The first two terms of the Cameron‐Martin‐Wiener representation for turbulence are employed to examine the expected characteristics of the Burgers' model equation for initial‐value problems. The representation employs the basic white noise process, nontime varying, and the characteristics of the expansion at later time are found. The equations are integrated more completely than in earlier works, and it is seen that so long as the initial spectra are not too far from equilibrium spectra the representation is adequate to a couple of correlation times. For greater time it would be necessary to employ higher‐order terms or to turn to time‐dependent white noise processes in the expansion. It is shown that it is possible to use a single white noise process to examineequilibriumcharacteristics for the model turbulence. Without further approximation, the by now familiar energy spectrum is derived,E ∼ k−2. Other recent work relating to the Cameron‐Martin‐Wiener expansion is reviewed critically.