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

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CHAPTER SIXNon-Newtonian Fluid Flow

Many common fluids, including air, water, honey, and liquid metals, are accurately represented by the Newtonian constitutive equation. However, there are also many materials whose behavior is distinctly non-Newtonian: molten polymers, molten glass, semisolid metals, grease, many types of paint, and foods such as mayonnaise, peanut butter, and melted cheese. Non-Newtonian fluids obey the same mass and momentum balance equations as Newtonian fluids, but they have different constitutive equations for stress. In this chapter we show how to develop constitutive equations for non-Newtonian fluids, and we demonstrate their use in the solving of flow problems. We also develop a simplified set of governing equations ...

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