CONVECTION ENHANCED DIFFUSION FOR PERIODIC FLOWS

被引:181
作者
FANNJIANG, A
PAPANICOLAOU, G
机构
[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
[2] INST ADV STUDY,PRINCETON,NJ 08540
关键词
DIFFUSION; HOMOGENIZATION; CONVECTION;
D O I
10.1137/S0036139992236785
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies the influence of convection by periodic or cellular flows on the effective diffusivity of a passive scaler transported by the fluid when the molecular diffusivity is small. The flows are generated by two-dimensional, steady, divergence-free, periodic velocity fields.
引用
收藏
页码:333 / 408
页数:76
相关论文
共 26 条
[1]   AN INTEGRAL-REPRESENTATION AND BOUNDS ON THE EFFECTIVE DIFFUSIVITY IN PASSIVE ADVECTION BY LAMINAR AND TURBULENT FLOWS [J].
AVELLANEDA, M ;
MAJDA, AJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 138 (02) :339-391
[2]   DIFFUSION AND GEOMETRIC EFFECTS IN PASSIVE ADVECTION BY RANDOM ARRAYS OF VORTICES [J].
AVELLANEDA, M ;
TORQUATO, S ;
KIM, IC .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1991, 3 (08) :1880-1891
[3]  
Bensoussan A., 1978, ASYMPTOTIC ANAL PERI
[4]   ASYMPTOTICS OF SOLUTE-DISPERSION IN PERIODIC POROUS-MEDIA [J].
BHATTACHARYA, RN ;
GUPTA, VK ;
WALKER, HF .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1989, 49 (01) :86-98
[5]   ALPHA-EFFECT IN FLUX ROPES AND SHEETS [J].
CHILDRESS, S .
PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 1979, 20 (2-4) :172-180
[6]   SCALAR TRANSPORT AND ALPHA-EFFECT FOR A FAMILY OF CATS-EYE FLOWS [J].
CHILDRESS, S ;
SOWARD, AM .
JOURNAL OF FLUID MECHANICS, 1989, 205 :99-133
[7]  
FANNJIANG A, UNPUB CONVECTION ENH
[8]   BOUNDS FOR EFFECTIVE PARAMETERS OF HETEROGENEOUS MEDIA BY ANALYTIC CONTINUATION [J].
GOLDEN, K ;
PAPANICOLAOU, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 90 (04) :473-491
[9]  
Gruzinov A. V., 1990, Soviet Physics - JETP, V70, P263
[10]  
HOU T, 1992, SIAM J APPL MATH, V52, P32