Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains

Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Fontelos, Marco A. [verfasserIn] Friedman, Avner

Format:	Artikel
Sprache:	Englisch

Erschienen:	2000

Schlagwörter:	Viscosity Boundary Condition Fluid Flow Kinematic Viscosity Uniqueness Result

Anmerkung:	© Springer-Verlag Berlin Heidelberg 2000

Übergeordnetes Werk:	Enthalten in: Archive for rational mechanics and analysis - Springer-Verlag, 1957, 151(2000), 1 vom: März, Seite 1-43
Übergeordnetes Werk:	volume:151 ; year:2000 ; number:1 ; month:03 ; pages:1-43

Links:	Volltext

DOI / URN:	10.1007/s002050050192

Katalog-ID:	OLC2056412098

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allfields	10.1007/s002050050192 doi (DE-627)OLC2056412098 (DE-He213)s002050050192-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fontelos, Marco A. verfasserin aut Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2000 Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points. Viscosity Boundary Condition Fluid Flow Kinematic Viscosity Uniqueness Result Friedman, Avner aut Enthalten in Archive for rational mechanics and analysis Springer-Verlag, 1957 151(2000), 1 vom: März, Seite 1-43 (DE-627)129519618 (DE-600)212130-X (DE-576)014933004 0003-9527 nnns volume:151 year:2000 number:1 month:03 pages:1-43 https://doi.org/10.1007/s002050050192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 151 2000 1 03 1-43
spelling	10.1007/s002050050192 doi (DE-627)OLC2056412098 (DE-He213)s002050050192-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fontelos, Marco A. verfasserin aut Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2000 Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points. Viscosity Boundary Condition Fluid Flow Kinematic Viscosity Uniqueness Result Friedman, Avner aut Enthalten in Archive for rational mechanics and analysis Springer-Verlag, 1957 151(2000), 1 vom: März, Seite 1-43 (DE-627)129519618 (DE-600)212130-X (DE-576)014933004 0003-9527 nnns volume:151 year:2000 number:1 month:03 pages:1-43 https://doi.org/10.1007/s002050050192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 151 2000 1 03 1-43
allfields_unstemmed	10.1007/s002050050192 doi (DE-627)OLC2056412098 (DE-He213)s002050050192-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fontelos, Marco A. verfasserin aut Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2000 Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points. Viscosity Boundary Condition Fluid Flow Kinematic Viscosity Uniqueness Result Friedman, Avner aut Enthalten in Archive for rational mechanics and analysis Springer-Verlag, 1957 151(2000), 1 vom: März, Seite 1-43 (DE-627)129519618 (DE-600)212130-X (DE-576)014933004 0003-9527 nnns volume:151 year:2000 number:1 month:03 pages:1-43 https://doi.org/10.1007/s002050050192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 151 2000 1 03 1-43
allfieldsGer	10.1007/s002050050192 doi (DE-627)OLC2056412098 (DE-He213)s002050050192-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fontelos, Marco A. verfasserin aut Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2000 Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points. Viscosity Boundary Condition Fluid Flow Kinematic Viscosity Uniqueness Result Friedman, Avner aut Enthalten in Archive for rational mechanics and analysis Springer-Verlag, 1957 151(2000), 1 vom: März, Seite 1-43 (DE-627)129519618 (DE-600)212130-X (DE-576)014933004 0003-9527 nnns volume:151 year:2000 number:1 month:03 pages:1-43 https://doi.org/10.1007/s002050050192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 151 2000 1 03 1-43
allfieldsSound	10.1007/s002050050192 doi (DE-627)OLC2056412098 (DE-He213)s002050050192-p DE-627 ger DE-627 rakwb eng 530 510 VZ Fontelos, Marco A. verfasserin aut Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2000 Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points. Viscosity Boundary Condition Fluid Flow Kinematic Viscosity Uniqueness Result Friedman, Avner aut Enthalten in Archive for rational mechanics and analysis Springer-Verlag, 1957 151(2000), 1 vom: März, Seite 1-43 (DE-627)129519618 (DE-600)212130-X (DE-576)014933004 0003-9527 nnns volume:151 year:2000 number:1 month:03 pages:1-43 https://doi.org/10.1007/s002050050192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 151 2000 1 03 1-43
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source	Enthalten in Archive for rational mechanics and analysis 151(2000), 1 vom: März, Seite 1-43 volume:151 year:2000 number:1 month:03 pages:1-43
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topic_facet	Viscosity Boundary Condition Fluid Flow Kinematic Viscosity Uniqueness Result
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author	Fontelos, Marco A.
spellingShingle	Fontelos, Marco A. ddc 530 misc Viscosity misc Boundary Condition misc Fluid Flow misc Kinematic Viscosity misc Uniqueness Result Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains
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topic_title	530 510 VZ Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains Viscosity Boundary Condition Fluid Flow Kinematic Viscosity Uniqueness Result
topic	ddc 530 misc Viscosity misc Boundary Condition misc Fluid Flow misc Kinematic Viscosity misc Uniqueness Result
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title	Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains
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title_full	Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains
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title_sort	stationary non-newtonian fluid flows¶in channel-like and pipe-like domains
title_auth	Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains
abstract	Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points. © Springer-Verlag Berlin Heidelberg 2000
abstractGer	Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points. © Springer-Verlag Berlin Heidelberg 2000
abstract_unstemmed	Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points. © Springer-Verlag Berlin Heidelberg 2000
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title_short	Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains
url	https://doi.org/10.1007/s002050050192
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up_date	2024-07-04T04:19:46.101Z
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