Mathematical Modeling of Non-Newtonian Fluids with Applications

Collects and describes significant experiments that do not find explanation in the classical Newtonian (Navier-Stokes) theory. This book introduces some of the most commonly used models of non-Newtonian fluid, including Reiner-Rivlin, power law, simple fluid, and Oldroyd-B models.

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The objective of this book is several-fold. Firstly, it collects and describes the most significant experiments that do not find explanation in the classical Newtonian (Navier-Stokes) theory. Then, it introduces some of the most commonly used models of non-Newtonian fluid, including Reiner-Rivlin, power law, simple fluid, and Oldroyd-B models. These models are explored through an updated mathematical investigation, with particular regard to the well-posedness of the corresponding boundary and initial-boundary value problems. Finally, it presents a rigorous mathematical explanation of the relevant experiments.