Helmholtz decomposition coupling rotational to irrotational flow of a viscous fluid

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Helmholtz decomposition coupling rotational to irrotational flow of a viscous fluid.

In this work, I present the form of the Navier-Stokes equations implied by the Helmholtz decomposition in which the relation of the irrotational and rotational velocity fields is made explicit. The idea of self-equilibration of irrotational viscous stresses is introduced. The decomposition is constructed by first selecting the irrotational flow compatible with the flow boundaries and other pres...

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ژورنال

عنوان ژورنال: Proceedings of the National Academy of Sciences

سال: 2006

ISSN: 0027-8424,1091-6490

DOI: 10.1073/pnas.0605792103