It has been generally assumed, since the work of von Karman and Howarth in
1938, that free decay of fully-developed turbulence is self-similar. Here w
e present a simple phenomenological model of the decay of three-dimensional
incompressible turbulence, which predicts breakdown of self-similarity for
low-wavenumber spectral exponents n in the range n(c) < n < 4, where n(c)
is some threshold wavenumber. Calculations with the eddy-damped quasi-norma
l Markovian approximation give the value as n(c) approximate to 3.45. The e
nergy spectrum for this range of exponents develops two length-scales, sepa
rating three distinct wavenumber ranges. [S1070-6631(00)02603-9].