In this paper we shortly describe basic aspects of the theory of pressure envelopes which in the frame work of potential flows allows one to design a wing section shape that generates exactly a specified pressure envelope. By means of this theory we analyze and modify a series of hydrofoils designed by Eppler. The modifications based on shifts and proportional stretches of the dependence of the maximum velocity on the angle of attack. Besides, applying the theory, we solve an optimal problem and design a series of optimal hydrofoils which have a maximal width of the pressure bucket. We present accurate estimates of the maximal width as a function of the cavitation number and angle of attack.http://deepblue.lib.umich.edu/bitstream/2027.42/84220/1/CAV2009-final175.pd
