Moving regions in Euclidean space and Reynolds' transport theorem
(2011) In Mathematics and Mechanics of Solids 16(4). p.366-380- Abstract
- This paper gives new demonstrations of Reynolds' transport theorems for moving regions in Euclidean space. For moving volume regions the proof is based on differential forms and Stokes' formula. Moving curves and surface regions are defined and the intrinsic normal time derivative is introduced. The corresponding surface transport theorem is derived using the partition of unity and the surface divergence theorem. A proof of the surface divergence theorem is also given.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1984824
- author
- Lidström, Per LU
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- moving regions, Reynolds' transport theorem
- in
- Mathematics and Mechanics of Solids
- volume
- 16
- issue
- 4
- pages
- 366 - 380
- publisher
- SAGE Publications
- external identifiers
-
- wos:000291587900002
- scopus:79959311789
- ISSN
- 1741-3028
- DOI
- 10.1177/1081286510393805
- language
- English
- LU publication?
- yes
- id
- fad3fd3b-2226-4add-8a5e-09911039a76d (old id 1984824)
- date added to LUP
- 2016-04-01 10:25:56
- date last changed
- 2022-03-27 08:11:27
@article{fad3fd3b-2226-4add-8a5e-09911039a76d, abstract = {{This paper gives new demonstrations of Reynolds' transport theorems for moving regions in Euclidean space. For moving volume regions the proof is based on differential forms and Stokes' formula. Moving curves and surface regions are defined and the intrinsic normal time derivative is introduced. The corresponding surface transport theorem is derived using the partition of unity and the surface divergence theorem. A proof of the surface divergence theorem is also given.}}, author = {{Lidström, Per}}, issn = {{1741-3028}}, keywords = {{moving regions; Reynolds' transport theorem}}, language = {{eng}}, number = {{4}}, pages = {{366--380}}, publisher = {{SAGE Publications}}, series = {{Mathematics and Mechanics of Solids}}, title = {{Moving regions in Euclidean space and Reynolds' transport theorem}}, url = {{http://dx.doi.org/10.1177/1081286510393805}}, doi = {{10.1177/1081286510393805}}, volume = {{16}}, year = {{2011}}, }