### Abstract

A fixed-grid approach for modeling the motion of a particle-encapsulated droplet carried by a pressure-driven immiscible carrier fluid in a microchannel is presented. Three phases (the carrier fluid, the droplet, and the particle) and two different moving boundaries (the droplet-carrier fluid and droplet-particle interfaces) are involved. This is a moving-boundaries problem with the motion of the three phases strongly coupled. In the present article, the particle is assumed to be a fluid of high viscosity and constrained to move with rigid body motion. A combined formulation using one set of governing equations to treat the three phases is employed. The droplet-carrier fluid interface is represented and evolved using a level-set method with a mass-correction scheme. Surface tension is modeled using the continuum surface force model. An additional signed distance function is employed to define the droplet-particle interface. Its evolution is determined from the particle motion governed by the Newton-Euler equations. The governing equations are solved numerically using a finite-volume method on a fixed Cartesian grid. For demonstration purposes, the flows of particle-encapsulated droplets through a constricted microchannel and through a microchannel system are presented.

Original language | English |
---|---|

Pages (from-to) | 59-74 |

Number of pages | 16 |

Journal | Numerical Heat Transfer, Part B: Fundamentals |

Volume | 53 |

Issue number | 1 |

Early online date | 6 Nov 2007 |

DOIs | |

Publication status | Published - Jan 2008 |

Externally published | Yes |

### Fingerprint

### Cite this

*Numerical Heat Transfer, Part B: Fundamentals*,

*53*(1), 59-74. https://doi.org/10.1080/10407790701632485

}

*Numerical Heat Transfer, Part B: Fundamentals*, vol. 53, no. 1, pp. 59-74. https://doi.org/10.1080/10407790701632485

**A Procedure for the Motion of Particle-Encapsulated Droplets in Microchannels.** / Yap, Y. F.; Chai, J. C.; Wong, T. N.; Nguyen, N. T.; Toh, K. C.; Zhang, H. Y.; Yobas, L.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A Procedure for the Motion of Particle-Encapsulated Droplets in Microchannels

AU - Yap, Y. F.

AU - Chai, J. C.

AU - Wong, T. N.

AU - Nguyen, N. T.

AU - Toh, K. C.

AU - Zhang, H. Y.

AU - Yobas, L.

PY - 2008/1

Y1 - 2008/1

N2 - A fixed-grid approach for modeling the motion of a particle-encapsulated droplet carried by a pressure-driven immiscible carrier fluid in a microchannel is presented. Three phases (the carrier fluid, the droplet, and the particle) and two different moving boundaries (the droplet-carrier fluid and droplet-particle interfaces) are involved. This is a moving-boundaries problem with the motion of the three phases strongly coupled. In the present article, the particle is assumed to be a fluid of high viscosity and constrained to move with rigid body motion. A combined formulation using one set of governing equations to treat the three phases is employed. The droplet-carrier fluid interface is represented and evolved using a level-set method with a mass-correction scheme. Surface tension is modeled using the continuum surface force model. An additional signed distance function is employed to define the droplet-particle interface. Its evolution is determined from the particle motion governed by the Newton-Euler equations. The governing equations are solved numerically using a finite-volume method on a fixed Cartesian grid. For demonstration purposes, the flows of particle-encapsulated droplets through a constricted microchannel and through a microchannel system are presented.

AB - A fixed-grid approach for modeling the motion of a particle-encapsulated droplet carried by a pressure-driven immiscible carrier fluid in a microchannel is presented. Three phases (the carrier fluid, the droplet, and the particle) and two different moving boundaries (the droplet-carrier fluid and droplet-particle interfaces) are involved. This is a moving-boundaries problem with the motion of the three phases strongly coupled. In the present article, the particle is assumed to be a fluid of high viscosity and constrained to move with rigid body motion. A combined formulation using one set of governing equations to treat the three phases is employed. The droplet-carrier fluid interface is represented and evolved using a level-set method with a mass-correction scheme. Surface tension is modeled using the continuum surface force model. An additional signed distance function is employed to define the droplet-particle interface. Its evolution is determined from the particle motion governed by the Newton-Euler equations. The governing equations are solved numerically using a finite-volume method on a fixed Cartesian grid. For demonstration purposes, the flows of particle-encapsulated droplets through a constricted microchannel and through a microchannel system are presented.

UR - http://www.scopus.com/inward/record.url?scp=36048970038&partnerID=8YFLogxK

U2 - 10.1080/10407790701632485

DO - 10.1080/10407790701632485

M3 - Article

AN - SCOPUS:36048970038

VL - 53

SP - 59

EP - 74

JO - Numerical Heat Transfer, Part B: Fundamentals

JF - Numerical Heat Transfer, Part B: Fundamentals

SN - 1040-7790

IS - 1

ER -