Abstract
An analytical solution is presented of the problem of outflow of a viscous fluid from an infinite array of parallel somi-infinite duets. After a local analysis of the singularities existing at the wall edges, the Wiener-Hopf method is applied, yielding an explicit quadrature expression of the solution. The coefficient of the singular term, which was left undetermined by the local analysis, is calculated exactly, and various relevant parameters of the flow are calculated by numerical Fourier transforms and plotted.
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Luchini, B. Solution of a coupled creeping-flow problem by the Wiener-Hopf method. J Eng Math 25, 23–30 (1991). https://doi.org/10.1007/BF00036600
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DOI: https://doi.org/10.1007/BF00036600