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高智. 对流-扩散相互作用结构的不变性[J]. 力学学报, 1992, 24(6): 661-670. DOI: 10.6052/0459-1879-1992-6-1995-789
引用本文: 高智. 对流-扩散相互作用结构的不变性[J]. 力学学报, 1992, 24(6): 661-670. DOI: 10.6052/0459-1879-1992-6-1995-789
INVARIANCE OF INTERACTIVE-STRUCTURE BETWEEN CONVECTION AND DIFFUSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(6): 661-670. DOI: 10.6052/0459-1879-1992-6-1995-789
Citation: INVARIANCE OF INTERACTIVE-STRUCTURE BETWEEN CONVECTION AND DIFFUSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(6): 661-670. DOI: 10.6052/0459-1879-1992-6-1995-789

对流-扩散相互作用结构的不变性

INVARIANCE OF INTERACTIVE-STRUCTURE BETWEEN CONVECTION AND DIFFUSION

  • 摘要: 本文提出并证明了不可压缩剪切层流中对流-扩散相互作用结构不变性诸定理:即二难剪切层流与其线性化及非线性扰动存在同一的对流-扩散相互作用结构,且物理尺度(指时间、空间和速度尺度)相同。给出十个推论,例如:对流-扩散相互作用可在剪切层流及其扰动场内“激发“快时间尺度和小空间尺度结构,线性化稳定性原理的约定对剪切流体系统成立等。应用题例导出计及时间-空间尺度效应和非平行流效应的广义Orr-Sommerfeld(GOS)方程,证实它有两个粘性解:阻尼层解和干扰层解;经典OS方程及其两个粘性解:边界层解和Heisenberg临界层解,Triple-deck稳定性理论基本方程及其两个粘性解,均是本文GOS方程及其两个粘性解的特例。

     

    Abstract: In this paper three invariant theorems of interactive-structure between convection and diffusion for incompressible laminar shear flow and its ten inferences are presented. The invariance of interactive-structure means that the laminar shear flow and its linearized and nonlinear disturbance fields have the same interactive-structure between convection and diffusion and the same physical scales (including the time, spatial and velocity scales). In illustration of the present theoretical application, we deriv...

     

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