The Resource Incompressible bipolar and nonNewtonian viscous fluid flow, Hamid Bellout, Frederick Bloom, (electronic book)
Incompressible bipolar and nonNewtonian viscous fluid flow, Hamid Bellout, Frederick Bloom, (electronic book)
Resource Information
The item Incompressible bipolar and nonNewtonian viscous fluid flow, Hamid Bellout, Frederick Bloom, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Incompressible bipolar and nonNewtonian viscous fluid flow, Hamid Bellout, Frederick Bloom, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 The theory of incompressible multipolar viscous fluids is a nonNewtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The NavierStokes 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 NavierStokes 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 nonNewtonian fluid flow models which result from ad hoc assumptions about the relation between the stress tensor and the velocity. The higherorder 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 NavierStokes 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. Thisvolume will bea 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
 Language
 eng
 Extent
 1 online resource.
 Contents

 Incompressible Multipolar Fluid Dynamics
 Plane Poiseuille Flow of Incompressible Bipolar Viscous Fluids
 Incompressible Bipolar Fluid Dynamics: Examples of Other Flows and Geometries
 General Existence and Uniqueness Theorems for Incompressible Bipolar and nonNewtonian Fluid Flow
 Attractors for Incompressible Bipolar and nonNewtonian Flows: Bounded Domains and Space Periodic Problems
 Inertial Manifolds, Orbit Squeezing, and Attractors for Bipolar Flow in Unbounded Channels
 Isbn
 9783319008912
 Label
 Incompressible bipolar and nonNewtonian viscous fluid flow
 Title
 Incompressible bipolar and nonNewtonian viscous fluid flow
 Statement of responsibility
 Hamid Bellout, Frederick Bloom
 Language
 eng
 Summary
 The theory of incompressible multipolar viscous fluids is a nonNewtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The NavierStokes 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 NavierStokes 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 nonNewtonian fluid flow models which result from ad hoc assumptions about the relation between the stress tensor and the velocity. The higherorder 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 NavierStokes 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. Thisvolume will bea 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
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Bellout, Hamid
 Dewey number
 532.00151
 Index
 index present
 LC call number
 QC151
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Bloom, Frederick
 Series statement
 Advances in mathematical fluid mechanics
 http://library.link/vocab/subjectName

 Fluid mechanics
 Hydrodynamics
 Label
 Incompressible bipolar and nonNewtonian viscous fluid flow, Hamid Bellout, Frederick Bloom, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Incompressible Multipolar Fluid Dynamics  Plane Poiseuille Flow of Incompressible Bipolar Viscous Fluids  Incompressible Bipolar Fluid Dynamics: Examples of Other Flows and Geometries  General Existence and Uniqueness Theorems for Incompressible Bipolar and nonNewtonian Fluid Flow  Attractors for Incompressible Bipolar and nonNewtonian Flows: Bounded Domains and Space Periodic Problems  Inertial Manifolds, Orbit Squeezing, and Attractors for Bipolar Flow in Unbounded Channels
 Control code
 SPR863639938
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319008912
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319008912
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 Label
 Incompressible bipolar and nonNewtonian viscous fluid flow, Hamid Bellout, Frederick Bloom, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Incompressible Multipolar Fluid Dynamics  Plane Poiseuille Flow of Incompressible Bipolar Viscous Fluids  Incompressible Bipolar Fluid Dynamics: Examples of Other Flows and Geometries  General Existence and Uniqueness Theorems for Incompressible Bipolar and nonNewtonian Fluid Flow  Attractors for Incompressible Bipolar and nonNewtonian Flows: Bounded Domains and Space Periodic Problems  Inertial Manifolds, Orbit Squeezing, and Attractors for Bipolar Flow in Unbounded Channels
 Control code
 SPR863639938
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319008912
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319008912
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/IncompressiblebipolarandnonNewtonianviscous/Qbl8LmvvPDU/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/IncompressiblebipolarandnonNewtonianviscous/Qbl8LmvvPDU/">Incompressible bipolar and nonNewtonian viscous fluid flow, Hamid Bellout, Frederick Bloom, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>