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Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces

Published online by Cambridge University Press:  18 November 2005

PAOLO CERMELLI
Affiliation:
Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
ELIOT FRIED
Affiliation:
Department of Mechanical and Aerospace Engineering, Washington University in St. Louis, St Louis, MO 63130-4899, USA
MORTON E. GURTIN
Affiliation:
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213-3890, USA

Abstract

We establish transport relations for integrals over evolving fluid interfaces. These relations make it possible to localize integral balance laws over non-material interfaces separating fluid phases and, therefore, obtain associated interface conditions in differential form.

Type
Papers
Copyright
© 2005 Cambridge University Press

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