The stability region of the tubing performance relation curve

The tubing performance relation curve is a measure of well performance in gas well engineering. It describes the two-phase flow inside a well and as such is modeled as a two-phase one dimensional pipe flow. Convention claims that production points on the TPR curve to the right of its minimum are stable. There also exist claims about the region...

On rain-wind induced vibrations of an oscillator with a time-varying mass

This report will study an oscillator with time-varying mass under the influence of rain-wind induced vibrations. The vibrations will satisfy an initial value problem with a nonlinear ordinary differential equation. The multiple time-scale perturbation method is used to solve the initial value problem. As the mass is set periodic in time with...