The article considers the problem of vibrations straight sections pipeline based on theory beams. A mathematical model dynamics a viscoelastic pipe with pulsating fluid is developed. speed assumed to be harmonically fluctuating and has following form: V ( t ) = υ 0 (1 + μ 1 cosϖt ). simplified using Bubnov-Galerkin approach solution set common integro-differential equations time as an independe...

In the past, stability of an undamped clamped-pinned pipe conveying fluid has been always considered numerically leading to controversial results. Païdoussis (2004) has shown that a numerical stability analysis of a clamped-pinned pipe requires exceptionally large number of vibration modes to obtain the correct dynamical behaviour. In this paper, analytical proof of stability of a clamped-pinne...

A bifurcation occurs when an elastic filament rotates in a viscous fluid at frequency ω (bifurcation parameter). We use the immersed boundary (IB) method to study the interaction between the elastic filament and the surrounding viscous fluid as governed by the incompressible Navier–Stokes equations, and to determine the nature of the bifurcation, which turns out to be subcritical.

In this paper, we study the effects of Hall and ion-slip currents on the steady magneto-micropolar of a viscous incompressible and electrically conducting fluid over a horizontal plate by taking in to account the viscous dissipation effects. By means of similarity solutions, deviation of fundamental equations on the assumption of small magnetic Reynolds number are solved numerically by using qu...