Abstract
As already explained in the previous chapter on the fundamental laws of continuum mechanics, bodies behave in such a way that the universal balances of mass, momentum, energy and entropy are satisfied. Yet only in very few cases, like, for example, the idealizations of a point mass or of a rigid body without heat conduction, are these laws enough to describe a body’s behavior. In these special cases, the characteristics of “mass” and “mass distribution” belonging to each body are the only important features. In order to describe a deformable medium, the material from which it is made must be characterized, because clearly, the deformation or the rate of deformation under a given load is dependent on the material. Because the balance laws yield more unknowns than independent equations, we can already conclude that a specification of the material through relationships describing the way in which the stress and heat flux vectors depend on the other field quantities is generally required.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Constitutive Relations for Fluids. In: Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73537-3_3
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DOI: https://doi.org/10.1007/978-3-540-73537-3_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73536-6
Online ISBN: 978-3-540-73537-3
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