The effects of the tension on the yarn dynamicsPraček, Stanislav (Avtor) quasi-stationary approximationyarn tensiontension in balloonresidual tensionYarn unwinding is essential in many textile processes. To be able to describe yarn unwinding, we had to develop firstly a general equation of motion for the yarn in the balloon. We also had to take into account residual tension of the yarn in the interior of the package. In this contribution, we therefore complemented the usual treatment of yarn unwinding by deducing from the general equation of motion of yarn during unwinding an equation for the tension in yarn and by deducing residual tension from this equation. Instead of perturbation theory, we used quasi-stationary approximation. Using approximations, we will derive the tension equation in the unwinding yarn, which describes the relevant physical phenomena. In this way, we will get a yarn unwinding model that is well mathematically defined and can be solved with the tools of numerical mathematics.20252025-03-25 10:37:27Članek v reviji168014sl