The inlet effect on the drag factor of a sphere in a tube
type: Item
instance of: scholarly article
title: The inlet effect on the drag factor of a sphere in a tube
zbMATH Open document ID: 0588.76055
DOI: 10.1007/BF03250494
author: Richard Skalak
author: Wangyi Wu
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1985-01-01T00:00:00Z
review text: The creeping motion around a sphere situated axisymmetrically near the entrance of a semi-infinite circular cylindrical tube is analyzed using infinite series solutions for the velocity components, pressure and the stream function. Truncating the infinite series, the corresponding coefficients in the series are determined by a collocation technique. The drag factor and the stress distribution on the surface of the sphere are calculated for the sphere in motion in quiescent fluid and for the flow with uniform velocity at the entrance past a rigidly held sphere. The results indicate that a sphere near the entrance which has a uniform entrance velocity profile will suffer larger drag than that in an infinite tube. The convergence of the collocation technique is tested by numerical calculation. It is shown that the technique has good convergence properties.
Mathematics Subject Classification ID: 76D10
zbMATH DE Number: 3945660
zbMATH Keywords: creeping motion around a sphere
zbMATH Keywords: semi-infinite circular cylindrical tube
zbMATH Keywords: infinite series solutions
zbMATH Keywords: collocation technique
zbMATH Keywords: drag factor
zbMATH Keywords: stress distribution on the surface
zbMATH Keywords: uniform entrance velocity profile
zbMATH Keywords: convergence of the collocation technique
MaRDI profile type: Publication
cites work: A semi-analytical method for structure-internal liquid interaction problems
cites work: Viscous flow in a cylindrical tube containing a line of spherical particles
cites work: Stokes flow past finite coaxial clusters of spheres in a circular cylinder
cites work: Q3753663
full work available at URL: https://doi.org/10.1007/bf03250494
OpenAlex ID: W2030450923
description: scientific article; zbMATH DE number 3945660