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Solution of the Rayleigh equation with the use of computer algebra

Gorelov S., Zharov V., Khlopkov Y.

Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

1998

nr 8

195-198

A solution procedure based on computer-algebra methods is applied to the eigenvalue problem for the Rayleigh equation with the Blasius velocity profile. The procedure can be used to manipulate power series containing a large number of terms. An expression for the phase velocity of the lowest-order harmonic is obtained in the form of a series in the wave-vector components. Representation of the series in terms of Fade approximants is considered with a view to improving their convergence.