Effects of Inhomogeneity and of Shear Flow in Weak Turbulent Fields
Effects of Inhomogeneity and of Shear Flow in Weak Turbulent Fields
复制标题
弱湍流场中不均匀性和剪切流的影响
DOI:
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发表时间:
1961
期刊:
影响因子:
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通讯作者:
R. G. Deissler
中科院分区:
文献类型:
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作者:
R. G. Deissler
Spectra for weak turbulence are found for: (1) turbulence inhomogeneous in the direction of a uniform mean velocity; (2) an initially homogeneous turbulence becoming inhomogeneous in a transverse direction because of the presence of boundaries; and (3) turbulence homogeneous with a uniform mean transverse velocity gradient. The treatment is based on two‐point correlation and spectral equations. The effect of inhomogeneity is to cause a diffusion of turbulence in the direction of decreasing turbulent intensity. Longitudinal inhomogeneity produces an accumulation of energy mainly in the high wave‐number portions of the energy spectrum, whereas the transverse inhomogeneity causes a depletion of energy at a point in the fluid and does not alter the shape of the spectrum. For homogeneous turbulence with a uniform transverse velocity gradient, energy is transferred from the mean flow into the turbulence by a turbulent production term in the spectral equation. At high velocity gradients the production spectrum s...