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- W2158690003 abstract "The higher-order boundary-layer solution for an impulsively started circular cylinder with uniform velocity and for an exponentially accelerating cylinder in incompressible, relatively high-Reynolds-number flow of short duration are considered. A perturbation method is employed to linearize the two-dimensional vorticity transport equation by a double series expansion with respect to the Reynolds number and the time. A matched asymptotic expansion is carried out to define the proper boundary conditions between the viscous and inviscid layers for the linearized first-, second-, and third-order boundary-layer equations. Singularities appear in the higher-order approximate solutions to the viscous displacement velocities and skin frictions, which coincide with the singularity of the first-order approximate solution. These singularities have alternating signs and increasing magnitudes, thus attempting to remove the effects of the singularity of the lower-order solution. However, this futile attempt at removing a singularity by superposing even stronger singularities makes the solution worse around the singularity, which shows that the singularity is an artifact of the thin-boundary-layer approximation." @default.
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- W2158690003 date "1990-05-01" @default.
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- W2158690003 title "Higher-order boundary-layer solution for unsteady motion of a circular cylinder" @default.
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- W2158690003 doi "https://doi.org/10.1017/s0022112090000064" @default.
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