Droplet squeezing through a narrow constriction: Minimum impulse and critical velocity

Zhifeng Zhang, Corina Drapaca, Xiaolin Chen, Jie Xu

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Models of a droplet passing through narrow constrictions have wide applications in science and engineering. In this paper, we report our findings on the minimum impulse (momentum change) of pushing a droplet through a narrow circular constriction. The existence of this minimum impulse is mathematically derived and numerically verified. The minimum impulse happens at a critical velocity when the time-averaged Young-Laplace pressure balances the total minor pressure loss in the constriction. Finally, numerical simulations are conducted to verify these concepts. These results could be relevant to problems of energy optimization and studies of chemical and biomedical systems.

Original languageEnglish (US)
Article number072102
JournalPhysics of Fluids
Volume29
Issue number7
DOIs
StatePublished - Jul 1 2017

Fingerprint

critical velocity
compressing
impulses
constrictions
pushing
engineering
momentum
optimization
simulation
energy

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

@article{0818d81dccc940c7a3d28a196c751e6a,
title = "Droplet squeezing through a narrow constriction: Minimum impulse and critical velocity",
abstract = "Models of a droplet passing through narrow constrictions have wide applications in science and engineering. In this paper, we report our findings on the minimum impulse (momentum change) of pushing a droplet through a narrow circular constriction. The existence of this minimum impulse is mathematically derived and numerically verified. The minimum impulse happens at a critical velocity when the time-averaged Young-Laplace pressure balances the total minor pressure loss in the constriction. Finally, numerical simulations are conducted to verify these concepts. These results could be relevant to problems of energy optimization and studies of chemical and biomedical systems.",
author = "Zhifeng Zhang and Corina Drapaca and Xiaolin Chen and Jie Xu",
year = "2017",
month = "7",
day = "1",
doi = "10.1063/1.4990777",
language = "English (US)",
volume = "29",
journal = "Physics of Fluids",
issn = "1070-6631",
publisher = "American Institute of Physics Publising LLC",
number = "7",

}

Droplet squeezing through a narrow constriction : Minimum impulse and critical velocity. / Zhang, Zhifeng; Drapaca, Corina; Chen, Xiaolin; Xu, Jie.

In: Physics of Fluids, Vol. 29, No. 7, 072102, 01.07.2017.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Droplet squeezing through a narrow constriction

T2 - Minimum impulse and critical velocity

AU - Zhang, Zhifeng

AU - Drapaca, Corina

AU - Chen, Xiaolin

AU - Xu, Jie

PY - 2017/7/1

Y1 - 2017/7/1

N2 - Models of a droplet passing through narrow constrictions have wide applications in science and engineering. In this paper, we report our findings on the minimum impulse (momentum change) of pushing a droplet through a narrow circular constriction. The existence of this minimum impulse is mathematically derived and numerically verified. The minimum impulse happens at a critical velocity when the time-averaged Young-Laplace pressure balances the total minor pressure loss in the constriction. Finally, numerical simulations are conducted to verify these concepts. These results could be relevant to problems of energy optimization and studies of chemical and biomedical systems.

AB - Models of a droplet passing through narrow constrictions have wide applications in science and engineering. In this paper, we report our findings on the minimum impulse (momentum change) of pushing a droplet through a narrow circular constriction. The existence of this minimum impulse is mathematically derived and numerically verified. The minimum impulse happens at a critical velocity when the time-averaged Young-Laplace pressure balances the total minor pressure loss in the constriction. Finally, numerical simulations are conducted to verify these concepts. These results could be relevant to problems of energy optimization and studies of chemical and biomedical systems.

UR - http://www.scopus.com/inward/record.url?scp=85022324087&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85022324087&partnerID=8YFLogxK

U2 - 10.1063/1.4990777

DO - 10.1063/1.4990777

M3 - Article

AN - SCOPUS:85022324087

VL - 29

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 7

M1 - 072102

ER -