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Moving regions in Euclidean space and Reynolds' transport theorem

På svenska

Author

Summary, in English

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.

Department/s

Publishing year

2011

Language

English

Pages

366-380

Publication/Series

Mathematics and Mechanics of Solids

Volume

16

Issue

4

Document type

Journal article

Publisher

SAGE Publications

Topic

  • Applied Mechanics

Keywords

  • moving regions
  • Reynolds' transport theorem

Status

Published

ISBN/ISSN/Other

  • ISSN: 1741-3028