STIELTJES INTEGRAL-REPRESENTATION OF EFFECTIVE DIFFUSIVITIES IN TIME-DEPENDENT FLOWS

被引：36

作者：

AVELLANEDA, M ^{[1
]}

VERGASSOLA, M ^{[1
]}

机构：

[1] PRINCETON UNIV,FLUID DYNAM RES CTR,PRINCETON,NJ 08544

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.52.3249

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A Stieltjes integral representation for the effective diffusivity of a passive scalar in time-dependent, incompressible hows is developed. The representation provides a summability formula for the perturbative expansion of the diffusivity in powers of the Peclet number. In particular, upper and lower bounds on the effective diffusivity are obtained from Pade approximants of the series.

引用

页码：3249 / 3251

页数：3

共 7 条

[1] AN INTEGRAL-REPRESENTATION AND BOUNDS ON THE EFFECTIVE DIFFUSIVITY IN PASSIVE ADVECTION BY LAMINAR AND TURBULENT FLOWS
AVELLANEDA, M
MAJDA, AJ
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 138 (02) : 339 - 391
[2] STIELTJES INTEGRAL-REPRESENTATION AND EFFECTIVE DIFFUSIVITY BOUNDS FOR TURBULENT TRANSPORT
AVELLANEDA, M
MAJDA, AJ
[J]. PHYSICAL REVIEW LETTERS, 1989, 62 (07) : 753 - 755
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