“…As the tube diameter decreases to 1.24, 1.03, and 0.83, the φ varies between 1.3-1.5 as η increases. However, the φ in the elastic tube with an inner diameter of 0.83 is close to 1.29 [30] , which indicates that the radial confinement effect of a rigid tube on bubble expand is stronger than that of an elastic tube, resulting in bubbles in rigid tubes with the same inner diameter being more elongated than those in elastic tubes. As the γ is 0.62 and 0.52, respectively, the φ increases initially and then stabilizes as the tube length η increases, with φ being nearly 1.6 for tube lengths η < 1.4 and exceeding 2.5 for tube lengths η > 1.4.…”