Mathematical Modeling of Non-Newtonian Fluids with Applications
Seiten
2026
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-283-803-2 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-283-803-2 (ISBN)
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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.
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.
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.
Why Non-Newtonian Models?; Fluid-Particle Interaction: Some Puzzling Experiments; The Reiner-Rivlin Model; The Power Law Model; Simple Fluids; Small Weissenberg Numbers: The Second-Order Model; The Oldroyd-B and Related Models; Non-Newtonian Fluid and Turbulence Modeling.
| Erscheint lt. Verlag | 28.2.2026 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik | |
| ISBN-10 | 981-283-803-1 / 9812838031 |
| ISBN-13 | 978-981-283-803-2 / 9789812838032 |
| Zustand | Neuware |
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