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Modeling in Materials Processing by Jonathan A. Dantzig, Charles L. Tucker

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CHAPTER FIVEIsothermal Newtonian Fluid Flow

In this chapter we turn our attention to problems involving fluid flow. Such problems are solved by using the mass and momentum balance equations derived in Chapter 2. We start by analyzing Newtonian fluids in simple geometries, such as flow between parallel plates, or flow in a tube. We use scaling to determine whether inertial or viscous effects dominate the problem, and we concentrate initially on viscous-dominated flows. These simple-geometry viscous results are useful building blocks for process modeling, especially in polymer processing where the fluid viscosity is very large. Several examples illustrate how this is done. We show how to formulate problems with free or moving boundaries, a situation ...

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