Finite element simulation of nonlinear fluids with application to granular material and powder [Elektronische Ressource] / von Abderrahim Ouazzi

Description

FiniteElementSimulationofNonlinearFluidswith Application to Granular Material andPowderDissertationDoktors der NaturwissenschaftenDem Fachbereich Mathematik der Universit¨at Dortmundvorgelegt am 2005 vonAbderrahim OuazziFiniteElementSimulationofNonlinearFluidswithApplicationtoGranularMaterialandPowderSummary. This thesis is concerned with new numerical and algorithmic tools for flows with pressure and sheardependent viscosity together with the necessary background of the generalized Navier-Stokes equations.Ingeneral,theviscositycandependonthedensity,forinstanceinthecaseofcompressibleflow,andiftherelationbetween the pressure and the density is reversible, the viscosity may depend on the pressure. This, however, isnot the case for incompressible powder flow where the viscous stresses may change with varying pressure whereasdensity changes remain negligible. Meanwhile, the viscosity of the flow may change as the shear rate is varied,for instance in Bingham flow. Both dependencies can occur together, something that holds for the so-called non-flowing or slow-flowing materials, namely slow-flowing smaller-sized bulk powder. The Navier-Stokes equationsin primitive variables (velocity-pressure) are regarded as the privilege answer to incorporate these phenomena.The modification of the viscous stresses leads to generalized Navier-Stokes equations extending the range of theirvalidity to such flow.

Sujets

• Physik

Informations

• Publié par: technischen_universitat_dortmund
• Publié le: 01 janvier 2005
• Nombre de lectures: 7
• Langue: English
• Poids de l'ouvrage: 1 Mo

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