Some remarks on ``Useful theorems for the second order fluid''
type: Item
instance of: scholarly article
title: Some remarks on ``Useful theorems for the second order fluid''
zbMATH Open document ID: 0675.76008
DOI: 10.1016/0377-0257(89)80016-3
author: P. N. Kaloni
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1989-01-01T00:00:00Z
review text: The theorems referred to in the title are from the monograph ``Dynamics of Polymeric Liquids. Vol. I. Fluid mechanics'' [Chichester, Sussex, England: Wiley (1977)] by \textit{R. B. Bird}, \textit{R. C. Armstrong}, and \textit{O. Hassager}, and state that velocity and pressure fields that satisfy the equations for creeping (planar) flow of incompressible Newtonian liquids also satisfy the corresponding equations for incompressible second order fluids. The author points out that in general there is no one-to-one correspondence between such solutions, since for second order fluids additional boundary conditions have to be specified. This is illustrated by a discussion of axial flows between concentric pipes with suction and of flows about rotating coaxial cylinders with suction.
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 4106431
zbMATH Keywords: creeping (planar) flow
zbMATH Keywords: incompressible Newtonian liquids
zbMATH Keywords: incompressible second order fluids
zbMATH Keywords: boundary conditions
zbMATH Keywords: axial flows between concentric pipes
zbMATH Keywords: flows about rotating coaxial cylinders with suction
reviewed by: Hans Engler
MaRDI profile type: Publication
full work available at URL: 0377-0257(89)80016-3
OpenAlex ID: W1981693838
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description: scientific article; zbMATH DE number 4106431