Incompressible Bipolar And Non Newtonian Viscous Fluid Flow
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Incompressible Bipolar And Non Newtonian Viscous Fluid Flow
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Author : Hamid Bellout
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-19
Incompressible Bipolar And Non Newtonian Viscous Fluid Flow written by Hamid Bellout and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Science categories.
The theory of incompressible multipolar viscous fluids is a non-Newtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The Navier-Stokes model of fluid flow is based on the Stokes hypothesis, which a priori simplifies and restricts the relationship between the stress tensor and the velocity. By relaxing the constraints of the Stokes hypothesis, the mathematical theory of multipolar viscous fluids generalizes the standard Navier-Stokes model. The rigorous theory of multipolar viscous fluids is compatible with all known thermodynamical processes and the principle of material frame indifference; this is in contrast with the formulation of most non-Newtonian fluid flow models which result from ad hoc assumptions about the relation between the stress tensor and the velocity. The higher-order boundary conditions, which must be formulated for multipolar viscous flow problems, are a rigorous consequence of the principle of virtual work; this is in stark contrast to the approach employed by authors who have studied the regularizing effects of adding artificial viscosity, in the form of higher order spatial derivatives, to the Navier-Stokes model. A number of research groups, primarily in the United States, Germany, Eastern Europe, and China, have explored the consequences of multipolar viscous fluid models; these efforts, and those of the authors, which are described in this book, have focused on the solution of problems in the context of specific geometries, on the existence of weak and classical solutions, and on dynamical systems aspects of the theory. This volume will be a valuable resource for mathematicians interested in solutions to systems of nonlinear partial differential equations, as well as to applied mathematicians, fluid dynamicists, and mechanical engineers with an interest in the problems of fluid mechanics.
Non Newtonian Fluids
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Author : Boling Guo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-10-08
Non Newtonian Fluids written by Boling Guo 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 2018-10-08 with Mathematics categories.
This book provides an up-to-date overview of mathematical theories and research results in non-Newtonian fluid dynamics. Related mathematical models, solutions as well as numerical experiments are discussed. Fundamental theories and practical applications make it a handy reference for researchers and graduate students in mathematics, physics and engineering. Contents Non-Newtonian fluids and their mathematical model Global solutions to the equations of non-Newtonian fluids Global attractors of incompressible non-Newtonian fluids Global attractors of modified Boussinesq approximation Inertial manifolds of incompressible non-Newtonian fluids The regularity of solutions and related problems Global attractors and time-spatial chaos Non-Newtonian generalized fluid and their applications
Regularity Theory For Generalized Navier Stokes Equations
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Author : Cholmin Sin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-03-17
Regularity Theory For Generalized Navier Stokes Equations written by Cholmin Sin 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 2025-03-17 with Mathematics categories.
This book delves into the recent findings and research methods in the existence and regularity theory for Non-Newtonian Fluids with Variable Power-Law. The aim of this book is not only to introduce recent results and research methods in the existence and regularity theory, such as higher integrability, higher differentiability, and Holder continuity for flows of non-Newtonian fluids with variable power-laws, but also to summarize much of the existing literature concerning these topics. While this book mainly focuses on steady-state flows of non-Newtonian fluids, the methods and ideas presented in this book can be applied to unsteady flows (as discussed in Chapter 7) and other related problems such as complex non-Newtonian fluids, plasticity, elasticity, p(x)-Laplacian type systems, and so on. The book is intended for researchers and graduate students in the field of mathematical fluid mechanics and partial differential equations with variable exponents. It is expected to contribute to the advancement of mathematics and its applications.
Fourteenth International Conference Zaragoza Pau On Mathematics And Its Applications
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Author : López de Silanes, M. C.
language : en
Publisher: Prensas de la Universidad de Zaragoza
Release Date : 2018-02-20
Fourteenth International Conference Zaragoza Pau On Mathematics And Its Applications written by López de Silanes, M. C. and has been published by Prensas de la Universidad de Zaragoza this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-20 with Mathematics categories.
The International Conference Zaragoza-Pau on Mathematics and its Applications was organized by the Departamento de Matemática Aplicada, the Departamento de Métodos Estadísticos and the Departamento de Matemáticas, all of them from the Universidad de Zaragoza (Spain), and the Laboratoire de Mathématiques et de leurs Applications, from the Université de Pau et des Pays de l’Adour (France). This conference has been held every two years since 1989. The aim of this conference is to present recent advances in Applied Mathematics, Statistics and Pure Mathematics, putting special emphasis on subjects linked to petroleum engineering and environmental problems. The Fourteenth Conference took place in Jaca (Spain) from 12nd to 15th September 2016. During those four days, 99 mathematicians, coming from di erent universities, research institutes or the industrial sector, attended 14 plenary lectures, 62 contributed talks and a poster session with 4 posters. We note that in this edition there were 11 mini-symposia, two of them co-organized by colleagues from the Universidad de Zaragoza and the Université de Pau et des Pays de l’Adour.
Modeling And Analysis Of Modern Fluid Problems
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Author : Liancun Zheng
language : en
Publisher: Academic Press
Release Date : 2017-04-26
Modeling And Analysis Of Modern Fluid Problems written by Liancun Zheng and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-26 with Science categories.
Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and 'exact' solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth. - Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems - Includes novel developments in fractional order differential equations with fractal theory applied to fluids - Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1973
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mechanics, Applied categories.
Nonlinear Analysis And Applications
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Author : V. Lakshmikantham
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
Nonlinear Analysis And Applications written by V. Lakshmikantham and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
World Congress Of Nonlinear Analysts 92
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Author : V. Lakshmikantham
language : en
Publisher: Walter de Gruyter
Release Date : 2011-11-14
World Congress Of Nonlinear Analysts 92 written by V. Lakshmikantham and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-14 with Mathematics categories.
No detailed description available for "World Congress of Nonlinear Analysts '92".
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2006
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Rairo
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Author :
language : en
Publisher:
Release Date : 2000
Rairo written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematical models categories.