An explicit solution is obtained for the viscous‐convective range of the abridged Lagrangian interaction theory valid when Pr≫1. The spectrum function differs markedly from that of a previous explicit theory of Batchelor. This difference may be of use in interpreting experimental data.

1.
G. K.
Batchelor
,
J. Fluid Mech.
5
,
113
(
1959
).
2.
H. L.
Grant
,
B. A.
Hughes
,
W. M.
Vogel
, and
A.
Moilliet
,
J. Fluid Mech.
34
,
423
(
1968
).
3.
R. H.
Kraichnan
,
Phys. Fluids
11
,
945
(
1968
).
4.
D. C. Leslie, Developments in the Theory of Turbulence (Clarendon Press, Oxford, England, 1973), Chaps. 8 and 12.
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