The linearly stretching wall jet
It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this resp...
Ausführliche Beschreibung
Autor*in: |
Jafarimoghaddam, Amin [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2019 |
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Übergeordnetes Werk: |
Enthalten in: European journal of mechanics / B - Paris : Gauthier-Villars, 1998, 80, Seite 52-59 |
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Übergeordnetes Werk: |
volume:80 ; pages:52-59 |
DOI / URN: |
10.1016/j.euromechflu.2019.12.001 |
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Katalog-ID: |
ELV003642755 |
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245 | 1 | 0 | |a The linearly stretching wall jet |
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520 | |a It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this respect, it is employed appropriate coordinate expansions to explore perturbatively the behavior of the flow near the similarity regions. A suitable composite transformation amalgamated with an abridgmentof the stream-wise coordinate, facilitated an immaculate numerical simulation of the involved nonlinear partial differential equation over the entire spatial domain ( 0 ≤ X < ∞ , 0 ≤ η ˆ < ∞ ) followed by quasi-linearization technique together with an implicit algorithm of a tridiagonal form. As a result, shear stress at the wall is accurately predicted through a proposed formulation, valid all the way along the wall. It is also exhibited that there exists a transition region with a critical coordinate in the stream-wise direction in which the shear stress at the wall becomes zero. This universal coordinate (namely, the turning point) is determined as, reasonably close to, X c r. ≈ 13 23 ( X is a dimensionless coordinate measuring distance along the wall and η ˆ is the dimensionless non-similarity variable). | ||
650 | 4 | |a The stretching wall jet | |
650 | 4 | |a Perturbation analysis | |
650 | 4 | |a Numerical solution | |
650 | 4 | |a Wall jet | |
650 | 4 | |a Stretching sheet | |
650 | 4 | |a Non-similar flow | |
773 | 0 | 8 | |i Enthalten in |t European journal of mechanics / B |d Paris : Gauthier-Villars, 1998 |g 80, Seite 52-59 |h Online-Ressource |w (DE-627)320593878 |w (DE-600)2019287-3 |w (DE-576)114088284 |x 1873-7390 |7 nnns |
773 | 1 | 8 | |g volume:80 |g pages:52-59 |
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936 | b | k | |a 50.33 |j Technische Strömungsmechanik |
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2019 |
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50.33 |
publishDate |
2019 |
allfields |
10.1016/j.euromechflu.2019.12.001 doi (DE-627)ELV003642755 (ELSEVIER)S0997-7546(19)30433-9 DE-627 ger DE-627 rda eng 530 DE-600 50.33 bkl Jafarimoghaddam, Amin verfasserin aut The linearly stretching wall jet 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this respect, it is employed appropriate coordinate expansions to explore perturbatively the behavior of the flow near the similarity regions. A suitable composite transformation amalgamated with an abridgmentof the stream-wise coordinate, facilitated an immaculate numerical simulation of the involved nonlinear partial differential equation over the entire spatial domain ( 0 ≤ X < ∞ , 0 ≤ η ˆ < ∞ ) followed by quasi-linearization technique together with an implicit algorithm of a tridiagonal form. As a result, shear stress at the wall is accurately predicted through a proposed formulation, valid all the way along the wall. It is also exhibited that there exists a transition region with a critical coordinate in the stream-wise direction in which the shear stress at the wall becomes zero. This universal coordinate (namely, the turning point) is determined as, reasonably close to, X c r. ≈ 13 23 ( X is a dimensionless coordinate measuring distance along the wall and η ˆ is the dimensionless non-similarity variable). The stretching wall jet Perturbation analysis Numerical solution Wall jet Stretching sheet Non-similar flow Enthalten in European journal of mechanics / B Paris : Gauthier-Villars, 1998 80, Seite 52-59 Online-Ressource (DE-627)320593878 (DE-600)2019287-3 (DE-576)114088284 1873-7390 nnns volume:80 pages:52-59 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.33 Technische Strömungsmechanik AR 80 52-59 |
spelling |
10.1016/j.euromechflu.2019.12.001 doi (DE-627)ELV003642755 (ELSEVIER)S0997-7546(19)30433-9 DE-627 ger DE-627 rda eng 530 DE-600 50.33 bkl Jafarimoghaddam, Amin verfasserin aut The linearly stretching wall jet 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this respect, it is employed appropriate coordinate expansions to explore perturbatively the behavior of the flow near the similarity regions. A suitable composite transformation amalgamated with an abridgmentof the stream-wise coordinate, facilitated an immaculate numerical simulation of the involved nonlinear partial differential equation over the entire spatial domain ( 0 ≤ X < ∞ , 0 ≤ η ˆ < ∞ ) followed by quasi-linearization technique together with an implicit algorithm of a tridiagonal form. As a result, shear stress at the wall is accurately predicted through a proposed formulation, valid all the way along the wall. It is also exhibited that there exists a transition region with a critical coordinate in the stream-wise direction in which the shear stress at the wall becomes zero. This universal coordinate (namely, the turning point) is determined as, reasonably close to, X c r. ≈ 13 23 ( X is a dimensionless coordinate measuring distance along the wall and η ˆ is the dimensionless non-similarity variable). The stretching wall jet Perturbation analysis Numerical solution Wall jet Stretching sheet Non-similar flow Enthalten in European journal of mechanics / B Paris : Gauthier-Villars, 1998 80, Seite 52-59 Online-Ressource (DE-627)320593878 (DE-600)2019287-3 (DE-576)114088284 1873-7390 nnns volume:80 pages:52-59 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.33 Technische Strömungsmechanik AR 80 52-59 |
allfields_unstemmed |
10.1016/j.euromechflu.2019.12.001 doi (DE-627)ELV003642755 (ELSEVIER)S0997-7546(19)30433-9 DE-627 ger DE-627 rda eng 530 DE-600 50.33 bkl Jafarimoghaddam, Amin verfasserin aut The linearly stretching wall jet 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this respect, it is employed appropriate coordinate expansions to explore perturbatively the behavior of the flow near the similarity regions. A suitable composite transformation amalgamated with an abridgmentof the stream-wise coordinate, facilitated an immaculate numerical simulation of the involved nonlinear partial differential equation over the entire spatial domain ( 0 ≤ X < ∞ , 0 ≤ η ˆ < ∞ ) followed by quasi-linearization technique together with an implicit algorithm of a tridiagonal form. As a result, shear stress at the wall is accurately predicted through a proposed formulation, valid all the way along the wall. It is also exhibited that there exists a transition region with a critical coordinate in the stream-wise direction in which the shear stress at the wall becomes zero. This universal coordinate (namely, the turning point) is determined as, reasonably close to, X c r. ≈ 13 23 ( X is a dimensionless coordinate measuring distance along the wall and η ˆ is the dimensionless non-similarity variable). The stretching wall jet Perturbation analysis Numerical solution Wall jet Stretching sheet Non-similar flow Enthalten in European journal of mechanics / B Paris : Gauthier-Villars, 1998 80, Seite 52-59 Online-Ressource (DE-627)320593878 (DE-600)2019287-3 (DE-576)114088284 1873-7390 nnns volume:80 pages:52-59 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.33 Technische Strömungsmechanik AR 80 52-59 |
allfieldsGer |
10.1016/j.euromechflu.2019.12.001 doi (DE-627)ELV003642755 (ELSEVIER)S0997-7546(19)30433-9 DE-627 ger DE-627 rda eng 530 DE-600 50.33 bkl Jafarimoghaddam, Amin verfasserin aut The linearly stretching wall jet 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this respect, it is employed appropriate coordinate expansions to explore perturbatively the behavior of the flow near the similarity regions. A suitable composite transformation amalgamated with an abridgmentof the stream-wise coordinate, facilitated an immaculate numerical simulation of the involved nonlinear partial differential equation over the entire spatial domain ( 0 ≤ X < ∞ , 0 ≤ η ˆ < ∞ ) followed by quasi-linearization technique together with an implicit algorithm of a tridiagonal form. As a result, shear stress at the wall is accurately predicted through a proposed formulation, valid all the way along the wall. It is also exhibited that there exists a transition region with a critical coordinate in the stream-wise direction in which the shear stress at the wall becomes zero. This universal coordinate (namely, the turning point) is determined as, reasonably close to, X c r. ≈ 13 23 ( X is a dimensionless coordinate measuring distance along the wall and η ˆ is the dimensionless non-similarity variable). The stretching wall jet Perturbation analysis Numerical solution Wall jet Stretching sheet Non-similar flow Enthalten in European journal of mechanics / B Paris : Gauthier-Villars, 1998 80, Seite 52-59 Online-Ressource (DE-627)320593878 (DE-600)2019287-3 (DE-576)114088284 1873-7390 nnns volume:80 pages:52-59 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.33 Technische Strömungsmechanik AR 80 52-59 |
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10.1016/j.euromechflu.2019.12.001 doi (DE-627)ELV003642755 (ELSEVIER)S0997-7546(19)30433-9 DE-627 ger DE-627 rda eng 530 DE-600 50.33 bkl Jafarimoghaddam, Amin verfasserin aut The linearly stretching wall jet 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this respect, it is employed appropriate coordinate expansions to explore perturbatively the behavior of the flow near the similarity regions. A suitable composite transformation amalgamated with an abridgmentof the stream-wise coordinate, facilitated an immaculate numerical simulation of the involved nonlinear partial differential equation over the entire spatial domain ( 0 ≤ X < ∞ , 0 ≤ η ˆ < ∞ ) followed by quasi-linearization technique together with an implicit algorithm of a tridiagonal form. As a result, shear stress at the wall is accurately predicted through a proposed formulation, valid all the way along the wall. It is also exhibited that there exists a transition region with a critical coordinate in the stream-wise direction in which the shear stress at the wall becomes zero. This universal coordinate (namely, the turning point) is determined as, reasonably close to, X c r. ≈ 13 23 ( X is a dimensionless coordinate measuring distance along the wall and η ˆ is the dimensionless non-similarity variable). The stretching wall jet Perturbation analysis Numerical solution Wall jet Stretching sheet Non-similar flow Enthalten in European journal of mechanics / B Paris : Gauthier-Villars, 1998 80, Seite 52-59 Online-Ressource (DE-627)320593878 (DE-600)2019287-3 (DE-576)114088284 1873-7390 nnns volume:80 pages:52-59 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.33 Technische Strömungsmechanik AR 80 52-59 |
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Jafarimoghaddam, Amin |
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Elektronische Aufsätze |
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Jafarimoghaddam, Amin |
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the linearly stretching wall jet |
title_auth |
The linearly stretching wall jet |
abstract |
It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this respect, it is employed appropriate coordinate expansions to explore perturbatively the behavior of the flow near the similarity regions. A suitable composite transformation amalgamated with an abridgmentof the stream-wise coordinate, facilitated an immaculate numerical simulation of the involved nonlinear partial differential equation over the entire spatial domain ( 0 ≤ X < ∞ , 0 ≤ η ˆ < ∞ ) followed by quasi-linearization technique together with an implicit algorithm of a tridiagonal form. As a result, shear stress at the wall is accurately predicted through a proposed formulation, valid all the way along the wall. It is also exhibited that there exists a transition region with a critical coordinate in the stream-wise direction in which the shear stress at the wall becomes zero. This universal coordinate (namely, the turning point) is determined as, reasonably close to, X c r. ≈ 13 23 ( X is a dimensionless coordinate measuring distance along the wall and η ˆ is the dimensionless non-similarity variable). |
abstractGer |
It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this respect, it is employed appropriate coordinate expansions to explore perturbatively the behavior of the flow near the similarity regions. A suitable composite transformation amalgamated with an abridgmentof the stream-wise coordinate, facilitated an immaculate numerical simulation of the involved nonlinear partial differential equation over the entire spatial domain ( 0 ≤ X < ∞ , 0 ≤ η ˆ < ∞ ) followed by quasi-linearization technique together with an implicit algorithm of a tridiagonal form. As a result, shear stress at the wall is accurately predicted through a proposed formulation, valid all the way along the wall. It is also exhibited that there exists a transition region with a critical coordinate in the stream-wise direction in which the shear stress at the wall becomes zero. This universal coordinate (namely, the turning point) is determined as, reasonably close to, X c r. ≈ 13 23 ( X is a dimensionless coordinate measuring distance along the wall and η ˆ is the dimensionless non-similarity variable). |
abstract_unstemmed |
It is constructed a set-up comprising a jet from a slit at the leading edge, discharged over a linearly stretching wall. The non-similar flow can be interpreted as a combination of two distinct similarity regions; Akatnow–Glauert flow at the leading edge and Crane flow far away from it. In this respect, it is employed appropriate coordinate expansions to explore perturbatively the behavior of the flow near the similarity regions. A suitable composite transformation amalgamated with an abridgmentof the stream-wise coordinate, facilitated an immaculate numerical simulation of the involved nonlinear partial differential equation over the entire spatial domain ( 0 ≤ X < ∞ , 0 ≤ η ˆ < ∞ ) followed by quasi-linearization technique together with an implicit algorithm of a tridiagonal form. As a result, shear stress at the wall is accurately predicted through a proposed formulation, valid all the way along the wall. It is also exhibited that there exists a transition region with a critical coordinate in the stream-wise direction in which the shear stress at the wall becomes zero. This universal coordinate (namely, the turning point) is determined as, reasonably close to, X c r. ≈ 13 23 ( X is a dimensionless coordinate measuring distance along the wall and η ˆ is the dimensionless non-similarity variable). |
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title_short |
The linearly stretching wall jet |
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10.1016/j.euromechflu.2019.12.001 |
up_date |
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