Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session Q26: General Fluid Dynamics: Theory and Mathematical Methods
12:50 PM–3:26 PM,
Tuesday, November 20, 2018
Georgia World Congress Center Room: B314
Chair: Anatoli Tumin, University of Arizona
Abstract: Q26.00003 : Impulse and material symmetry
1:16 PM–1:29 PM
The balance of material momentum, also known as impulse or pseudomomentum, arises from material (relabeling) symmetry. We will present a brief overview of the history of this balance law of continuum mechanics, and discuss it in the context of an ideal fluid. It will be shown that Kelvin’s circulation theorem, Cauchy’s invariants, Weber’s integral, and other related quantities follow from this balance law, as do correspondences between seemingly disparate concepts such as circulation and the J-integral of fracture mechanics.
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