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- W1987142880 abstract "This paper describes two methods for calculating the velocities induced by the constant diameter helical vortices that occur in the far-wakes of helicopter rotors in hover or vertical flight, propellers, and horizontal-axis wind turbines. The velocities involve infinite integrals which, in general, cannot be integrated analytically. In the first method, each integral is evaluated numerically up to a finite limit and the remaining integral is approximated by an analytical function. The integrand of each function, or remainder, is found by summation over all of the vortices shed at the same radius. Numerical experiments show the remainders are simplicity and versatility. Furthermore, the remainders can replace numerical integration in some special cases. In the second method, the range of integration is made finite by transforming the integrand into one containing an infinite sum. The sum is approximated using the Euler-Maclaurin formula, and the resulting integral is evaluated numerically. The method is more cumbersome than the first but is robust, very accurate, and should be particularly useful at small vortex pitch." @default.
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- W1987142880 date "1991-08-01" @default.
- W1987142880 modified "2023-09-27" @default.
- W1987142880 title "Two methods for calculating the velocities induced by a constant diameter far-wake" @default.
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- W1987142880 doi "https://doi.org/10.2514/3.46058" @default.
- W1987142880 hasPublicationYear "1991" @default.
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