Abstract
Numerical predictions of the inclination effects on the buoyancy-induced oscillatory flow in a lid-driven arc-shaped cavity are presented in this report. Governing equations in terms of the stream function - vorticity formulation expressing the laws of conservation in mass, momentum, and energy are solved by the finite-volume method in curvilinear coordinates. Computations have been performed for various combinations of physical parameters. The inclination angle of the cavity (θ) is varied from 0° to 15°, the Reynolds number (Re) is assigned to be 100, 200, and 500, and the Grashof number (Gr) ranges from 3 × 105 to 1 × 107, while the Prandtl number is fixed at 0.71 for air. In these above ranges of the parameters, two kinds of oscillatory flow pattern have been observed, namely, the traversing-periodic and the half-periodic patterns. Attention has been focused on the effects of the inclination effects on the occurrence of these two different oscillatory flow patterns. Meanwhile, periodic variation in the mixed-convection heat transfer accompanying the oscillatory flow field has also been studied, and the results for the local and the overall Nusselt numbers are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 77-97 |
| Number of pages | 21 |
| Journal | Numerical Heat Transfer; Part A: Applications |
| Volume | 48 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2005 Jul 1 |
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All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Condensed Matter Physics
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Numerical study of effects of inclination on buoyancy-induced flow oscillation in a lid-driven arc-shaped cavity. / Cheng, Chin-Hsiang; Chen, Chin Lung.
In: Numerical Heat Transfer; Part A: Applications, Vol. 48, No. 1, 01.07.2005, p. 77-97.Research output: Contribution to journal › Article
TY - JOUR
T1 - Numerical study of effects of inclination on buoyancy-induced flow oscillation in a lid-driven arc-shaped cavity
AU - Cheng, Chin-Hsiang
AU - Chen, Chin Lung
PY - 2005/7/1
Y1 - 2005/7/1
N2 - Numerical predictions of the inclination effects on the buoyancy-induced oscillatory flow in a lid-driven arc-shaped cavity are presented in this report. Governing equations in terms of the stream function - vorticity formulation expressing the laws of conservation in mass, momentum, and energy are solved by the finite-volume method in curvilinear coordinates. Computations have been performed for various combinations of physical parameters. The inclination angle of the cavity (θ) is varied from 0° to 15°, the Reynolds number (Re) is assigned to be 100, 200, and 500, and the Grashof number (Gr) ranges from 3 × 105 to 1 × 107, while the Prandtl number is fixed at 0.71 for air. In these above ranges of the parameters, two kinds of oscillatory flow pattern have been observed, namely, the traversing-periodic and the half-periodic patterns. Attention has been focused on the effects of the inclination effects on the occurrence of these two different oscillatory flow patterns. Meanwhile, periodic variation in the mixed-convection heat transfer accompanying the oscillatory flow field has also been studied, and the results for the local and the overall Nusselt numbers are presented.
AB - Numerical predictions of the inclination effects on the buoyancy-induced oscillatory flow in a lid-driven arc-shaped cavity are presented in this report. Governing equations in terms of the stream function - vorticity formulation expressing the laws of conservation in mass, momentum, and energy are solved by the finite-volume method in curvilinear coordinates. Computations have been performed for various combinations of physical parameters. The inclination angle of the cavity (θ) is varied from 0° to 15°, the Reynolds number (Re) is assigned to be 100, 200, and 500, and the Grashof number (Gr) ranges from 3 × 105 to 1 × 107, while the Prandtl number is fixed at 0.71 for air. In these above ranges of the parameters, two kinds of oscillatory flow pattern have been observed, namely, the traversing-periodic and the half-periodic patterns. Attention has been focused on the effects of the inclination effects on the occurrence of these two different oscillatory flow patterns. Meanwhile, periodic variation in the mixed-convection heat transfer accompanying the oscillatory flow field has also been studied, and the results for the local and the overall Nusselt numbers are presented.
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U2 - 10.1080/10407780590929955
DO - 10.1080/10407780590929955
M3 - Article
VL - 48
SP - 77
EP - 97
JO - Numerical Heat Transfer; Part A: Applications
JF - Numerical Heat Transfer; Part A: Applications
SN - 1040-7782
IS - 1
ER -