Self-similarity has been the paradigmatic picture for the pinch-off of a drop. Here we will show through high-speed imaging and boundary integral simulations that the inverse problem, the pinch-off of an air bubble in water, is not self-similar in a strict sense: A disk is quickly pulled through a water surface, leading to a giant, cylindrical void which after collapse creates an upward and a downward jet. Only in the limiting case of large Froude numbers does the purely inertial scaling h(-logh)(1/4)proportional to tau(1/2) for the neck radius h [J. M. Gordillo , Phys. Rev. Lett. 95, 194501 (2005)] become visible. For any finite Froude number the collapse is slower, and a second length scale, the curvature of the void, comes into play. Both length scales are found to exhibit power-law scaling in time, but with different exponents depending on the Froude number, signaling the nonuniversality of the bubble pinch-off.
机构:
Univ Hong Kong, Dept Mech Engn, Hong Kong, Peoples R China
HKU ZIRI, Hangzhou 311300, Zhejiang, Peoples R ChinaUniv Hong Kong, Dept Mech Engn, Hong Kong, Peoples R China
Zhu, Pingan
Wang, Liqiu
论文数: 0引用数: 0
h-index: 0
机构:
Univ Hong Kong, Dept Mech Engn, Hong Kong, Peoples R ChinaUniv Hong Kong, Dept Mech Engn, Hong Kong, Peoples R China
机构:
China Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R ChinaChina Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R China
Chen, Shixing
Xu, Enle
论文数: 0引用数: 0
h-index: 0
机构:
China Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R China
China Univ Min & Technol, Chinese Natl Engn Res Ctr Coal Preparat & Purifica, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R China
Xu, Enle
Meng, Xianliang
论文数: 0引用数: 0
h-index: 0
机构:
China Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R China
China Univ Min & Technol, Chinese Natl Engn Res Ctr Coal Preparat & Purifica, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R China
Meng, Xianliang
Wu, Guoguang
论文数: 0引用数: 0
h-index: 0
机构:
China Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R China
China Univ Min & Technol, Chinese Natl Engn Res Ctr Coal Preparat & Purifica, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R China
Wu, Guoguang
Jiang, Xiaofeng
论文数: 0引用数: 0
h-index: 0
机构:
China Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R China
China Univ Min & Technol, Chinese Natl Engn Res Ctr Coal Preparat & Purifica, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221116, Peoples R China