摘要

For turbulence, although the two-point velocity difference u(x+r)-u(x) at each scale r has been studied in detail, the velocity average [u(x + r)+u(x)]/2 has not thus far Theoretically or experimentally, we find interesting features of the velocity average It satisfies an exact scale-by-scale energy budget equation The flatness factor vanes with the scale r in a universal manner These features are not consistent with the existing assumption that the velocity average is independent of r and represents energy-containing large-scale motions alone W