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 language | English |
|---|---|
| Title of host publication | ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels, FEDSM2010 |
| Pages | 1411-1420 |
| Number of pages | 10 |
| Volume | 1 |
| Edition | PARTS A, B AND C |
| DOIs | |
| Publication status | Published - Dec 1 2010 |
| Event | 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 Duration: Aug 1 2010 → Aug 5 2010 |
Other
| Other | ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting, FEDSM 2010 Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels |
|---|---|
| Country | Canada |
| City | Montreal, QC |
| Period | 8/1/10 → 8/5/10 |
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All Science Journal Classification (ASJC) codes
- Mechanical Engineering
Cite this
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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 proceeding › Conference contribution
TY - GEN
T1 - Flow instabilities and heat transfer in buoyancy driven flows of inelastic non-Newtonian fluids in inclined rectangular cavities
AU - Siginer, Dennis
AU - Khezzar, Lyes
PY - 2010/12/1
Y1 - 2010/12/1
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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U2 - 10.1115/FEDSM-ICNMM2010-30243
DO - 10.1115/FEDSM-ICNMM2010-30243
M3 - Conference contribution
SN - 9780791849484
VL - 1
SP - 1411
EP - 1420
BT - ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting Collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels, FEDSM2010
ER -