Volume active pressure and structural viscosity


Binz, Ernst


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URL: http://ub-madoc.bib.uni-mannheim.de/1969
URN: urn:nbn:de:bsz:180-madoc-19695
Document Type: Working paper
Year of publication: 1988
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Subject headings (SWD): Eulersche Charakteristik , Viskosität
Abstract: In [Bi,1] we deduced the force density of an internal constitutive law for a deformable medium, moving in IRn. The geometric type of the body was given by a smooth orientable compact manifold of dim n-1. In the normal component of that force density a pressure is hidden, which describes the energy needed to change the instantaneous volume of the deformable medium. In these notes this pressure will be exhibited. In addition to that a natural coefficient of viscosity, called the structural coefficient of viscosity will be exhibited in case that the internal constitutive law depends on an external parameter, namely a tangent vector of the phase space. We conclude by investigating the interplay between a densit map and scalar curvature, mostly in case of dim M
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Binz, Ernst (1988) Volume active pressure and structural viscosity. Open Access [Working paper]
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