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:
https://lup.lub.lu.se/record/4965767
- author
- Petersen, Graciana
and Zenker, Frank
LU
- organization
- publishing date
- 2014
- 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
- 2016-04-01 14:03:11
- date last changed
- 2025-10-14 08:58:14
@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}},
doi = {{10.1080/02698595.2014.953341}},
volume = {{28}},
year = {{2014}},
}