THE EFFECT OF A SLUB ON THE STABILITY OF THE RING-SPINNING BALLOON

In a recent paper, the authors have described a computational model fo r investigating the effect of a heavy slub passing through a ring-spin ning balloon. In that paper, the additional mass in the slub was model ed by a gaussian-distribution function which allowed the total mass an d length of the slub to be represented by two independent variables, Q and sigma, respectively. Some limited results for a freely ballooning yam were given. In this paper, the model of the previous paper is ext ended to allow for the effect of a control ring at the mid-balloon hei ght, and a more extensive investigation of the solution space of the m odel is presented. It is shown that the effect of the control ring is greatly to extend the range of traveller-mass-parameter values over wh ich the balloons are stable and, furthermore, the lower limit of these values is remarkably insensitive for a range of slubs with a total ad ditional mass of up to 400%.