Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation

Abstract In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to %$10^{30}%$) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The...
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Autor*in:	Islam, Sumaiya B. [verfasserIn] Shefa, Suraiya A. Khaleque, Tania S.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Mantle convection Variable viscosity Viscous dissipation Rayleigh–Bénard convection Viscosity variation

Anmerkung:	© The Author(s) 2022

Übergeordnetes Werk:	Enthalten in: Journal of the Egyptian Mathematical Society - Berlin : Springer, 2011, 30(2022), 1 vom: 09. Feb.
Übergeordnetes Werk:	volume:30 ; year:2022 ; number:1 ; day:09 ; month:02

Links:	Volltext

DOI / URN:	10.1186/s42787-022-00139-w

Katalog-ID:	SPR046196455

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allfields	10.1186/s42787-022-00139-w doi (DE-627)SPR046196455 (SPR)s42787-022-00139-w-e DE-627 ger DE-627 rakwb eng Islam, Sumaiya B. verfasserin aut Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to %$10^{30}%$) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter. Mantle convection (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Viscous dissipation (dpeaa)DE-He213 Rayleigh–Bénard convection (dpeaa)DE-He213 Viscosity variation (dpeaa)DE-He213 Shefa, Suraiya A. aut Khaleque, Tania S. (orcid)0000-0002-6010-2450 aut Enthalten in Journal of the Egyptian Mathematical Society Berlin : Springer, 2011 30(2022), 1 vom: 09. Feb. (DE-627)746705883 (DE-600)2716732-X 2090-9128 nnns volume:30 year:2022 number:1 day:09 month:02 https://dx.doi.org/10.1186/s42787-022-00139-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 30 2022 1 09 02
spelling	10.1186/s42787-022-00139-w doi (DE-627)SPR046196455 (SPR)s42787-022-00139-w-e DE-627 ger DE-627 rakwb eng Islam, Sumaiya B. verfasserin aut Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to %$10^{30}%$) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter. Mantle convection (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Viscous dissipation (dpeaa)DE-He213 Rayleigh–Bénard convection (dpeaa)DE-He213 Viscosity variation (dpeaa)DE-He213 Shefa, Suraiya A. aut Khaleque, Tania S. (orcid)0000-0002-6010-2450 aut Enthalten in Journal of the Egyptian Mathematical Society Berlin : Springer, 2011 30(2022), 1 vom: 09. Feb. (DE-627)746705883 (DE-600)2716732-X 2090-9128 nnns volume:30 year:2022 number:1 day:09 month:02 https://dx.doi.org/10.1186/s42787-022-00139-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 30 2022 1 09 02
allfields_unstemmed	10.1186/s42787-022-00139-w doi (DE-627)SPR046196455 (SPR)s42787-022-00139-w-e DE-627 ger DE-627 rakwb eng Islam, Sumaiya B. verfasserin aut Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to %$10^{30}%$) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter. Mantle convection (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Viscous dissipation (dpeaa)DE-He213 Rayleigh–Bénard convection (dpeaa)DE-He213 Viscosity variation (dpeaa)DE-He213 Shefa, Suraiya A. aut Khaleque, Tania S. (orcid)0000-0002-6010-2450 aut Enthalten in Journal of the Egyptian Mathematical Society Berlin : Springer, 2011 30(2022), 1 vom: 09. Feb. (DE-627)746705883 (DE-600)2716732-X 2090-9128 nnns volume:30 year:2022 number:1 day:09 month:02 https://dx.doi.org/10.1186/s42787-022-00139-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 30 2022 1 09 02
allfieldsGer	10.1186/s42787-022-00139-w doi (DE-627)SPR046196455 (SPR)s42787-022-00139-w-e DE-627 ger DE-627 rakwb eng Islam, Sumaiya B. verfasserin aut Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to %$10^{30}%$) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter. Mantle convection (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Viscous dissipation (dpeaa)DE-He213 Rayleigh–Bénard convection (dpeaa)DE-He213 Viscosity variation (dpeaa)DE-He213 Shefa, Suraiya A. aut Khaleque, Tania S. (orcid)0000-0002-6010-2450 aut Enthalten in Journal of the Egyptian Mathematical Society Berlin : Springer, 2011 30(2022), 1 vom: 09. Feb. (DE-627)746705883 (DE-600)2716732-X 2090-9128 nnns volume:30 year:2022 number:1 day:09 month:02 https://dx.doi.org/10.1186/s42787-022-00139-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 30 2022 1 09 02
allfieldsSound	10.1186/s42787-022-00139-w doi (DE-627)SPR046196455 (SPR)s42787-022-00139-w-e DE-627 ger DE-627 rakwb eng Islam, Sumaiya B. verfasserin aut Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to %$10^{30}%$) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter. Mantle convection (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Viscous dissipation (dpeaa)DE-He213 Rayleigh–Bénard convection (dpeaa)DE-He213 Viscosity variation (dpeaa)DE-He213 Shefa, Suraiya A. aut Khaleque, Tania S. (orcid)0000-0002-6010-2450 aut Enthalten in Journal of the Egyptian Mathematical Society Berlin : Springer, 2011 30(2022), 1 vom: 09. Feb. (DE-627)746705883 (DE-600)2716732-X 2090-9128 nnns volume:30 year:2022 number:1 day:09 month:02 https://dx.doi.org/10.1186/s42787-022-00139-w kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 30 2022 1 09 02
language	English
source	Enthalten in Journal of the Egyptian Mathematical Society 30(2022), 1 vom: 09. Feb. volume:30 year:2022 number:1 day:09 month:02
sourceStr	Enthalten in Journal of the Egyptian Mathematical Society 30(2022), 1 vom: 09. Feb. volume:30 year:2022 number:1 day:09 month:02
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Mantle convection Variable viscosity Viscous dissipation Rayleigh–Bénard convection Viscosity variation
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author	Islam, Sumaiya B.
spellingShingle	Islam, Sumaiya B. misc Mantle convection misc Variable viscosity misc Viscous dissipation misc Rayleigh–Bénard convection misc Viscosity variation Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation
authorStr	Islam, Sumaiya B.
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topic_title	Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation Mantle convection (dpeaa)DE-He213 Variable viscosity (dpeaa)DE-He213 Viscous dissipation (dpeaa)DE-He213 Rayleigh–Bénard convection (dpeaa)DE-He213 Viscosity variation (dpeaa)DE-He213
topic	misc Mantle convection misc Variable viscosity misc Viscous dissipation misc Rayleigh–Bénard convection misc Viscosity variation
topic_unstemmed	misc Mantle convection misc Variable viscosity misc Viscous dissipation misc Rayleigh–Bénard convection misc Viscosity variation
topic_browse	misc Mantle convection misc Variable viscosity misc Viscous dissipation misc Rayleigh–Bénard convection misc Viscosity variation
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title	Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation
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title_full	Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation
author_sort	Islam, Sumaiya B.
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author_browse	Islam, Sumaiya B. Shefa, Suraiya A. Khaleque, Tania S.
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author-letter	Islam, Sumaiya B.
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title_sort	mathematical modelling of mantle convection at a high rayleigh number with variable viscosity and viscous dissipation
title_auth	Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation
abstract	Abstract In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to %$10^{30}%$) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter. © The Author(s) 2022
abstractGer	Abstract In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to %$10^{30}%$) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter. © The Author(s) 2022
abstract_unstemmed	Abstract In this paper, the classical Rayleigh–Bénard convection model is considered and solved numerically for extremely large viscosity variations (i.e., up to %$10^{30}%$) across the mantle at a high Rayleigh number. The Arrhenius form of viscosity is defined as a cut-off viscosity function. The effects of viscosity variation and viscous dissipation on convection with temperature-dependent viscosity and also temperature- and pressure-dependent viscosity are shown through the figures of temperature profiles and streamline contours. The values of Nusselt number and root mean square velocity indicate that the convection becomes significantly weak as viscosity variation and viscous dissipation are increased at a fixed pressure dependence parameter. © The Author(s) 2022
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title_short	Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation
url	https://dx.doi.org/10.1186/s42787-022-00139-w
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author2	Shefa, Suraiya A. Khaleque, Tania S.
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