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- W80649962 abstract "AbstractThis chapter lays out the conceptual basis for the study of processes of solid–liquid separation. For the study of flows in rigid and deformable porous media and of suspension sedimentation and transport, we must consider bodies formed of different materials. The appropriate tool to do this is the Theory of Mixtures. A rigorous but limited account of the Theory of Mixtures of continuum mechanics is given that postulates that each point in space of a body is simultaneously occupied by a finite number of particles, one for each component of the mixture. In this way, the mixture can be represented as a superposition of continuous media, each following its own movement with the restriction imposed by the interaction between components. An introduction discusses the conditions that a multi-component body must fulfill to be considered a continuum. The concepts of body, component, mixture, deformation and rate of deformation are introduced and discussed. Mass and momentum balance equations are formulated for each component of the mixture and the need to establish constitutive equations to complete a dynamic process is discussed.KeywordsLinear MomentumReference ConfigurationDeformation FunctionMaterial DerivativeActual ConfigurationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W80649962 date "2013-12-20" @default.
- W80649962 modified "2023-09-23" @default.
- W80649962 title "Theory of Mixtures" @default.
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- W80649962 doi "https://doi.org/10.1007/978-3-319-02484-4_2" @default.
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