Stability of Thixotropic Fluids in Pipe Flow

Abstract

Abstract. Linear stability of a thixotropic uid obeying the Moore model is investigated in pipe ow using a temporal stability analysis in which in nitesimally small perturbations, represented by normal modes, are superimposed on the base ow and their evolution in time is monitored in order to detect the onset of instability. An eigenvalue problem is obtained, which is solved numerically using the pseudo-spectral Chebyshev-based collocation method. The neutral instability curve is plotted as a function of the thixotropy number of the Moore model. Based on the results obtained in this work, it is concluded that the thixotropic behavior of the Moore uid has a destabilizing e ect on pipe ow.

The Impact of Critical Flutter Velocity in Composite Wind Turbine Blade with Prebend Condition

“…Sahoo [22] compared numerical results computed using MATLAB with experimental data for higher order model of a composite layered shell structure. Meanwhile, Nahavandian [23] investigated the linear stability of thixotropic fluid obeying Moore model using a temporal stability analysis with infinitesimally small perturbations. Fakhraei [24] studied chaotic behaviour of a ground oscillating system by modeling a full nonlinear seven-degree freedom system with an addition of freedom for passengers in one degree.…”