### Abstract

We present numerical results of dispersed droplets in vertical natural convection (VNC) flow, which is a buoyancy driven flow between differentially heated vertical walls. Our focus is to study the effects of droplets on the local statistics of heat transport in natural convection, where heat transport enhancement due to bubbles has recently been reported [5]. Our numerical simulations are fully-resolved and based on an Euler–Lagrange approach with two phases: the first is the carrier phase (liquid), which is solved by a second-order accurate finite-difference scheme and marched in time using a fractional-step approach; the second is the dispersed phase (droplets) that are much larger than the Kolmogorov length scale. The interfacial droplet boundaries and deformations are modelled by an immersed boundary method and an interaction potential approach, respectively. We show that the heat flux is slightly enhanced for the Rayleigh number range 1.3×10^{8}–2.3×10^{9} and Prandtl number of 7, which can be attributed to droplet induced mixing.

Original language | English |
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Title of host publication | Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018 |

Editors | Timothy C.W. Lau, Richard M. Kelso |

Publisher | Australasian Fluid Mechanics Society |

ISBN (Electronic) | 9780646597843 |

Publication status | Published - 1 Jan 2018 |

Event | 21st Australasian Fluid Mechanics Conference, AFMC 2018 - Adelaide Convention Centre, Adelaide, Australia Duration: 10 Dec 2018 → 13 Dec 2018 Conference number: 21 |

### Conference

Conference | 21st Australasian Fluid Mechanics Conference, AFMC 2018 |
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Abbreviated title | AFMC 2018 |

Country | Australia |

City | Adelaide |

Period | 10/12/18 → 13/12/18 |

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### Cite this

*Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018*Australasian Fluid Mechanics Society.

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*Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018.*Australasian Fluid Mechanics Society, 21st Australasian Fluid Mechanics Conference, AFMC 2018, Adelaide, Australia, 10/12/18.

**Heat transport in two-phase vertical natural convection using an Euler–Lagrange approach.** / Ng, C. S.; Spandan, V.; Lohse, D.; Verzicco, R.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Heat transport in two-phase vertical natural convection using an Euler–Lagrange approach

AU - Ng, C. S.

AU - Spandan, V.

AU - Lohse, D.

AU - Verzicco, R.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We present numerical results of dispersed droplets in vertical natural convection (VNC) flow, which is a buoyancy driven flow between differentially heated vertical walls. Our focus is to study the effects of droplets on the local statistics of heat transport in natural convection, where heat transport enhancement due to bubbles has recently been reported [5]. Our numerical simulations are fully-resolved and based on an Euler–Lagrange approach with two phases: the first is the carrier phase (liquid), which is solved by a second-order accurate finite-difference scheme and marched in time using a fractional-step approach; the second is the dispersed phase (droplets) that are much larger than the Kolmogorov length scale. The interfacial droplet boundaries and deformations are modelled by an immersed boundary method and an interaction potential approach, respectively. We show that the heat flux is slightly enhanced for the Rayleigh number range 1.3×108–2.3×109 and Prandtl number of 7, which can be attributed to droplet induced mixing.

AB - We present numerical results of dispersed droplets in vertical natural convection (VNC) flow, which is a buoyancy driven flow between differentially heated vertical walls. Our focus is to study the effects of droplets on the local statistics of heat transport in natural convection, where heat transport enhancement due to bubbles has recently been reported [5]. Our numerical simulations are fully-resolved and based on an Euler–Lagrange approach with two phases: the first is the carrier phase (liquid), which is solved by a second-order accurate finite-difference scheme and marched in time using a fractional-step approach; the second is the dispersed phase (droplets) that are much larger than the Kolmogorov length scale. The interfacial droplet boundaries and deformations are modelled by an immersed boundary method and an interaction potential approach, respectively. We show that the heat flux is slightly enhanced for the Rayleigh number range 1.3×108–2.3×109 and Prandtl number of 7, which can be attributed to droplet induced mixing.

UR - http://www.scopus.com/inward/record.url?scp=85075195487&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85075195487

BT - Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018

A2 - Lau, Timothy C.W.

A2 - Kelso, Richard M.

PB - Australasian Fluid Mechanics Society

ER -