�?�?t ε l ρ l v l + �?�?ε l ρ l v l v l = ε l �?�?τ l + ε l ρ l g �?ε l �?p �?β v l �?v s may be the influence of compressible turbulent pulsation expansion on the general dissipation rate, W/m3; and μ t Width, top, length, and geometric condition are crucial geometric parameters of fractures. The scale of f