in an equivalent experimental model. For both the axial and secondary velocity components, fair agreement between the computational and experimental results is found.
Keywords:Curved pipe flow  Entrance flow  Finite element method  Penalty function method  Experimental validation
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