Thermal Behavior of a Stagnant Gas Confined in a Horizontal Microchannel as Described by the Dual-Phase-Lag Heat Conduction Model
Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isotherma...
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| Autor*in: |
Al-Nimr, M. A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2004 |
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| Schlagwörter: |
dual-phase-lag heat conduction model |
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| Anmerkung: |
© Springer Science+Business Media, Inc. 2004 |
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| Übergeordnetes Werk: |
Enthalten in: International journal of thermophysics - Kluwer Academic Publishers-Plenum Publishers, 1980, 25(2004), 6 vom: Nov., Seite 1953-1964 |
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| Übergeordnetes Werk: |
volume:25 ; year:2004 ; number:6 ; month:11 ; pages:1953-1964 |
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| DOI / URN: |
10.1007/s10765-004-7749-y |
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OLC2076463674 |
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| 520 | |a Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isothermally and the lower one is kept adiabatic. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in this study. The effects of the Knudsen number Kn, the thermal relaxation time $ τ_{q} $, and the thermal retardation time $ τ_{T} $ on the microchannel thermal behavior are investigated using three heat conduction models. It is found that the deviations between the predictions of the parabolic and the hyperbolic models are insignificant. On the other hand, the deviations between the parabolic and dual-phase-lag models are significant under the same operating conditions. | ||
| 650 | 4 | |a dual-phase-lag heat conduction model | |
| 650 | 4 | |a horizontal microchannel | |
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| 650 | 4 | |a thermal behavior | |
| 700 | 1 | |a Khadrawi, A. F. |4 aut | |
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10.1007/s10765-004-7749-y doi (DE-627)OLC2076463674 (DE-He213)s10765-004-7749-y-p DE-627 ger DE-627 rakwb eng 530 VZ Al-Nimr, M. A. verfasserin aut Thermal Behavior of a Stagnant Gas Confined in a Horizontal Microchannel as Described by the Dual-Phase-Lag Heat Conduction Model 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2004 Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isothermally and the lower one is kept adiabatic. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in this study. The effects of the Knudsen number Kn, the thermal relaxation time $ τ_{q} $, and the thermal retardation time $ τ_{T} $ on the microchannel thermal behavior are investigated using three heat conduction models. It is found that the deviations between the predictions of the parabolic and the hyperbolic models are insignificant. On the other hand, the deviations between the parabolic and dual-phase-lag models are significant under the same operating conditions. dual-phase-lag heat conduction model horizontal microchannel macroscopic heat conduction models stagnant gas thermal behavior Khadrawi, A. F. aut Enthalten in International journal of thermophysics Kluwer Academic Publishers-Plenum Publishers, 1980 25(2004), 6 vom: Nov., Seite 1953-1964 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:25 year:2004 number:6 month:11 pages:1953-1964 https://doi.org/10.1007/s10765-004-7749-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_62 GBV_ILN_70 GBV_ILN_170 GBV_ILN_4012 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4700 AR 25 2004 6 11 1953-1964 |
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10.1007/s10765-004-7749-y doi (DE-627)OLC2076463674 (DE-He213)s10765-004-7749-y-p DE-627 ger DE-627 rakwb eng 530 VZ Al-Nimr, M. A. verfasserin aut Thermal Behavior of a Stagnant Gas Confined in a Horizontal Microchannel as Described by the Dual-Phase-Lag Heat Conduction Model 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2004 Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isothermally and the lower one is kept adiabatic. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in this study. The effects of the Knudsen number Kn, the thermal relaxation time $ τ_{q} $, and the thermal retardation time $ τ_{T} $ on the microchannel thermal behavior are investigated using three heat conduction models. It is found that the deviations between the predictions of the parabolic and the hyperbolic models are insignificant. On the other hand, the deviations between the parabolic and dual-phase-lag models are significant under the same operating conditions. dual-phase-lag heat conduction model horizontal microchannel macroscopic heat conduction models stagnant gas thermal behavior Khadrawi, A. F. aut Enthalten in International journal of thermophysics Kluwer Academic Publishers-Plenum Publishers, 1980 25(2004), 6 vom: Nov., Seite 1953-1964 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:25 year:2004 number:6 month:11 pages:1953-1964 https://doi.org/10.1007/s10765-004-7749-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_62 GBV_ILN_70 GBV_ILN_170 GBV_ILN_4012 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4700 AR 25 2004 6 11 1953-1964 |
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10.1007/s10765-004-7749-y doi (DE-627)OLC2076463674 (DE-He213)s10765-004-7749-y-p DE-627 ger DE-627 rakwb eng 530 VZ Al-Nimr, M. A. verfasserin aut Thermal Behavior of a Stagnant Gas Confined in a Horizontal Microchannel as Described by the Dual-Phase-Lag Heat Conduction Model 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2004 Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isothermally and the lower one is kept adiabatic. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in this study. The effects of the Knudsen number Kn, the thermal relaxation time $ τ_{q} $, and the thermal retardation time $ τ_{T} $ on the microchannel thermal behavior are investigated using three heat conduction models. It is found that the deviations between the predictions of the parabolic and the hyperbolic models are insignificant. On the other hand, the deviations between the parabolic and dual-phase-lag models are significant under the same operating conditions. dual-phase-lag heat conduction model horizontal microchannel macroscopic heat conduction models stagnant gas thermal behavior Khadrawi, A. F. aut Enthalten in International journal of thermophysics Kluwer Academic Publishers-Plenum Publishers, 1980 25(2004), 6 vom: Nov., Seite 1953-1964 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:25 year:2004 number:6 month:11 pages:1953-1964 https://doi.org/10.1007/s10765-004-7749-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_62 GBV_ILN_70 GBV_ILN_170 GBV_ILN_4012 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4700 AR 25 2004 6 11 1953-1964 |
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10.1007/s10765-004-7749-y doi (DE-627)OLC2076463674 (DE-He213)s10765-004-7749-y-p DE-627 ger DE-627 rakwb eng 530 VZ Al-Nimr, M. A. verfasserin aut Thermal Behavior of a Stagnant Gas Confined in a Horizontal Microchannel as Described by the Dual-Phase-Lag Heat Conduction Model 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2004 Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isothermally and the lower one is kept adiabatic. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in this study. The effects of the Knudsen number Kn, the thermal relaxation time $ τ_{q} $, and the thermal retardation time $ τ_{T} $ on the microchannel thermal behavior are investigated using three heat conduction models. It is found that the deviations between the predictions of the parabolic and the hyperbolic models are insignificant. On the other hand, the deviations between the parabolic and dual-phase-lag models are significant under the same operating conditions. dual-phase-lag heat conduction model horizontal microchannel macroscopic heat conduction models stagnant gas thermal behavior Khadrawi, A. F. aut Enthalten in International journal of thermophysics Kluwer Academic Publishers-Plenum Publishers, 1980 25(2004), 6 vom: Nov., Seite 1953-1964 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:25 year:2004 number:6 month:11 pages:1953-1964 https://doi.org/10.1007/s10765-004-7749-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_62 GBV_ILN_70 GBV_ILN_170 GBV_ILN_4012 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4700 AR 25 2004 6 11 1953-1964 |
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10.1007/s10765-004-7749-y doi (DE-627)OLC2076463674 (DE-He213)s10765-004-7749-y-p DE-627 ger DE-627 rakwb eng 530 VZ Al-Nimr, M. A. verfasserin aut Thermal Behavior of a Stagnant Gas Confined in a Horizontal Microchannel as Described by the Dual-Phase-Lag Heat Conduction Model 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2004 Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isothermally and the lower one is kept adiabatic. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in this study. The effects of the Knudsen number Kn, the thermal relaxation time $ τ_{q} $, and the thermal retardation time $ τ_{T} $ on the microchannel thermal behavior are investigated using three heat conduction models. It is found that the deviations between the predictions of the parabolic and the hyperbolic models are insignificant. On the other hand, the deviations between the parabolic and dual-phase-lag models are significant under the same operating conditions. dual-phase-lag heat conduction model horizontal microchannel macroscopic heat conduction models stagnant gas thermal behavior Khadrawi, A. F. aut Enthalten in International journal of thermophysics Kluwer Academic Publishers-Plenum Publishers, 1980 25(2004), 6 vom: Nov., Seite 1953-1964 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:25 year:2004 number:6 month:11 pages:1953-1964 https://doi.org/10.1007/s10765-004-7749-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_62 GBV_ILN_70 GBV_ILN_170 GBV_ILN_4012 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4700 AR 25 2004 6 11 1953-1964 |
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thermal behavior of a stagnant gas confined in a horizontal microchannel as described by the dual-phase-lag heat conduction model |
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Thermal Behavior of a Stagnant Gas Confined in a Horizontal Microchannel as Described by the Dual-Phase-Lag Heat Conduction Model |
| abstract |
Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isothermally and the lower one is kept adiabatic. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in this study. The effects of the Knudsen number Kn, the thermal relaxation time $ τ_{q} $, and the thermal retardation time $ τ_{T} $ on the microchannel thermal behavior are investigated using three heat conduction models. It is found that the deviations between the predictions of the parabolic and the hyperbolic models are insignificant. On the other hand, the deviations between the parabolic and dual-phase-lag models are significant under the same operating conditions. © Springer Science+Business Media, Inc. 2004 |
| abstractGer |
Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isothermally and the lower one is kept adiabatic. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in this study. The effects of the Knudsen number Kn, the thermal relaxation time $ τ_{q} $, and the thermal retardation time $ τ_{T} $ on the microchannel thermal behavior are investigated using three heat conduction models. It is found that the deviations between the predictions of the parabolic and the hyperbolic models are insignificant. On the other hand, the deviations between the parabolic and dual-phase-lag models are significant under the same operating conditions. © Springer Science+Business Media, Inc. 2004 |
| abstract_unstemmed |
Abstract The transient thermal behavior of a stagnant gas confined in a horizontal microchannel is investigated analytically under the effect of the dual-phase-lag heat conduction model. The microchannel is formed from two infinite horizontal parallel plates where the upper plate is heated isothermally and the lower one is kept adiabatic. The model that combines both the continuum approach and the possibility of slip at the boundary is adopted in this study. The effects of the Knudsen number Kn, the thermal relaxation time $ τ_{q} $, and the thermal retardation time $ τ_{T} $ on the microchannel thermal behavior are investigated using three heat conduction models. It is found that the deviations between the predictions of the parabolic and the hyperbolic models are insignificant. On the other hand, the deviations between the parabolic and dual-phase-lag models are significant under the same operating conditions. © Springer Science+Business Media, Inc. 2004 |
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Thermal Behavior of a Stagnant Gas Confined in a Horizontal Microchannel as Described by the Dual-Phase-Lag Heat Conduction Model |
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