From Euler to Navier-Stokes: A Spatial Analysis of Conceptual Changes in Nineteenth-century Fluid Dynamics
Författare
Summary, in English
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.
Avdelning/ar
Publiceringsår
2014
Språk
Engelska
Sidor
235-253
Publikation/Tidskrift/Serie
International Studies in the Philosophy of Science
Volym
28
Issue
3
Dokumenttyp
Artikel i tidskrift
Förlag
Taylor & Francis
Ämne
- Philosophy
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0269-8595