湍流动量、标量及能量的逆梯度输运模型

基金项目: 国家自然科学基金资助项目(N19872043)

Models for the Counter-Gradient-Transport Phenomena

Shanghai Institute of Applied Mathematics & Mechanics, Shanghai University, Shanghai 200072, P R China

摘要: 运用单影响函数的双尺度直接相互作用原理(简称TSDIA)研究了湍流中广泛存在的动量、标量、能量的逆梯度输运现象,得到了可定性描述动量、标量及能量逆输运的模型表达式.然后运用惯性子区的理论对所得结果进行了简化,在计算中对标量与动量采用了不同的时间尺度,同时仅引入了动量的低波数截断k_m.所得结果对于低阶的情形与前人的结果一致.最后利用所得结果分析了非对称槽道流与圆柱尾流中出现的动量、被动标量及湍能的逆梯度输运现象.
- 湍流 /
- 逆梯度输运 /
- TSDIA
Abstract: The counter gradient transport phenomena on momentum,energy and passive scalar in turbulent flows were studied by use of the single response function for TSDIA.As a result,models that can describe qualitatively the phenomena are obtained.Then the results are simplifled by use of the inertial range theory,and the results for lower degrees agree with results of predecessor.Finally the counter gradient-transport phenomena in channel flow and circular wake flow are analyzed.
- turbulence /
- counter-gradient-transport /
- TSDIA

[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.