Finite element analysis of incompressible viscous flow in a helical pipe
type: Item
instance of: scholarly article
title: Finite element analysis of incompressible viscous flow in a helical pipe
zbMATH Open document ID: 0615.76044
author: Yanyan Li
published in: Computational Mechanics
publication date: 1986-01-01T00:00:00Z
review text: This paper presents an accurate finite element procedure to deal with steady state, fully developed and incompressible viscous flow in helical pipes with arbitrary curvatures and torsions. The full Navier-Stokes equations and continuity equation have been explicitly derived using a non-orthogonal helical coordinate system. To obtain the final simultaneous nonlinear algebraic equations, a pressure-velocity finite element formulation is formulated based on the Galerkin method. The combined influence of finite curvature and finite torsion on the helical flow is studied. The secondary flow patterns and contours of axial velocity of helical flows show the significant distinction with those of toroidal flows. Further, the effect of torsion on flow rates can be neglected. Several numerical examples are presented. Excellent correlations between the computed results and available referenced solutions can be drawn.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3997387
zbMATH Keywords: bio-fluid-mechanics
zbMATH Keywords: blood flow
zbMATH Keywords: aorta
zbMATH Keywords: finite element procedure
zbMATH Keywords: steady state, fully developed and incompressible viscous flow
zbMATH Keywords: helical pipes
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: continuity equation
zbMATH Keywords: non-orthogonal helical coordinate system
zbMATH Keywords: nonlinear algebraic equations
zbMATH Keywords: pressure-velocity finite element formulation
zbMATH Keywords: Galerkin method
zbMATH Keywords: finite torsion
zbMATH Keywords: secondary flow
zbMATH Keywords: correlations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3997387