In this article, the dynamical behavior of a standing cantilever pipe conveying fluid is investigated with time − delay. By applying piezoelectric materials and considering delay voltage, motion equation built motion-limiting constraints elastic support. The discretized into ordinary differential equations by Galerkin me...

A numerical prediction for axial and swirling gas-solid flows in a vertical pipe was carried out with an Eulerian approach for the gas and a stochastic Lagrangian approach for particles, where particle-particle and particle-wall collisions were taken into consideration. The kε turbulence model was used to characterize the time and length scales of the gas-phase turbulence. Models predicting the...