Natural convection air flow in vertical upright-angled triangular cavities under realistic thermal boundary conditions
This paper presents an analytical and numerical computation of laminar natural convection in a collection of vertical upright-angled triangular cavities filled with air. The vertical wall is heated with a uniform heat flux; the inclined wall is cooled with a uniform temperature; while the u...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
VINCA Institute of Nuclear Sciences
2016-01-01
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| Series: | Thermal Science |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361400018S.pdf |
| Summary: | This paper presents an analytical and numerical computation of laminar
natural convection in a collection of vertical upright-angled triangular
cavities filled with air. The vertical wall is heated with a uniform heat
flux; the inclined wall is cooled with a uniform temperature; while the upper
horizontal wall is assumed thermally insulated. The defining aperture angle φ
is located at the lower vertex between the vertical and inclined walls. The
finite element method is implemented to perform the computational analysis of
the conservation equations for three aperture angles φ (= 15º, 30º and 45º)
and height-based modified Rayleigh numbers ranging from a low Ra = 0 (pure
conduction) to a high 109. Numerical results are reported for the velocity
and temperature fields as well as the Nusselt numbers at the heated vertical
wall. The numerical computations are also focused on the determination of the
value of the maximum or critical temperature along the hot vertical wall and
its dependence with the modified Rayleigh number and the aperture angle. |
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| ISSN: | 0354-9836 2334-7163 |