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A linearized theory is developed for s 

 avity flows about slender symmetric bo 

 lied to the cases of zero and nonzero ( 

 ers. It is shown that, for the case of f 

 zed theory avoids the necessity for ch 

 ition model as must be done in any exa 

 roblem of calculating cavity shapes an 

 er bodies is reduced to one of quadratu 

 ulations are made for the family of wed 

 re shown to be in good agreement with 

 r sufficiently slender bodies. In partic 

 rates that the linearized theory is a va 









