By P. Bradshaw

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2) The three terms like (d/dx) (p'u) dx ày dz where ρ' is the fluctuating part of the pressure, also represent a net loss of turbulent energy from the control volume via the work done in transporting the fluid through a region of changing pressure. It is common to regard this as akin to the terms containing q2u and to refer to the sum as the turbulent energy transport or energy diffusion: the instantaneous value of p' + \qq2 has some physical significance but it cannot be regarded simply as an instantaneous total pressure because Bernoulli's equation defines total pressure only in the mean.

17) This is the flow between one fixed and one moving wall. The experimental difficulties are obvious and, like the two preceding flows, this one is used mainly as a theoretical battleground and as a demonstration of the effects of constraint on the development of the turbulent flow. Clearly the eddy size in the y direction cannot exceed the height h of the channel, and the typical wavelengths in the other two directions cannot be an order of magnitude greater than this if the eddy is both *r Fixed wall FIG.

According to plausible theoretical estimates, this does not greatly affect the simple dimensional results given above—for instance, the —5/3 (—1-67) power law is replaced by a —1-71 power law—but the phenomenon has to be borne in mind when considering the smaller-scale motion in more detail. A final warning about the use of spectra concerns the relation between one-dimensional and three-dimensional spectra. Since (fci) is the result of an integration of <£(k) over all values of k2 and k3, care is needed in discussing its physical significance.

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