Homotopy Perturbation Method for the Attachment Oscillator Arising in Nanotechnology
- Resource Type
- Article
- Authors
- Muhammad Ali; Naveed Anjum; Qura Tul Ain; Ji-Huan He
- Source
- Fibers and Polymers, 22(6), pp.1601-1606 Jun, 2021
- Subject
- 섬유공학
- Language
- English
- ISSN
- 1229-9197
Bubble electrospinning is an effective method to produce nanofibers with different morphologies. Numerouspolymer film fragments are formed from bursting bubbles, which elongate to nanofibers under high electrostatic voltage. Intwo polymers, bubble electrospinning film fragments of both polymers could interact due to the dominant surface-inducedforce named geometrical potential. Mathematical models are established to elaborate on the non-linear oscillators withsingular terms. Parameter expansion technology used in the homotopy perturbation method can be useful for such kind ofnon-linear oscillators. In this paper, this technique is implemented to find the amplitude-frequency relationship of theattachment oscillator used in the molecular electrospinning process to produce nanofibers. The results depict the effectivenessof the method and show that the frequency obtained for duffing oscillator is highly accurate in exceptional cases.