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From Euler to Navier-Stokes: A Spatial Analysis of Conceptual Changes in Nineteenth-century Fluid Dynamics

Petersen, Graciana and Zenker, Frank LU (2014) In International Studies in the Philosophy of Science 28(3). p.235-253
Abstract
This article provides a spatial analysis of the conceptual framework of fluid dynamics during the nineteenth century, focusing on the transition from the Euler equation to the Navier-Stokes equation. A dynamic version of Peter Gardenfors's theory of conceptual spaces is applied which distinguishes changes of five types: addition and deletion of special laws; change of metric; change in importance; change in separability; addition and deletion of dimensions. The case instantiates all types but the deletion of dimensions. We also provide a new view upon limiting case reduction at the conceptual level that clarifies the relation between the predecessor and successor conceptual framework. The nineteenth-century development of fluid dynamics is... (More)
This article provides a spatial analysis of the conceptual framework of fluid dynamics during the nineteenth century, focusing on the transition from the Euler equation to the Navier-Stokes equation. A dynamic version of Peter Gardenfors's theory of conceptual spaces is applied which distinguishes changes of five types: addition and deletion of special laws; change of metric; change in importance; change in separability; addition and deletion of dimensions. The case instantiates all types but the deletion of dimensions. We also provide a new view upon limiting case reduction at the conceptual level that clarifies the relation between the predecessor and successor conceptual framework. The nineteenth-century development of fluid dynamics is argued to be an instance of normal science development. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Studies in the Philosophy of Science
volume
28
issue
3
pages
235 - 253
publisher
Taylor & Francis
external identifiers
  • wos:000346055600002
  • scopus:84919793144
ISSN
0269-8595
DOI
10.1080/02698595.2014.953341
language
English
LU publication?
yes
id
03ba1672-e66e-4940-98fc-5bed2edf7402 (old id 4965767)
date added to LUP
2015-01-27 16:17:19
date last changed
2017-11-12 03:42:40
@article{03ba1672-e66e-4940-98fc-5bed2edf7402,
  abstract     = {This article provides a spatial analysis of the conceptual framework of fluid dynamics during the nineteenth century, focusing on the transition from the Euler equation to the Navier-Stokes equation. A dynamic version of Peter Gardenfors's theory of conceptual spaces is applied which distinguishes changes of five types: addition and deletion of special laws; change of metric; change in importance; change in separability; addition and deletion of dimensions. The case instantiates all types but the deletion of dimensions. We also provide a new view upon limiting case reduction at the conceptual level that clarifies the relation between the predecessor and successor conceptual framework. The nineteenth-century development of fluid dynamics is argued to be an instance of normal science development.},
  author       = {Petersen, Graciana and Zenker, Frank},
  issn         = {0269-8595},
  language     = {eng},
  number       = {3},
  pages        = {235--253},
  publisher    = {Taylor & Francis},
  series       = {International Studies in the Philosophy of Science},
  title        = {From Euler to Navier-Stokes: A Spatial Analysis of Conceptual Changes in Nineteenth-century Fluid Dynamics},
  url          = {http://dx.doi.org/10.1080/02698595.2014.953341},
  volume       = {28},
  year         = {2014},
}