Viscous Flow in a Bifurcate Channel

概要

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The technique presented by Dean is applied to find the solution for a slow two-dimensional steady motion of liquid in an infinite channel. The channel is composed of two parallel infinite plates and a semi-infinite partition plate which is in middle of the infinite plates and a semi-infinite partition plate which is in the middle of the infinite plates. The fluid velosity is assumed to have a parabolic distribution at infinity and the direction perpendicular to the edge line of the partition plate. The stream function is first assumed and two sets of constants contained in it are then adjusted so that slip of the velosity on the boundaries becomes sufficiently small. From the approximate solution obtained, the properties of the solution in the neighbourhood of the leading edge of the partition plate and the pressure drop along the channel due to the partition are discussed.
社団法人日本物理学会の論文
1969-07-05