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Characterization of a system generating a homogeneous isotropic turbulence field by free synthetic jets 总被引:1,自引:0,他引:1
Charles Goepfert Jean-Louis Marié Delphine Chareyron Michel Lance 《Experiments in fluids》2010,48(5):809-822
A facility inspired by Hwang and Eaton (2004a, b) for generating a homogeneous isotropic turbulence was built, the objective being to study evaporating droplets in the presence
of turbulence. Turbulence was produced by the mixing of six synthetic jets, in ambient atmosphere. Combined PIV and LDA techniques
were used to measure the statistical turbulence properties. The turbulence produced was found to be homogeneous isotropic
with a small mean flow within a domain having an average size of 50 mm × 50 mm × 50 mm. The rms fluctuations were of the order
of 0.9 m/s, corresponding to a Taylor Reynolds number of 240 and an integral length scale of about 40 mm. This apparatus proved
to be well suited to the study of the evaporation of droplets in a controlled turbulence field. 相似文献
124.
Lance Nielsen 《Acta Appl Math》2010,110(1):409-429
In this paper we develop a method of forming functions of noncommuting operators (or disentangling) using functions that are
not necessarily analytic at the origin in ℂ
n
. The method of disentangling follows Feynman’s heuristic rules from in (Feynman in Phys. Rev. 84:18–128, 1951) a mathematically rigorous fashion, generalizing the work of Jefferies and Johnson and the present author in (Jefferies and
Johnson in Russ. J. Math. 8:153–181, 2001) and (Jefferies et al. in J. Korean Math. Soc. 38:193–226, 2001). In fact, the work in (Jefferies and Johnson in Russ. J. Math. 8:153–181, 2001) and (Jefferies et al. in J. Korean Math. Soc. 38:193–226, 2001) allow only functions analytic in a polydisk centered at the origin in ℂ
n
while the method introduced in this paper enable functions that are not analytic at the origin to be used. It is shown that
the disentangling formalism introduced here reduces to that of (Jefferies and Johnson in Russ. J. Math. 8:153–181, 2001) and (Jefferies et al. in J. Korean Math. Soc. 38:193–226, 2001) under the appropriate assumptions. A basic commutativity theorem is also established. 相似文献
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129.
LetR be a ring and J its radical. DefineJ
1=∩Jn, J2=∩J
1
n
,…,… Jk=∩J
k−1
n
.... It is shown that in a ringR satisfying a polynomial identity and the ascending chain condition on ideals,J
k
=0 for some appropriatek.
The work of the first author was supported by an NSF grant at the University of Chicago. The work of the second author was
supported by an NSF grant at the University of California, San Diego. 相似文献
130.