Abstract
This paper presents a short survey of the more analytical development of the second-order theory which was formulated in the previous paper (Ref. 1). The method of matched asymptotic expansions is applied to the integro-differential equation for the case of the small jet momentum coefficient Cj, which was previously derived in the first-order theory on a twodimensional supercavitating jet-flapped foil between two parallel solid walls. The lift slopes are found as series expansions in powers of δ and logδ valid for δ≤1, where the small parameter δ is proportional to Cj. Expressions of the lift slopes which are found to the third order expansions for δ agree closely with the numerical results obtained by earlier study (Ref.1), even near δ=1.
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