Equations Of Motion For Incompressible Viscous Fluids
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Equations Of Motion For Incompressible Viscous Fluids
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Author : Tujin Kim
language : en
Publisher: Springer Nature
Release Date : 2021-09-09
Equations Of Motion For Incompressible Viscous Fluids written by Tujin Kim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with Mathematics categories.
This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena. The authors’ approach carefully walks readers through the development of fluid equations at the cutting edge of research, and the applications of a variety of boundary conditions to real-world problems. Special attention is paid to the equivalence between partial differential equations with a mixture of various boundary conditions and their corresponding variational problems, especially variational inequalities with one unknown. A self-contained approach is maintained throughout by first covering introductory topics, and then moving on to mixtures of boundary conditions, a thorough outline of the Navier-Stokes equations, an analysis of both the steady and non-steady Boussinesq system, and more. Equations of Motion for Incompressible Viscous Fluids is ideal for postgraduate students and researchers in the fields of fluid equations, numerical analysis, and mathematical modelling.
Equations Of Motion For Incompressible Viscous Fluids
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Author : Tujin Kim
language : en
Publisher:
Release Date : 2021
Equations Of Motion For Incompressible Viscous Fluids written by Tujin Kim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena. The authors' approach carefully walks readers through the development of fluid equations at the cutting edge of research, and the applications of a variety of boundary conditions to real-world problems. Special attention is paid to the equivalence between partial differential equations with a mixture of various boundary conditions and their corresponding variational problems, especially variational inequalities with one unknown. A self-contained approach is maintained throughout by first covering introductory topics, and then moving on to mixtures of boundary conditions, a thorough outline of the Navier-Stokes equations, an analysis of both the steady and non-steady Boussinesq system, and more. Equations of Motion for Incompressible Viscous Fluids is ideal for postgraduate students and researchers in the fields of fluid equations, numerical analysis, and mathematical modelling.
Equations Of Motion Of A Viscous Liquid
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Author : P. E. Doudna
language : en
Publisher:
Release Date : 1897
Equations Of Motion Of A Viscous Liquid written by P. E. Doudna and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with categories.
Introduction To The Numerical Analysis Of Incompressible Viscous Flows
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Author : William Layton
language : en
Publisher: SIAM
Release Date : 2008-01-01
Introduction To The Numerical Analysis Of Incompressible Viscous Flows written by William Layton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.
Numerical Simulation Of Incompressible Viscous Flow
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Author : Roland Glowinski
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-09-20
Numerical Simulation Of Incompressible Viscous Flow written by Roland Glowinski and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-20 with Mathematics categories.
This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.
An Integral Equation Formulation Of The Equations Of Motion Of An Incompressible Fluid
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Author : J. S. Uhlman
language : en
Publisher:
Release Date : 1992
An Integral Equation Formulation Of The Equations Of Motion Of An Incompressible Fluid written by J. S. Uhlman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Fluid dynamics categories.
A set of coupled integral equations is derived from the incompressible Navier-Stokes equations and the continuity equation. These equations are based on a vorticity-velocity-enthalpy formulation and are exact. The equations consist of a generalization of the Biot-Savart law for determining the velocity, an integral expression of the momentum equation for determining the vorticity, and a boundary integral equation for determining the stagnation enthalpy. The equations are linear in each independent variable, with the nonlinearities entering only through the cross terms of the vorticity and velocity. They possess a number of interesting properties, including the total absence of spatial derivatives and the fact that the stagnation enthalpy, or pressure, is required only on the boundary of the fluid domain. In addition, since the vorticity is present in all volume integrals, the domain of integration in this case is restricted to the region of nonzero vorticity. All boundary conditions, and in particular the farfield boundary condition, are naturally incorporated in the formulation.
Numerical Solutions Of The Navier Stokes Equations For The Steady Viscous Incompressible Flow Around A Rotating Circular Cylinder
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Author : Vithalbhai Ambalal Patel
language : en
Publisher:
Release Date : 1970
Numerical Solutions Of The Navier Stokes Equations For The Steady Viscous Incompressible Flow Around A Rotating Circular Cylinder written by Vithalbhai Ambalal Patel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Fluid dynamics categories.
Elements Of Fluid Dynamics
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Author : Guido Buresti
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-06-26
Elements Of Fluid Dynamics written by Guido Buresti and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-26 with Technology & Engineering categories.
Elements of Fluid Dynamics is intended to be a basic textbook, useful for undergraduate and graduate students in different fields of engineering, as well as in physics and applied mathematics. The main objective of the book is to provide an introduction to fluid dynamics in a simultaneously rigorous and accessible way, and its approach follows the idea that both the generation mechanisms and the main features of the fluid dynamic loads can be satisfactorily understood only after the equations of fluid motion and all their physical and mathematical implications have been thoroughly assimilated. Therefore, the complete equations of motion of a compressible viscous fluid are first derived and their physical and mathematical aspects are thoroughly discussed. Subsequently, the necessity of simplified treatments is highlighted, and a detailed analysis is made of the assumptions and range of applicability of the incompressible flow model, which is then adopted for most of the rest of the book. Furthermore, the role of the generation and dynamics of vorticity on the development of different flows is emphasized, as well as its influence on the characteristics, magnitude and predictability of the fluid dynamic loads acting on moving bodies.The book is divided into two parts which differ in target and method of utilization. The first part contains the fundamentals of fluid dynamics that are essential for any student new to the subject. This part of the book is organized in a strictly sequential way, i.e. each chapter is assumed to be carefully read and studied before the next one is tackled, and its aim is to lead the reader in understanding the origin of the fluid dynamic forces on different types of bodies. The second part of the book is devoted to selected topics that may be of more specific interest to different students. In particular, some theoretical aspects of incompressible flows are first analysed and classical applications of fluid dynamics such as the aerodynamics of airfoils, wings and bluff bodies are then described. The one-dimensional treatment of compressible flows is finally considered, together with its application to the study of the motion in ducts.
Singular Limits In Thermodynamics Of Viscous Fluids
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Author : Eduard Feireisl
language : en
Publisher: Birkhäuser
Release Date : 2017-11-24
Singular Limits In Thermodynamics Of Viscous Fluids written by Eduard Feireisl and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-24 with Mathematics categories.
This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids. "The main aim is to provide mathematically rigorous arguments how to get from the compressible Navier-Stokes-Fourier system several less complex systems of partial differential equations used e.g. in meteorology or astrophysics. However, the book contains also a detailed introduction to the modelling in mechanics and thermodynamics of fluids from the viewpoint of continuum physics. The book is very interesting and important. It can be recommended not only to specialists in the field, but it can also be used for doctoral students and young researches who want to start to work in the mathematical theory of compressible fluids and their asymptotic limits." Milan Pokorný (zbMATH) "This book is of the highest quality from every point of view. It presents, in a unified way, recent research material of fundament al importance. It is self-contained, thanks to Chapter 3 (existence theory) and to the appendices. It is extremely well organized, and very well written. It is a landmark for researchers in mathematical fluid dynamics, especially those interested in the physical meaning of the equations and statements." Denis Serre (MathSciNet)
Viscous Flow
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Author : Hilary Ockendon
language : en
Publisher: Cambridge University Press
Release Date : 1995-01-27
Viscous Flow written by Hilary Ockendon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-27 with Mathematics categories.
Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive of alternative methodologies. This book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows. It clearly presents the salient physical ideas and the mathematical ramifications with exercises designed to be an integral part of the text. By showing the basic theoretical framework which has developed as a result of the study of viscous flows, the book should be ideal reading for students of applied mathematics who should then be able to delve further into the subject and be well placed to exploit mathematical ideas throughout the whole of applied science.