Abstract

On the basis of the first two terms in the boundary-layer expansion, it is shown by means of a global energy-rate balance that the leading-edge effect upon the total heat-transfer rate is given by a 1 kΔT where a 1 has the value 0·625 at a Prandtl number of 0·72. As a result, the average Nusselt number for the semi-infinite plate is given by (for σ = 0·72): N ̄ = 0·476G 1 4 + 0·625 + O(G − 1 12 ) (1) where the O(G− 1 12 ) term is indeterminate, arising from the appearance of an eigenfunction in the boundary-layer expansion. Direct comparison of (1) with experimental data is precluded by the necessity of first determining finite-plate effects which, on the basis of recent analyses of the trailing-edge region for the forced-flow problem, are expected to contribute a term of O(G 1 16 ) to (1).

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