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• W3121846073 abstract "The decay rates for stationary perturbations of Poiseuille flow in channels and pipes are computed. The decay rates are found by solving eigenvalue problems of ordinary differential equations, where the eigenvalues give the rate of decay for the perturbation. A two-point boundary value method is used to compute the eigenvalues yielding efficient and accurate calculations. For the channel flow problem, the results are in agreement with previous calculations (e.g., Bramley [J. Comput. Phys., 53 (1984), pp. 524–529]; Bramley and Dennis [J. Comput. Phys., 47 (1982), pp. 179–198], [J. Math. Anal Appl., 101 (1984), pp. 30–38]; Gillis and Brandt [Report AF EOAR, SR-1, Weizmann Institute, Rehovot, Israel, 1964, pp. 63–73]; Wilson [J. Fluid Mech., 38 (1968), pp. 793–806]), however, the problem of determining the rate of decay for a fluid motion in a pipe has been considered by Bramley [J. Comput. Phys., 64 (1986), pp. 258–265]. It is proved that for the Stokes problem in a pipe the eigenvalues governing the rate of decay are complex. Computations for small and moderate Reynolds number are performed, as are high Reynolds number computations, to show the effectiveness of this method." @default.
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• W3121846073 date "1987-10-01" @default.
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• W3121846073 title "Computation of the eigenvalues for perturbations of Poiseuille flow using a two-point boundary value method" @default.
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