Mathematical Thermodynamics of Complex Fluids

Mathematical Thermodynamics of Complex Fluids PDF

Author: Eduard Feireisl

Publisher: Springer

Published: 2017-11-28

Total Pages: 148

ISBN-13: 3319676008

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The main goal of this book is to provide an overview of the state of the art in the mathematical modeling of complex fluids, with particular emphasis on its thermodynamical aspects. The central topics of the text, the modeling, analysis and numerical simulation of complex fluids, are of great interest and importance both for the understanding of various aspects of fluid dynamics and for its applications to special real-world problems. New emerging trends in the subject are highlighted with the intent to inspire and motivate young researchers and PhD students.

Mathematical Modeling for Complex Fluids and Flows

Mathematical Modeling for Complex Fluids and Flows PDF

Author: Michel Deville

Publisher: Springer Science & Business Media

Published: 2012-01-12

Total Pages: 278

ISBN-13: 3642252958

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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.

Complex fluids

Complex fluids PDF

Author: Pierre Saramito

Publisher: Springer

Published: 2016-10-26

Total Pages: 287

ISBN-13: 3319443623

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This book presents a comprehensive overview of the modeling of complex fluids, including many common substances, such as toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which cannot be described by Navier-Stokes equations. It also offers an up-to-date mathematical and numerical analysis of the corresponding equations, as well as several practical numerical algorithms and software solutions for the approximation of the solutions. It discusses industrial (molten plastics, forming process), geophysical (mud flows, volcanic lava, glaciers and snow avalanches), and biological (blood flows, tissues) modeling applications. This book is a valuable resource for undergraduate students and researchers in applied mathematics, mechanical engineering and physics.

Singular Limits in Thermodynamics of Viscous Fluids

Singular Limits in Thermodynamics of Viscous Fluids PDF

Author: Eduard Feireisl

Publisher: Springer Science & Business Media

Published: 2009-03-28

Total Pages: 411

ISBN-13: 3764388439

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Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.

Applied Thermodynamics of Fluids

Applied Thermodynamics of Fluids PDF

Author: A. R. H. Goodwin

Publisher: Royal Society of Chemistry

Published: 2010

Total Pages: 535

ISBN-13: 1847558062

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Published under the asspices of both IUPAC and its affiliated body, the International Association of Chemical Thermodynamics (IACT), this book will serve as a guide to scientists or technicians who use equations of state for fluids. Concentrating on the application of theory, the practical use of each type of equation is discussed and the strengths and weaknesses of each are addressed. It includes material on the equations of state for chemically reacting and non-equilibrium fluids which have undergone significant developments and brings up to date the equations of state for fluids and fluid mixtures. Applied Thermodynamics of Fluids addresses the need of practitioners within academia, government and industry by assembling an international team of distinguished experts to provide each chapter. The topics presented in the book are important to the energy business, particularly the hydroncarbon economy and the development of new power sources and are also significant for the application of liquid crystals and ionic liquids to commericial products. This reference will be useful for post graduate researchers in the fields of chemical engineering, mechanical engineering, chemistry and physics.

Fluid and Thermodynamics

Fluid and Thermodynamics PDF

Author: Kolumban Hutter

Publisher: Springer

Published: 2016-06-10

Total Pages: 652

ISBN-13: 3319336339

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This first volume discusses fluid mechanical concepts and their applications to ideal and viscous processes. It describes the fundamental hydrostatics and hydrodynamics, and includes an almanac of flow problems for ideal fluids. The book presents numerous exact solutions of flows in simple configurations, each of which is constructed and graphically supported. It addresses ideal, potential, Newtonian and non-Newtonian fluids. Simple, yet precise solutions to special flows are also constructed, namely Blasius boundary layer flows, matched asymptotics of the Navier-Stokes equations, global laws of steady and unsteady boundary layer flows and laminar and turbulent pipe flows. Moreover, the well-established logarithmic velocity profile is criticised.

Multi-scale Phenomena in Complex Fluids

Multi-scale Phenomena in Complex Fluids PDF

Author: Thomas Y. Hou

Publisher: World Scientific

Published: 2009

Total Pages: 379

ISBN-13: 9814273252

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Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the ªrst two series of mini-courses from "Shanghai Summer School on Analysis and Numerics in Modern Sciences," which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids.

Fluid and Thermodynamics

Fluid and Thermodynamics PDF

Author: Kolumban Hutter

Publisher: Springer

Published: 2016-07-18

Total Pages: 647

ISBN-13: 3319336363

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In this book fluid mechanics and thermodynamics (F&T) are approached as interwoven, not disjoint fields. The book starts by analyzing the creeping motion around spheres at rest: Stokes flows, the Oseen correction and the Lagerstrom-Kaplun expansion theories are presented, as is the homotopy analysis. 3D creeping flows and rapid granular avalanches are treated in the context of the shallow flow approximation, and it is demonstrated that uniqueness and stability deliver a natural transition to turbulence modeling at the zero, first order closure level. The difference-quotient turbulence model (DQTM) closure scheme reveals the importance of the turbulent closure schemes’ non-locality effects. Thermodynamics is presented in the form of the first and second laws, and irreversibility is expressed in terms of an entropy balance. Explicit expressions for constitutive postulates are in conformity with the dissipation inequality. Gas dynamics offer a first application of combined F&T. The book is rounded out by a chapter on dimensional analysis, similitude, and physical experiments.

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