Selected Problems for Newtonian and Maxwellian Fluids

Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 210)

Abstract

This chapter is dedicated to the art of modeling, in particular modeling problems involving viscous gases and fluids. We start with the previously introduced Navier-Stokes constitutive law in context with transient flow through a channel. We shall see that this constitutive relations results in a parabolic partial differential equation for the velocity of the fluid, which immediately leads to the artefact of infinite speeds of propagation. This can be avoided by application of the Maxwell fluid model, which accounts for memory effects. Further examples of gas dynamics in spherical coordinates include expanding and contracting stars as well as the whole universe, which are modeled by means of classical continuum theory.

Keywords

Mass Density Constitutive Relation Outer Radius Lower Plate Length Scale Parameter 
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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Institute of MechanicsTechnical University of BerlinBerlinGermany

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