Solution of a coupled creeping-flow problem by the Wiener-Hopf method

✍ Scribed by B. Luchini

• Publisher: Springer
• Year: 1991
• Tongue: English
• Weight: 393 KB
• Volume: 25
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00036600

✦ Synopsis

An analytical solution is presented of the problem of outflow of a viscous fluid from an infinite array of parallel semi-infinite ducts. 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.