Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid

The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like (...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Bhattacharjee, Jayanta K. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Turbulence in stratified fluids Kolmogorov scaling Bolgiano-Obukhov scaling Universal crossover function

Übergeordnetes Werk:	Enthalten in: Physics letters / A - Amsterdam : North-Holland Publ., 1967, 417
Übergeordnetes Werk:	volume:417

DOI / URN:	10.1016/j.physleta.2021.127682

Katalog-ID:	ELV006709672

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245	1	0	\|a Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid
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520			\|a The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like ( k − 5 / 3 ) for R i ≪ 1 and Bolgiano-Obukhov like ( k − 11 / 5 ) for R i ≫ 1 . This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. The transition can be described by a universal curve in the E ( k ) vs k plane.
650		4	\|a Turbulence in stratified fluids
650		4	\|a Kolmogorov scaling
650		4	\|a Bolgiano-Obukhov scaling
650		4	\|a Universal crossover function
773	0	8	\|i Enthalten in \|t Physics letters / A \|d Amsterdam : North-Holland Publ., 1967 \|g 417 \|h Online-Ressource \|w (DE-627)266015298 \|w (DE-600)1466603-0 \|w (DE-576)074959905 \|x 1873-2429 \|7 nnns
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allfields	10.1016/j.physleta.2021.127682 doi (DE-627)ELV006709672 (ELSEVIER)S0375-9601(21)00546-6 DE-627 ger DE-627 rda eng 530 DE-600 33.00 bkl Bhattacharjee, Jayanta K. verfasserin (orcid)0000-0002-6813-3286 aut Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like ( k − 5 / 3 ) for R i ≪ 1 and Bolgiano-Obukhov like ( k − 11 / 5 ) for R i ≫ 1 . This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. The transition can be described by a universal curve in the E ( k ) vs k plane. Turbulence in stratified fluids Kolmogorov scaling Bolgiano-Obukhov scaling Universal crossover function Enthalten in Physics letters / A Amsterdam : North-Holland Publ., 1967 417 Online-Ressource (DE-627)266015298 (DE-600)1466603-0 (DE-576)074959905 1873-2429 nnns volume:417 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_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_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_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_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 33.00 Physik: Allgemeines AR 417
spelling	10.1016/j.physleta.2021.127682 doi (DE-627)ELV006709672 (ELSEVIER)S0375-9601(21)00546-6 DE-627 ger DE-627 rda eng 530 DE-600 33.00 bkl Bhattacharjee, Jayanta K. verfasserin (orcid)0000-0002-6813-3286 aut Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like ( k − 5 / 3 ) for R i ≪ 1 and Bolgiano-Obukhov like ( k − 11 / 5 ) for R i ≫ 1 . This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. The transition can be described by a universal curve in the E ( k ) vs k plane. Turbulence in stratified fluids Kolmogorov scaling Bolgiano-Obukhov scaling Universal crossover function Enthalten in Physics letters / A Amsterdam : North-Holland Publ., 1967 417 Online-Ressource (DE-627)266015298 (DE-600)1466603-0 (DE-576)074959905 1873-2429 nnns volume:417 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_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_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_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_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 33.00 Physik: Allgemeines AR 417
allfields_unstemmed	10.1016/j.physleta.2021.127682 doi (DE-627)ELV006709672 (ELSEVIER)S0375-9601(21)00546-6 DE-627 ger DE-627 rda eng 530 DE-600 33.00 bkl Bhattacharjee, Jayanta K. verfasserin (orcid)0000-0002-6813-3286 aut Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like ( k − 5 / 3 ) for R i ≪ 1 and Bolgiano-Obukhov like ( k − 11 / 5 ) for R i ≫ 1 . This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. The transition can be described by a universal curve in the E ( k ) vs k plane. Turbulence in stratified fluids Kolmogorov scaling Bolgiano-Obukhov scaling Universal crossover function Enthalten in Physics letters / A Amsterdam : North-Holland Publ., 1967 417 Online-Ressource (DE-627)266015298 (DE-600)1466603-0 (DE-576)074959905 1873-2429 nnns volume:417 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_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_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_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_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 33.00 Physik: Allgemeines AR 417
allfieldsGer	10.1016/j.physleta.2021.127682 doi (DE-627)ELV006709672 (ELSEVIER)S0375-9601(21)00546-6 DE-627 ger DE-627 rda eng 530 DE-600 33.00 bkl Bhattacharjee, Jayanta K. verfasserin (orcid)0000-0002-6813-3286 aut Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like ( k − 5 / 3 ) for R i ≪ 1 and Bolgiano-Obukhov like ( k − 11 / 5 ) for R i ≫ 1 . This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. The transition can be described by a universal curve in the E ( k ) vs k plane. Turbulence in stratified fluids Kolmogorov scaling Bolgiano-Obukhov scaling Universal crossover function Enthalten in Physics letters / A Amsterdam : North-Holland Publ., 1967 417 Online-Ressource (DE-627)266015298 (DE-600)1466603-0 (DE-576)074959905 1873-2429 nnns volume:417 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_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_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_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_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 33.00 Physik: Allgemeines AR 417
allfieldsSound	10.1016/j.physleta.2021.127682 doi (DE-627)ELV006709672 (ELSEVIER)S0375-9601(21)00546-6 DE-627 ger DE-627 rda eng 530 DE-600 33.00 bkl Bhattacharjee, Jayanta K. verfasserin (orcid)0000-0002-6813-3286 aut Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like ( k − 5 / 3 ) for R i ≪ 1 and Bolgiano-Obukhov like ( k − 11 / 5 ) for R i ≫ 1 . This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. The transition can be described by a universal curve in the E ( k ) vs k plane. Turbulence in stratified fluids Kolmogorov scaling Bolgiano-Obukhov scaling Universal crossover function Enthalten in Physics letters / A Amsterdam : North-Holland Publ., 1967 417 Online-Ressource (DE-627)266015298 (DE-600)1466603-0 (DE-576)074959905 1873-2429 nnns volume:417 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_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_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_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_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 33.00 Physik: Allgemeines AR 417
language	English
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topic_facet	Turbulence in stratified fluids Kolmogorov scaling Bolgiano-Obukhov scaling Universal crossover function
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author	Bhattacharjee, Jayanta K.
spellingShingle	Bhattacharjee, Jayanta K. ddc 530 bkl 33.00 misc Turbulence in stratified fluids misc Kolmogorov scaling misc Bolgiano-Obukhov scaling misc Universal crossover function Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid
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topic_title	530 DE-600 33.00 bkl Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid Turbulence in stratified fluids Kolmogorov scaling Bolgiano-Obukhov scaling Universal crossover function
topic	ddc 530 bkl 33.00 misc Turbulence in stratified fluids misc Kolmogorov scaling misc Bolgiano-Obukhov scaling misc Universal crossover function
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title	Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid
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title_full	Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid
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title_sort	universal crossover from kolmogorov to bolgiano-obukhov scaling in turbulence in a stably stratified fluid
title_auth	Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid
abstract	The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like ( k − 5 / 3 ) for R i ≪ 1 and Bolgiano-Obukhov like ( k − 11 / 5 ) for R i ≫ 1 . This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. The transition can be described by a universal curve in the E ( k ) vs k plane.
abstractGer	The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like ( k − 5 / 3 ) for R i ≪ 1 and Bolgiano-Obukhov like ( k − 11 / 5 ) for R i ≫ 1 . This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. The transition can be described by a universal curve in the E ( k ) vs k plane.
abstract_unstemmed	The energy spectrum E ( k ) of the turbulent kinetic energy at a given Richardson number Ri (a measure of stratification) is expected to be Kolmogorov-like ( k − 5 / 3 ) for R i ≪ 1 and Bolgiano-Obukhov like ( k − 11 / 5 ) for R i ≫ 1 . This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. The transition can be described by a universal curve in the E ( k ) vs k plane.
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title_short	Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid
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up_date	2024-07-06T22:18:07.875Z
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This transition has rarely been seen. Using the Heisenberg – Chandrasekhar formulation of turbulence, we show that the transition is actually determined by the combination Ri 4 / 3 k and not by Ri alone. 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Universal crossover from Kolmogorov to Bolgiano-Obukhov scaling in turbulence in a stably stratified fluid

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