Abstract
The status of available hydrodynamic theories of cavitating flow past delta wing hydrofoils is reviewed, and it is found that asymptotic results for limiting conditions of cavitation (i.e., large and small cavitation numbers) in earlier work by Tulin are incorrect. The mathematical problem of conical flow for cavitated delta wings of fairly wide apex angles is recast with a new closure condition replacing the previous condition of no sourcelike flow in a transverse plane. The results obtained for lift coefficient, for apex angles up to 60°, as a function of angle of attack and cavitation number, are compared with available experimental data. The comparison indicates good agreement of the new theory for delta wings with apex angles up to 45°. Examination and comparisons of the slender-body theory of Cumberbatch and Wu shows the limits of applicability of that theory to be restricted to large angles of attack (>17°) and small apex angles (<15°). Thus, differences in results obtained using different mathematical and physical models are delineated, together with information on the respective regions of validity.
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