Titlebook: Mathematical Modeling for Complex Fluids and Flows; Michel O. Deville,Thomas B. Gatski Book 2012 Springer-Verlag Berlin Heidelberg 2012 Co

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Kinematics and Dynamics,Underlying the study of fluid flow are the mechanical concepts of kinematics and dynamics, where kinematics applies to the description of the motion, and dynamics applies to the causes of the motion. It is first necessary to develop how to describe the motion and then examine the various forces involved in the motion and energy balance.

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Mathematical Modeling for Complex Fluids and Flows

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Mathematical Modeling for Complex Fluids and Flows978-3-642-25295-2

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Constitutive Equations: General Principles,s monograph this concept of constitutive equations will also be used, but also extended and adapted to represent the behavior of a turbulent flow. Rivlin (Q Appl Math 15:212–215, .) suggested such an analogy between a non-Newtonian fluid and turbulent Newtonian flow over a half-century ago. The anal

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The Boltzmann Equation,that is, at an intermediate scale between the continuous representation and the nanoscale. Nevertheless a multi-scale analysis using the Chapman-Enskog expansion produces the well known (weakly compressible) Navier-Stokes equations.