The Resource Incompressible bipolar and non-Newtonian viscous fluid flow, Hamid Bellout, Frederick Bloom, (electronic book)
Incompressible bipolar and non-Newtonian viscous fluid flow, Hamid Bellout, Frederick Bloom, (electronic book)
Resource Information
The item Incompressible bipolar and non-Newtonian 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 non-Newtonian 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 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. 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 non-Newtonian Fluid Flow
- Attractors for Incompressible Bipolar and non-Newtonian 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 non-Newtonian viscous fluid flow
- Title
- Incompressible bipolar and non-Newtonian viscous fluid flow
- Statement of responsibility
- Hamid Bellout, Frederick Bloom
- Language
- eng
- Summary
- 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. 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 non-Newtonian 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 non-Newtonian Fluid Flow -- Attractors for Incompressible Bipolar and non-Newtonian 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
- 10.1007/978-3-319-00891-2
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- Label
- Incompressible bipolar and non-Newtonian 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 non-Newtonian Fluid Flow -- Attractors for Incompressible Bipolar and non-Newtonian 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
- 10.1007/978-3-319-00891-2
- 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 fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Incompressible-bipolar-and-non-Newtonian-viscous/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/Incompressible-bipolar-and-non-Newtonian-viscous/Qbl8LmvvPDU/">Incompressible bipolar and non-Newtonian 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>
