期刊
PHYSICAL REVIEW E
卷 81, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.81.047301
关键词
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资金
- NSF [PHY-0555324, PHY-0855335]
- ONR
- Direct For Mathematical & Physical Scien [0855335] Funding Source: National Science Foundation
- Division Of Physics [0855335] Funding Source: National Science Foundation
For Pearson's model of Beacutenard-Marangoni convection, the Nusselt number Nu is proven to be bounded as a function Marangoni number Ma according to Nu < 0.838xMa(2/7) for infinite Prandtl number and according to Nu less than or similar to Ma(1/2) uniformly for finite Prandtl number. The analysis is also used to raise the lower bound for the critical Marangoni number for energy stability of the conduction solution from 56.77 to 58.36 when the Prandtl number is infinite.
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