Flow instabilities and heat transfer in buoyancy driven flows of inelastic non-Newtonian fluids in inclined rectangular cavities

Dennis Siginer, Lyes Khezzar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Steady two-dimensional natural convection in rectangular two dimensional cavities filled with non-Newtonian power law- Boussinesq fluids is numerically investigated. The conservation equations of mass, momentum and energy are solved using the finite volume method for varying inclination angles between 0° and 90°and two cavity height based Rayleigh numbers, Ra=104 and 105, a Prandtl number of Pr = 102 and two cavity aspect ratios of 1, 4. For the vertical inclination of 90°, computations were performed for two Rayleigh numbers Ra=104 and 105and three Prandtl numbers of Pr = 102, 103 and 104. In all of the numerical experiments, the channel is heated from below and cooled from the top with insulated side-walls and the inclination angle is varied. A comprehensive comparison between the Newtonian and the non-Newtonian cases is presented based on the dependence of the average Nusselt number Nu on the angle of inclination together with the Rayleigh number, Prandtl number, power law index n and aspect ratio dependent flow configurations which undergo several exchange of stability as the angle of inclination φ is gradually increased from the horizontal resulting in a rather sudden drop in the heat transfer rate triggered by the last loss of stability and transition to a single cell configuration. Despite significant differences in the heat transfer rate and flow configurations both Newtonian and non-Newtonian fluids of the power law type exhibit qualitatively similar behavior.

Original languageEnglish
Title of host publicationASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels, FEDSM2010
Pages1411-1420
Number of pages10
Volume1
EditionPARTS A, B AND C
DOIs
Publication statusPublished - Dec 1 2010
EventASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting, FEDSM 2010 Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels - Montreal, QC, Canada
Duration: Aug 1 2010Aug 5 2010

Other

OtherASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting, FEDSM 2010 Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels
CountryCanada
CityMontreal, QC
Period8/1/108/5/10

Fingerprint

Prandtl number
Buoyancy
Heat transfer
Fluids
Aspect ratio
Finite volume method
Nusselt number
Natural convection
Conservation
Momentum
Experiments

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

Siginer, D., & Khezzar, L. (2010). Flow instabilities and heat transfer in buoyancy driven flows of inelastic non-Newtonian fluids in inclined rectangular cavities. In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels, FEDSM2010 (PARTS A, B AND C ed., Vol. 1, pp. 1411-1420) https://doi.org/10.1115/FEDSM-ICNMM2010-30243
Siginer, Dennis ; Khezzar, Lyes. / Flow instabilities and heat transfer in buoyancy driven flows of inelastic non-Newtonian fluids in inclined rectangular cavities. ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels, FEDSM2010. Vol. 1 PARTS A, B AND C. ed. 2010. pp. 1411-1420
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title = "Flow instabilities and heat transfer in buoyancy driven flows of inelastic non-Newtonian fluids in inclined rectangular cavities",
abstract = "Steady two-dimensional natural convection in rectangular two dimensional cavities filled with non-Newtonian power law- Boussinesq fluids is numerically investigated. The conservation equations of mass, momentum and energy are solved using the finite volume method for varying inclination angles between 0° and 90°and two cavity height based Rayleigh numbers, Ra=104 and 105, a Prandtl number of Pr = 102 and two cavity aspect ratios of 1, 4. For the vertical inclination of 90°, computations were performed for two Rayleigh numbers Ra=104 and 105and three Prandtl numbers of Pr = 102, 103 and 104. In all of the numerical experiments, the channel is heated from below and cooled from the top with insulated side-walls and the inclination angle is varied. A comprehensive comparison between the Newtonian and the non-Newtonian cases is presented based on the dependence of the average Nusselt number Nu on the angle of inclination together with the Rayleigh number, Prandtl number, power law index n and aspect ratio dependent flow configurations which undergo several exchange of stability as the angle of inclination φ is gradually increased from the horizontal resulting in a rather sudden drop in the heat transfer rate triggered by the last loss of stability and transition to a single cell configuration. Despite significant differences in the heat transfer rate and flow configurations both Newtonian and non-Newtonian fluids of the power law type exhibit qualitatively similar behavior.",
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Siginer, D & Khezzar, L 2010, Flow instabilities and heat transfer in buoyancy driven flows of inelastic non-Newtonian fluids in inclined rectangular cavities. in ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels, FEDSM2010. PARTS A, B AND C edn, vol. 1, pp. 1411-1420, ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting, FEDSM 2010 Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels, Montreal, QC, Canada, 8/1/10. https://doi.org/10.1115/FEDSM-ICNMM2010-30243

Flow instabilities and heat transfer in buoyancy driven flows of inelastic non-Newtonian fluids in inclined rectangular cavities. / Siginer, Dennis; Khezzar, Lyes.

ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels, FEDSM2010. Vol. 1 PARTS A, B AND C. ed. 2010. p. 1411-1420.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - Steady two-dimensional natural convection in rectangular two dimensional cavities filled with non-Newtonian power law- Boussinesq fluids is numerically investigated. The conservation equations of mass, momentum and energy are solved using the finite volume method for varying inclination angles between 0° and 90°and two cavity height based Rayleigh numbers, Ra=104 and 105, a Prandtl number of Pr = 102 and two cavity aspect ratios of 1, 4. For the vertical inclination of 90°, computations were performed for two Rayleigh numbers Ra=104 and 105and three Prandtl numbers of Pr = 102, 103 and 104. In all of the numerical experiments, the channel is heated from below and cooled from the top with insulated side-walls and the inclination angle is varied. A comprehensive comparison between the Newtonian and the non-Newtonian cases is presented based on the dependence of the average Nusselt number Nu on the angle of inclination together with the Rayleigh number, Prandtl number, power law index n and aspect ratio dependent flow configurations which undergo several exchange of stability as the angle of inclination φ is gradually increased from the horizontal resulting in a rather sudden drop in the heat transfer rate triggered by the last loss of stability and transition to a single cell configuration. Despite significant differences in the heat transfer rate and flow configurations both Newtonian and non-Newtonian fluids of the power law type exhibit qualitatively similar behavior.

AB - Steady two-dimensional natural convection in rectangular two dimensional cavities filled with non-Newtonian power law- Boussinesq fluids is numerically investigated. The conservation equations of mass, momentum and energy are solved using the finite volume method for varying inclination angles between 0° and 90°and two cavity height based Rayleigh numbers, Ra=104 and 105, a Prandtl number of Pr = 102 and two cavity aspect ratios of 1, 4. For the vertical inclination of 90°, computations were performed for two Rayleigh numbers Ra=104 and 105and three Prandtl numbers of Pr = 102, 103 and 104. In all of the numerical experiments, the channel is heated from below and cooled from the top with insulated side-walls and the inclination angle is varied. A comprehensive comparison between the Newtonian and the non-Newtonian cases is presented based on the dependence of the average Nusselt number Nu on the angle of inclination together with the Rayleigh number, Prandtl number, power law index n and aspect ratio dependent flow configurations which undergo several exchange of stability as the angle of inclination φ is gradually increased from the horizontal resulting in a rather sudden drop in the heat transfer rate triggered by the last loss of stability and transition to a single cell configuration. Despite significant differences in the heat transfer rate and flow configurations both Newtonian and non-Newtonian fluids of the power law type exhibit qualitatively similar behavior.

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Siginer D, Khezzar L. Flow instabilities and heat transfer in buoyancy driven flows of inelastic non-Newtonian fluids in inclined rectangular cavities. In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels, FEDSM2010. PARTS A, B AND C ed. Vol. 1. 2010. p. 1411-1420 https://doi.org/10.1115/FEDSM-ICNMM2010-30243