Finite element calculations of flow past a spherical bubble rising on the axis of a cylindrical tube
type: Item
instance of: scholarly article
title: Finite element calculations of flow past a spherical bubble rising on the axis of a cylindrical tube
zbMATH Open document ID: 0811.76037
DOI: 10.1007/BF00942750
author: G. P. Hartholt
author: L. P. B. M. Janssen
author: H. W. Hoogstraten
author: J. H. Moes
author: Alex Christian Hoffmann
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1995-05-03T00:00:00Z
review text: The velocity and pressure fields of a Newtonian fluid with homogeneous and constant physical properties flowing around a sphere on the axis of a cylindrical tube with no slip, free slip and partial slip at the sphere surface and no slip at the cylinder wall have been calculated by solving the Navier-Stokes equations and the continuity equation using the finite element technique with the penalty function method. Finally, the influence of the presence of a cylindrical wall on the drag force has been determined and a new empirical equation is derived for the wall correction factor for a sphere rising with free slip at its surface at low Reynolds number.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 696956
zbMATH Keywords: slip
zbMATH Keywords: free slip
zbMATH Keywords: partial slip
zbMATH Keywords: penalty function method
zbMATH Keywords: influence
zbMATH Keywords: cylindrical wall
zbMATH Keywords: drag force
zbMATH Keywords: wall correction factor
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00942750
OpenAlex ID: W2057784320
description: scientific article; zbMATH DE number 696956