An existing propeller geometry is represented mathematically using a m
ethod for computer-aided design known as the partial differential equa
tion (RUE) method. Using this method of surface design ensures that th
e propeller blade is completely defined and controlled by a small set
of design parameters. This geometry may be analyzed using a panel meth
od to obtain the flow past the blade, and a performance measure, in th
is case the efficiency of the propeller, is obtained. Functional desig
n of the propeller is achieved by allowing the design parameters to ch
ange. Altering the design parameters will affect the efficiency, and h
ence the set of design parameters which gives a propeller geometry of
maximum efficiency is sought. This is achieved automatically through a
numerical optimization routine which alters the design parameters. Th
e advantage of this approach is that complex geometries may be represe
nted in terms of a small parameter set which enables the effective imp
lementation of the optimization routine. Constraints may also be impos
ed to maintain feasible designs. In the case considered the usual desi
gn constraints to delay and restrict the onset of cavitation are impos
ed. However, additional requirements, requiring in themselves substant
ial analysis, such as strength of the blade, may be considered.