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＜電子ブック＞
Mathematical Modeling for Complex Fluids and Flows / by Michel Deville, Thomas B. Gatski

版	1st ed. 2012.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2012
大きさ	XX, 264 p : online resource
著者標目	*Deville, Michel author Gatski, Thomas B author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Continuum mechanics LCSH:Mathematical models LCSH:Computer simulation LCSH:Mathematical physics FREE:Applications of Mathematics FREE:Continuum Mechanics FREE:Mathematical Modeling and Industrial Mathematics FREE:Computer Modelling FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-642-25295-2

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