A Reynolds shear stress model for constant-pressure boundary layers
Closure models for the Reynolds shear stress in wall-bounded flows are mostly based on various turbulence quantities like the turbulent kinetic energy (k), its dissipation rate (ϵ), the Reynolds stress ( v r 2) in the wall-normal direction, the mean flow velocity gradient (S), the normalized strain...
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| creator | Dey, J. P., Phani Kumar |
| description | Closure models for the Reynolds shear stress in wall-bounded flows are mostly based on various turbulence quantities like the turbulent kinetic energy (k), its dissipation rate (ϵ), the Reynolds stress (
v
r
2) in the wall-normal direction, the mean flow velocity gradient (S), the normalized strain rate
(
S
k
/
ϵ
), etc.; vr is the intensity of the fluctuating velocity component in the wall-normal direction (y). Close to the wall,
(
u
′
v
′
¯
) is known to vary with y approximately as
∼
y
3. With an emphasis on this near-wall feature, a closure model is proposed here in terms of k,
(
v
r
/
u
r
), and a weighted mean strain rate
(
S
k
v
r
+
/
ϵ
); ur is the intensity of the fluctuating velocity component in the streamwise direction. The choice of ur in the present proposal is in view of the fact that, although the energy associated with
u
r
2 in a simple flow, for example, is distributed to
v
r
2 by fluctuating pressure, it has never been used in past closure models. In terms of the known approximate variations of
k
,
v
r
,
u
r, etc., with y in the near-wall region, the present model suggests
(
u
′
v
′
¯
)
∼
y
3.25 and so nearly retains its known approximate variation
∼
y
3 (for small y). It is suggested here that
v
r
+ in the weighted strain rate damps the strain rate
(
S
k
/
ϵ
) significantly in the near-wall region and plays a similar role in Durbin's model [“Near-wall turbulence closure modeling without damping functions,” Theor. Comput. Fluid Dyn. 3, 1 (1991)]. It is also reported here that
v
r
≈
k
1
/
2 and
u
r
≈
(
ϵ
/
S
)
1
/
2 in the outer region, and these velocity scales are associated with
(
S
k
/
ϵ
)
∼ constant in this region; alternatively, in terms of these velocity scales, the normalized strain rate
(
S
k
/
ϵ
) is the ratio of the Reynolds stresses
(
v
r
2
/
u
r
2
) in the outer region. |
| doi_str_mv | 10.1063/5.0045175 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_scita</sourceid><recordid>TN_cdi_scitation_primary_10_1063_5_0045175</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2527325807</sourcerecordid><originalsourceid>FETCH-LOGICAL-c257t-34a75fd615e33943c696b17a82a326263cf6eb989fa826adda3bb928d41e51b63</originalsourceid><addsrcrecordid>eNp90M1KAzEQAOAgCtbqwTcIeFLYmp_NZHMsxapQEETPIbtJsGW7WZOs0Ld3S4seBE8zzHzMDIPQNSUzSoDfixkhpaBSnKAJJZUqJACc7nNJCgBOz9FFShtCCFcMJmgxx69u14XWJpw-nIk45ehSwttgXYt9iLgJXcqmy0W_bwzR4ToMnTVxh1uzczFdojNv2uSujnGK3pcPb4unYvXy-LyYr4qGCZkLXhopvAUqHOeq5A0oqKk0FTOcAQPeeHC1qpQfS2CsNbyuFatsSZ2gNfApujnM7WP4HFzKehOG2I0rNRNMciYqIkd1e1BNDClF53Uf19vxWk2J3v9IC3380WjvDjY162zyOnQ_-CvEX6h76__Dfyd_A7kOdF8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2527325807</pqid></control><display><type>article</type><title>A Reynolds shear stress model for constant-pressure boundary layers</title><source>AIP Journals Complete</source><source>Alma/SFX Local Collection</source><creator>Dey, J. ; P., Phani Kumar</creator><creatorcontrib>Dey, J. ; P., Phani Kumar</creatorcontrib><description>Closure models for the Reynolds shear stress in wall-bounded flows are mostly based on various turbulence quantities like the turbulent kinetic energy (k), its dissipation rate (ϵ), the Reynolds stress (
v
r
2) in the wall-normal direction, the mean flow velocity gradient (S), the normalized strain rate
(
S
k
/
ϵ
), etc.; vr is the intensity of the fluctuating velocity component in the wall-normal direction (y). Close to the wall,
(
u
′
v
′
¯
) is known to vary with y approximately as
∼
y
3. With an emphasis on this near-wall feature, a closure model is proposed here in terms of k,
(
v
r
/
u
r
), and a weighted mean strain rate
(
S
k
v
r
+
/
ϵ
); ur is the intensity of the fluctuating velocity component in the streamwise direction. The choice of ur in the present proposal is in view of the fact that, although the energy associated with
u
r
2 in a simple flow, for example, is distributed to
v
r
2 by fluctuating pressure, it has never been used in past closure models. In terms of the known approximate variations of
k
,
v
r
,
u
r, etc., with y in the near-wall region, the present model suggests
(
u
′
v
′
¯
)
∼
y
3.25 and so nearly retains its known approximate variation
∼
y
3 (for small y). It is suggested here that
v
r
+ in the weighted strain rate damps the strain rate
(
S
k
/
ϵ
) significantly in the near-wall region and plays a similar role in Durbin's model [“Near-wall turbulence closure modeling without damping functions,” Theor. Comput. Fluid Dyn. 3, 1 (1991)]. It is also reported here that
v
r
≈
k
1
/
2 and
u
r
≈
(
ϵ
/
S
)
1
/
2 in the outer region, and these velocity scales are associated with
(
S
k
/
ϵ
)
∼ constant in this region; alternatively, in terms of these velocity scales, the normalized strain rate
(
S
k
/
ϵ
) is the ratio of the Reynolds stresses
(
v
r
2
/
u
r
2
) in the outer region.</description><identifier>ISSN: 1070-6631</identifier><identifier>EISSN: 1089-7666</identifier><identifier>DOI: 10.1063/5.0045175</identifier><identifier>CODEN: PHFLE6</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Boundary layers ; Computational fluid dynamics ; Damping ; Energy dissipation ; Flow velocity ; Fluid dynamics ; Fluid flow ; Kinetic energy ; Physics ; Reynolds stress ; Shear stress ; Strain rate ; Stress concentration ; Turbulence ; Velocity gradient</subject><ispartof>Physics of fluids (1994), 2021-05, Vol.33 (5)</ispartof><rights>Author(s)</rights><rights>2021 Author(s). Published under license by AIP Publishing.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c257t-34a75fd615e33943c696b17a82a326263cf6eb989fa826adda3bb928d41e51b63</citedby><cites>FETCH-LOGICAL-c257t-34a75fd615e33943c696b17a82a326263cf6eb989fa826adda3bb928d41e51b63</cites><orcidid>0000-0001-6413-7733</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,794,4512,27924,27925</link.rule.ids></links><search><creatorcontrib>Dey, J.</creatorcontrib><creatorcontrib>P., Phani Kumar</creatorcontrib><title>A Reynolds shear stress model for constant-pressure boundary layers</title><title>Physics of fluids (1994)</title><description>Closure models for the Reynolds shear stress in wall-bounded flows are mostly based on various turbulence quantities like the turbulent kinetic energy (k), its dissipation rate (ϵ), the Reynolds stress (
v
r
2) in the wall-normal direction, the mean flow velocity gradient (S), the normalized strain rate
(
S
k
/
ϵ
), etc.; vr is the intensity of the fluctuating velocity component in the wall-normal direction (y). Close to the wall,
(
u
′
v
′
¯
) is known to vary with y approximately as
∼
y
3. With an emphasis on this near-wall feature, a closure model is proposed here in terms of k,
(
v
r
/
u
r
), and a weighted mean strain rate
(
S
k
v
r
+
/
ϵ
); ur is the intensity of the fluctuating velocity component in the streamwise direction. The choice of ur in the present proposal is in view of the fact that, although the energy associated with
u
r
2 in a simple flow, for example, is distributed to
v
r
2 by fluctuating pressure, it has never been used in past closure models. In terms of the known approximate variations of
k
,
v
r
,
u
r, etc., with y in the near-wall region, the present model suggests
(
u
′
v
′
¯
)
∼
y
3.25 and so nearly retains its known approximate variation
∼
y
3 (for small y). It is suggested here that
v
r
+ in the weighted strain rate damps the strain rate
(
S
k
/
ϵ
) significantly in the near-wall region and plays a similar role in Durbin's model [“Near-wall turbulence closure modeling without damping functions,” Theor. Comput. Fluid Dyn. 3, 1 (1991)]. It is also reported here that
v
r
≈
k
1
/
2 and
u
r
≈
(
ϵ
/
S
)
1
/
2 in the outer region, and these velocity scales are associated with
(
S
k
/
ϵ
)
∼ constant in this region; alternatively, in terms of these velocity scales, the normalized strain rate
(
S
k
/
ϵ
) is the ratio of the Reynolds stresses
(
v
r
2
/
u
r
2
) in the outer region.</description><subject>Boundary layers</subject><subject>Computational fluid dynamics</subject><subject>Damping</subject><subject>Energy dissipation</subject><subject>Flow velocity</subject><subject>Fluid dynamics</subject><subject>Fluid flow</subject><subject>Kinetic energy</subject><subject>Physics</subject><subject>Reynolds stress</subject><subject>Shear stress</subject><subject>Strain rate</subject><subject>Stress concentration</subject><subject>Turbulence</subject><subject>Velocity gradient</subject><issn>1070-6631</issn><issn>1089-7666</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp90M1KAzEQAOAgCtbqwTcIeFLYmp_NZHMsxapQEETPIbtJsGW7WZOs0Ld3S4seBE8zzHzMDIPQNSUzSoDfixkhpaBSnKAJJZUqJACc7nNJCgBOz9FFShtCCFcMJmgxx69u14XWJpw-nIk45ehSwttgXYt9iLgJXcqmy0W_bwzR4ToMnTVxh1uzczFdojNv2uSujnGK3pcPb4unYvXy-LyYr4qGCZkLXhopvAUqHOeq5A0oqKk0FTOcAQPeeHC1qpQfS2CsNbyuFatsSZ2gNfApujnM7WP4HFzKehOG2I0rNRNMciYqIkd1e1BNDClF53Uf19vxWk2J3v9IC3380WjvDjY162zyOnQ_-CvEX6h76__Dfyd_A7kOdF8</recordid><startdate>202105</startdate><enddate>202105</enddate><creator>Dey, J.</creator><creator>P., Phani Kumar</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0001-6413-7733</orcidid></search><sort><creationdate>202105</creationdate><title>A Reynolds shear stress model for constant-pressure boundary layers</title><author>Dey, J. ; P., Phani Kumar</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c257t-34a75fd615e33943c696b17a82a326263cf6eb989fa826adda3bb928d41e51b63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Boundary layers</topic><topic>Computational fluid dynamics</topic><topic>Damping</topic><topic>Energy dissipation</topic><topic>Flow velocity</topic><topic>Fluid dynamics</topic><topic>Fluid flow</topic><topic>Kinetic energy</topic><topic>Physics</topic><topic>Reynolds stress</topic><topic>Shear stress</topic><topic>Strain rate</topic><topic>Stress concentration</topic><topic>Turbulence</topic><topic>Velocity gradient</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dey, J.</creatorcontrib><creatorcontrib>P., Phani Kumar</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physics of fluids (1994)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dey, J.</au><au>P., Phani Kumar</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Reynolds shear stress model for constant-pressure boundary layers</atitle><jtitle>Physics of fluids (1994)</jtitle><date>2021-05</date><risdate>2021</risdate><volume>33</volume><issue>5</issue><issn>1070-6631</issn><eissn>1089-7666</eissn><coden>PHFLE6</coden><abstract>Closure models for the Reynolds shear stress in wall-bounded flows are mostly based on various turbulence quantities like the turbulent kinetic energy (k), its dissipation rate (ϵ), the Reynolds stress (
v
r
2) in the wall-normal direction, the mean flow velocity gradient (S), the normalized strain rate
(
S
k
/
ϵ
), etc.; vr is the intensity of the fluctuating velocity component in the wall-normal direction (y). Close to the wall,
(
u
′
v
′
¯
) is known to vary with y approximately as
∼
y
3. With an emphasis on this near-wall feature, a closure model is proposed here in terms of k,
(
v
r
/
u
r
), and a weighted mean strain rate
(
S
k
v
r
+
/
ϵ
); ur is the intensity of the fluctuating velocity component in the streamwise direction. The choice of ur in the present proposal is in view of the fact that, although the energy associated with
u
r
2 in a simple flow, for example, is distributed to
v
r
2 by fluctuating pressure, it has never been used in past closure models. In terms of the known approximate variations of
k
,
v
r
,
u
r, etc., with y in the near-wall region, the present model suggests
(
u
′
v
′
¯
)
∼
y
3.25 and so nearly retains its known approximate variation
∼
y
3 (for small y). It is suggested here that
v
r
+ in the weighted strain rate damps the strain rate
(
S
k
/
ϵ
) significantly in the near-wall region and plays a similar role in Durbin's model [“Near-wall turbulence closure modeling without damping functions,” Theor. Comput. Fluid Dyn. 3, 1 (1991)]. It is also reported here that
v
r
≈
k
1
/
2 and
u
r
≈
(
ϵ
/
S
)
1
/
2 in the outer region, and these velocity scales are associated with
(
S
k
/
ϵ
)
∼ constant in this region; alternatively, in terms of these velocity scales, the normalized strain rate
(
S
k
/
ϵ
) is the ratio of the Reynolds stresses
(
v
r
2
/
u
r
2
) in the outer region.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0045175</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0001-6413-7733</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1070-6631 |
| ispartof | Physics of fluids (1994), 2021-05, Vol.33 (5) |
| issn | 1070-6631 1089-7666 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_5_0045175 |
| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Boundary layers Computational fluid dynamics Damping Energy dissipation Flow velocity Fluid dynamics Fluid flow Kinetic energy Physics Reynolds stress Shear stress Strain rate Stress concentration Turbulence Velocity gradient |
| title | A Reynolds shear stress model for constant-pressure boundary layers |
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