Determination of separated region in a curved tube
type: Item
instance of: scholarly article
title: Determination of separated region in a curved tube
zbMATH Open document ID: 0606.76049
DOI: 10.1007/BF01895457
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1981-01-01T00:00:00Z
review text: This paper deals with the steady laminar motion of an incompressible Newtonian fluid through a curved tube with circular cross-section whose curvature is small and whose curvature gradient is not too large. Using the momentum integral method and the approximation of quasi-constant curvature, an equation which determines the location of separation and reattachment is derived. From this equation the earliest point of separation and the corresponding critical Reynolds number are obtained, and the relation between the position of separation and reattachment and Reynolds number \(R_ e\) for different azimuthal angle are revealed.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 92B05
zbMATH DE Number: 3980748
zbMATH Keywords: steady laminar motion
zbMATH Keywords: incompressible Newtonian fluid
zbMATH Keywords: curved tube
zbMATH Keywords: circular cross-section
zbMATH Keywords: momentum integral method
zbMATH Keywords: quasi-constant curvature
zbMATH Keywords: location of separation
zbMATH Keywords: reattachment
zbMATH Keywords: point of separation
author: Wangyi Wu
author: Gong-Bi Wen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3980748