Mathematical Modeling for Complex Fluids and Flows

Michel Deville, Thomas B. Gatski (Autoren)

Buch | Softcover

XX, 264 Seiten

2014
Springer Berlin (Verlag)
978-3-642-43560-7 (ISBN)

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This book provides state-of-the-art knowledge in continuum concepts and associated fluid dynamics. It supplies the means to design mathematical models of these flows that adequately express the engineering physics involved.

Mathematical Modeling for Complex Fluids and Flows provides researchers and engineering practitioners encountering fluid flows with state-of-the-art knowledge in continuum concepts and associated fluid dynamics. In doing so it supplies the means to design mathematical models of these flows that adequately express the engineering physics involved. It exploits the implicit link between the turbulent flow of classical Newtonian fluids and the laminar and turbulent flow of non-Newtonian fluids such as those required in food processing and polymeric flows.

The book develops a descriptive mathematical model articulated through continuum mechanics concepts for these non-Newtonian, viscoelastic fluids and turbulent flows. Each complex fluid and flow is examined in this continuum context as well as in combination with the turbulent flow of viscoelastic fluids. Some details are also explored via kinetic theory, especially viscoelastic fluids and their treatment with the Boltzmann equation. Both solution and modeling strategies for turbulent flows are laid out using continuum concepts, including a description of constructing polynomial representations and accounting for non-inertial and curvature effects.

Ranging from fundamental concepts to practical methodology, and including discussion of emerging technologies, this book is ideal for those requiring a single-source assessment of current practice in this intricate yet vital field.

1. Introduction.- 2. Tensor Analysis, Invariants, and Representations.- 3. Kinematics and Dynamics.- 4. Constitutive Equations: General Principles.- 5. Non-Newtonian and Viscoelastic Fluids.- 6. Turbulent Flows.- 7. The Boltzmann Equation.- 8. Properties of the Hermite Polynomials.- Table of symbols.-

References.

Erscheint lt. Verlag	22.2.2014
Zusatzinfo	XX, 264 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	438 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	complex flows • complex fluids • constutive equations • fluid- and aerodynamics • Lattice Boltzmann Method • turbulent modeling
ISBN-10	3-642-43560-2 / 3642435602
ISBN-13	978-3-642-43560-7 / 9783642435607
Zustand	Neuware