Citation: | JIANG Jian-bo, LU Zhi-ming, LIU Xiao-ming, LIU Yu-lu. Models for the Counter-Gradient-Transport Phenomena[J]. Applied Mathematics and Mechanics, 2001, 22(3): 267-274. |
[1] |
Eskinazei S,Erian F.Energy reversal in turbulent flows[J].Phys Fluids,1988,12(10):1988-1998.
|
[2] |
Hanjalic K,Launder B E.Fully developed asymmetric flow in a plane channel[J].J Fluid Mech,1972,51(2):301-335.
|
[3] |
Sreenivasan K R,Tavoularis S,Corrsin S.A test of gradient transport and its generalizations[J].Turbulent Shear Flows,1983,3(1):96-112.
|
[4] |
Leslie D C.Developments in the Theory of Turbulence[M].New York:Oxford Clarendo,1972.
|
[5] |
Kraichnan R H.The structure of isotropic turbulence at very high Reynolds numbers[J].J Fluid Mech,1959,5(1):497-529.
|
[6] |
Yoshizawa A.Statistical analysis of the deviation of Reynolds stress from its eddy viscosity representation[J].Phys Fluids,1984,27(1):1337-1346.
|
[7] |
Hamba F.Statistical analysis of chemically reacting passive scalars in turbulent shear flows[J].Journal of the Physical Society of Japan,1987,56(1):79-86.
|
[8] |
Shimomura Y.A theoretical study of the turbulent diffusion in incompressible shear flows and in passive scalars[J].Phys Fluids,1998,10(10):2636-2348.
|
[9] |
Yoshizawa A.Statistical modeling of a passive-scalar diffusion in turbulent shear flows[J].J Fluid Mech,1988,195(1):541-549.
|
[10] |
Veeravalli S,Warhaft Z.Thermal dispersion from a line source in the shearless turbulence mixing layer[J].J Fluid Mech,1990,216(10):35-70.
|
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