2008
DOI: 10.1016/j.ijheatmasstransfer.2007.07.025
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Large-eddy simulation of transition to turbulence in natural convection in a horizontal annular cavity

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Cited by 28 publications
(12 citation statements)
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References 37 publications
(82 reference statements)
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“…U is the averaged velocity, 0 u the velocity at the mid-plane of the channel, D the diameter of the pipe, h the half-width of the channel for plane Poiseuille flow (L=2h) and plane Couette flow. The experimental data for plane Poiseuille flow and pipe Poiseuille flow are taken from Patel and Head [24]. The experimental data for plane Couette flow is taken from Tillmark and Alfredsson [25], Daviaud et al [26], and Malerud et al [27].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…U is the averaged velocity, 0 u the velocity at the mid-plane of the channel, D the diameter of the pipe, h the half-width of the channel for plane Poiseuille flow (L=2h) and plane Couette flow. The experimental data for plane Poiseuille flow and pipe Poiseuille flow are taken from Patel and Head [24]. The experimental data for plane Couette flow is taken from Tillmark and Alfredsson [25], Daviaud et al [26], and Malerud et al [27].…”
Section: Discussionmentioning
confidence: 99%
“…These research works mostly concentrate on the convective heat transfer problems (Yoo, 1998;Zarate et al, 2001;Kang et al, 2001;). The full developed turbulence flow was simulated using LES (large eddy simulation) method (Lee et al, 2004;Padilla and Silveira-Neto, 2008). Linear stability analysis has been used to study the instability and transition under the convective heat transfer (Dyko et al, 1999; Labonia ang Guj, 1998; Petrone et al, 2006;Adachi and Imai, 2007).…”
Section: Introductionmentioning
confidence: 99%
“…They found that multiple solutions are possible. Padilla and Silveira-Neto [22] looked at transition to turbulence in free convection in a horizontal cylindrical annulus by using a numerical analysis. The results are presented for immediate and time-averaged flows and also local and average Nusselt numbers.…”
Section: Introductionmentioning
confidence: 99%
“…The grid independence test of the numerical solution was performed for a relatively large Ra  1.89x10 5 using non-uniform grids consisting in 30x30x30 , 40x40x40and 50x50x50 nodes with proper refinement near the walls from a factor of expansion/reduction of 5% (Padilla and Silveira-Neto, 2008). Comparing the numerical results between coarse and medium grids in relation to the fine grid, the relative differences in the maximum horizontal velocity are of 0.79% and 0.12%, and the relative differences in the mean Nusselt numbers are 2.14% and 0.60%, respectively, The original numbers are listed in Table 1.…”
Section: Mathematical Modelmentioning
confidence: 99%