Abstract

By superposing of one-dimensional solutions an exact solution is obtained for the nonsteady two-dimensional problem of the motion of an incompressible viscous fluid in a rigid tube whose cross-section is a regular triangle. The fluid is driven by a time-dependent pressure gradient. The fluid particles may have a nonuniform initial velocity distribution over the tube cross-section. Solutions are obtained in the form of series for the cases in which the fluid is accelerated from rest by a varying pressure gradient and also in the stationary oscillating regime under the action of a periodically pulsating pressure gradient.

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