On the creeping flow of the second-order fluid
type: Item
instance of: scholarly article
title: On the creeping flow of the second-order fluid
zbMATH Open document ID: 0568.76015
DOI: 10.1016/0377-0257(84)80008-7
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1984-01-01T00:00:00Z
review text: This interesting short note investigates the Giesekus-Tanner theorem[cf. \textit{H. Giesekus}, Rheol. Acta 4, 59 ff (1963) and \textit{R. I. Tanner}, Phys. Fluids 9, 1246 ff (1966)]. Concerning creeping flow of second-order incompressible fluids. It addresses itself to two specific question and answers them by providing two concrete examples, namely (a) second-order fluid solution where no Newtonian creeping flow solution exists, (b) three-dimensional creeping flow solution not satisfying second-order fluid equation. The conclusions are expressed by three theorems. There remains some minor criticism of the note, for example, boundary conditions (II) need to be corrected if the author insists to use vectorial form, the equation numbered (5) seems to be missing as also Fig. 2 (cf. page no. 244).
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 3907984
zbMATH Keywords: Giesekus-Tanner theorem
zbMATH Keywords: creeping flow
zbMATH Keywords: second-order incompressible fluids
author: K. R. Rajagopal
MaRDI profile type: Publication
full work available at URL: 0377-0257(84)80008-7
OpenAlex ID: W1977671057
Wikidata QID: Q127621982
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description: scientific article; zbMATH DE number 3907984