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- W3141559086 abstract "Abstract The Betz process for minimizing the energy loss of single propellers is extended to the propeller operating in radially varying inflow, with a view toward the development of optimum stern propulsion for bodies of revolution. Assuming the usual lifting-line treatment of the propeller blades, an application of the isoperimetric problem in the calculus of variations is directed toward minimizing the energy loss while maintaining constant total thrust. Resulting expressions describe the optimum radial distribution of induced velocity in terms of an undetermined multiplier. The magnitude of the required total thrust, in turn, fixes the value of this multiplier, making the solution determinate. Inclusion of blade-profile drag at a later point in the development serves to determine an optimum propeller diameter for minimum over-all energy loss. The method gains in accuracy as the ratio of blade number to advance ratio increases, due to an approximation in the relation between the circulation and induced velocity." @default.
- W3141559086 created "2021-04-13" @default.
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- W3141559086 date "1952-09-01" @default.
- W3141559086 modified "2023-09-25" @default.
- W3141559086 title "Optimum Single Propellers in Radially Varying, Incompressible Inflow" @default.
- W3141559086 doi "https://doi.org/10.1115/1.4010494" @default.
- W3141559086 hasPublicationYear "1952" @default.
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