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Published online by Cambridge University Press: 04 July 2016
The rectilinear flow of an incompressible viscous fluidalong a duct of uniform cross section due to anoscillating pressure gradient has been considered bya number of investigators. The duct of circularcross .section has been treated by Richardson andTyler and Sexl, the elliptic case by Khamrui, andthe rectangular case by Drake and Fan and Chao.Recently Jeng has discussed the importance of thistype of flow and has given a procedure forcalculating a numerical solution for a duct ofarbitrary cross-section. An interesting feature ofthese flows is that, at large frequencies when theflow is of boundary-layer type, the velocity at anyinstant has its maximum near the walls, the velocityovershooting its almost uniform distribution at thecentre of the duct.