Abstract
The effect of surface heat flux on the possibility of self‐similar solutions in a wind‐driven turbulent layer penetrating into a stratified fluid has been examined. It has been found that approximately similar solutions are possible if the initial stratification is depth independent. Similarity requires t < tQ, where the ‘heating time scale’ tQ is typically a few days. A relation has been derived for the surface layer depth h(t) and compared with numerical calculations.
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