Direct numerical simulation of confined weak round fountains in homogeneous ambient

Dong, Liqiang; Lin, Wenxian; Khatamifar, Mehdi

doi:10.1016/j.csite.2021.101528

Cited by 3 publications

(3 citation statements)

References 23 publications

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“…Additionally, Fr = 1.0 and Fr = 2.25 are found to distinguish the influence of Fr into three ranges. With a smaller Re , the influence of thermal conduction becomes more significant. Compared with the previous DNS results of confined weak round fountains, 27 it is found that it takes a shorter time for the plane fountain than the round one to fill the box of the same dimension, that is, the stratification rate of the plane fountain is larger than that of the round fountain with the same Fr and Re . Significant instability is observed for the confined weak round fountains during the filling process, however, there is no bobbing or flapping instability observed for the corresponding confined plane fountain.…”

Section: Discussioncontrasting

confidence: 61%

“…We showed that the confinement significantly changes the transient behavior of round fountains in the confined containers, particularly the intrusion, reversed flow, and stratification. We also used three‐dimensional direct numerical simulation (DNS) over 0.25 ≤ Fr ≤ 3.0, 5 ≤ Re ≤ 800, and 10 ≤ λ ≤ 35 to analyze the intrusion, reversed flow, and stratification of confined weak round fountains 27 and identified three development stages of the bulk entrainment rate. In the present study, our study 27 is extended to the confined weak laminar plane fountains.…”

Section: Introductionmentioning

confidence: 99%

“…We also used three‐dimensional direct numerical simulation (DNS) over 0.25 ≤ Fr ≤ 3.0, 5 ≤ Re ≤ 800, and 10 ≤ λ ≤ 35 to analyze the intrusion, reversed flow, and stratification of confined weak round fountains 27 and identified three development stages of the bulk entrainment rate. In the present study, our study 27 is extended to the confined weak laminar plane fountains.…”

Section: Introductionmentioning

confidence: 99%

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Direct numerical simulation of “fountain filling box” flow with a confined weak laminar plane fountain

et al. 2022

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A "fountain filling box" flow produced by discharging a weak laminar plane fountain in a confined open channel is studied numerically. Two-dimensional direct numerical simulations were performed for weak plane fountains. The development of the fountain flow experiences five stages; the initial upflow and the subsequent downflow after the fountain penetrates to the maximum height, followed by the outward movement of the intrusion of the fallen fountain fluid on the channel bottom, and then the wall fountain formed by the impingement of the intrusion on the vertical sidewall, which results in the reversed flow, and finally the gradual stratification of the fluid. The behavior of the intrusion can be approximately described with the plane gravity current theory. The period for the intrusion to reach the bounded side wall increases with increasing Re or decreasing Fr. Three regimes are found for the wall fountain behavior; "nofalling," "slumping down," and "rolling down" behavior. Convection, mixing, conduction, and filling all

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Section: Discussioncontrasting

confidence: 61%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Direct numerical simulation of “fountain filling box” flow with a confined weak laminar plane fountain

et al. 2022

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Behavior of weak axisymmetric fountain in homogeneous fluid with coexistent temperature and concentration effects

Xia

Liu²,

Gao³

et al. 2022

Case Studies in Thermal Engineering

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Penetration height of weak axisymmetric fountain in homogeneous fluid under the combined temperature and salinity effect

et al. 2022

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Fountains under combined temperature and salinity effect are common in environmental and industrial settings. The behavior of weak axisymmetric fountains under combined temperature and salinity effect is studied with two-dimensional direct numerical simulations over 0.25 ≤ Fr T ≤ 2.0 and −0.75 ≤ N ≤ 5.0, where Fr T is the Froude number based on temperature only and N is the buoyancy ratio quantifying the ratio of salinity to temperature contributed to density. The results show that for each Fr T, both the initial and time-average maximum fountain heights decrease when N increases as the combined negative buoyancy due to both temperature and salinity is strengthened, whereas as Fr T increases, they increase as the overall negative buoyancy reduces. If the overall Froude number, Fr, which is based on density due to the combined temperature and salinity contributions, is used instead of Fr T, the existing scaling relations for weak axisymmetric fountains with density coming from temperature only are also applicable for the weak axisymmetric fountains under the combined temperature and salinity effect when Fr ≲ 2.0, although there are slight differences in their quantified correlations due to the extra effect from the co-existing salinity. It is further shown that the effect from the co-existing salinity shifts the scaling relation for intermediate fountains with 2.0 ≲ Fr ≲ 4.0 with density from only one contributor to the scaling relation for weak fountains with Fr ≲ 2.0 with density coming from both temperature and salinity, further showing the additional effect of salinity.

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Direct numerical simulation of confined weak round fountains in homogeneous ambient

Cited by 3 publications

References 23 publications

Direct numerical simulation of “fountain filling box” flow with a confined weak laminar plane fountain

Direct numerical simulation of “fountain filling box” flow with a confined weak laminar plane fountain

Behavior of weak axisymmetric fountain in homogeneous fluid with coexistent temperature and concentration effects

Penetration height of weak axisymmetric fountain in homogeneous fluid under the combined temperature and salinity effect

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