Modeling and Experiments of Droplet Evaporation with Micro or Nano Particles in Coffee Ring or Coffee Splat

Experimental and numerical experiments were carried out to study the coffee rings or coffee splats formed by droplet evaporation with micro or nano polystyrene sphere particles (<i>D<sub>p</sub></i> = 10 μm or 100 nm). Particle image velocimetry (PIV) and a high-resolution ca...

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Main Authors: Hongbing Xiong, Qichao Wang, Lujie Yuan, Junkai Liang, Jianzhong Lin
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/13/10/1609
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author Hongbing Xiong
Qichao Wang
Lujie Yuan
Junkai Liang
Jianzhong Lin
author_facet Hongbing Xiong
Qichao Wang
Lujie Yuan
Junkai Liang
Jianzhong Lin
author_sort Hongbing Xiong
collection DOAJ
description Experimental and numerical experiments were carried out to study the coffee rings or coffee splats formed by droplet evaporation with micro or nano polystyrene sphere particles (<i>D<sub>p</sub></i> = 10 μm or 100 nm). Particle image velocimetry (PIV) and a high-resolution camera were used in this experiment, along with a temperature-controlled heater and a data-acquisition computer. The results showed that a nano particle could form a homogeneous coffee splat, instead of the common coffee ring formed when using micro particles. In order to account for this phenomenon, this paper developed a complex multiphase model, one which included the smooth particle hydrodynamics (SPH) fluid model coupled with the van der Waals equation of state for droplet evaporation, the rigid particle model of finite-size micro particles, and the point–particle model of the nanometer particles. The numerical simulation was operated on a GPU-based algorithm and tested by four validation cases. A GPU could calculate 533 times the speed of a single-core CPU for about 300,000 particles. The results showed that, for rigid solid particles, the forms emerged spontaneously on the wall, and their structure was mainly affected by the boundary wettability, and less affected by the fluid flow and thermal condition. When the wall temperature was low, it was easier for the particles to be deposited on the contact line. At high wall temperature, the coffee ring effect would be weakened, and the particles were more likely to be deposited in the droplet center. The hydrophilic surface produced a larger coffee ring compared to the hydrophobic surface. The experimental and numerical results proved that particle size could play a significant role during the particle deposition, which may be a possible route for producing uniform-distributed and nano-structure coatings.
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spelling doaj.art-5f0311f3c5684eb6b93e51c19bf032ed2023-11-18T02:42:13ZengMDPI AGNanomaterials2079-49912023-05-011310160910.3390/nano13101609Modeling and Experiments of Droplet Evaporation with Micro or Nano Particles in Coffee Ring or Coffee SplatHongbing Xiong0Qichao Wang1Lujie Yuan2Junkai Liang3Jianzhong Lin4State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, ChinaExperimental and numerical experiments were carried out to study the coffee rings or coffee splats formed by droplet evaporation with micro or nano polystyrene sphere particles (<i>D<sub>p</sub></i> = 10 μm or 100 nm). Particle image velocimetry (PIV) and a high-resolution camera were used in this experiment, along with a temperature-controlled heater and a data-acquisition computer. The results showed that a nano particle could form a homogeneous coffee splat, instead of the common coffee ring formed when using micro particles. In order to account for this phenomenon, this paper developed a complex multiphase model, one which included the smooth particle hydrodynamics (SPH) fluid model coupled with the van der Waals equation of state for droplet evaporation, the rigid particle model of finite-size micro particles, and the point–particle model of the nanometer particles. The numerical simulation was operated on a GPU-based algorithm and tested by four validation cases. A GPU could calculate 533 times the speed of a single-core CPU for about 300,000 particles. The results showed that, for rigid solid particles, the forms emerged spontaneously on the wall, and their structure was mainly affected by the boundary wettability, and less affected by the fluid flow and thermal condition. When the wall temperature was low, it was easier for the particles to be deposited on the contact line. At high wall temperature, the coffee ring effect would be weakened, and the particles were more likely to be deposited in the droplet center. The hydrophilic surface produced a larger coffee ring compared to the hydrophobic surface. The experimental and numerical results proved that particle size could play a significant role during the particle deposition, which may be a possible route for producing uniform-distributed and nano-structure coatings.https://www.mdpi.com/2079-4991/13/10/1609droplet evaporationcoffee ring effectparticle depositionphase fielddiffuse interface modeladditive manufacturing
spellingShingle Hongbing Xiong
Qichao Wang
Lujie Yuan
Junkai Liang
Jianzhong Lin
Modeling and Experiments of Droplet Evaporation with Micro or Nano Particles in Coffee Ring or Coffee Splat
Nanomaterials
droplet evaporation
coffee ring effect
particle deposition
phase field
diffuse interface model
additive manufacturing
title Modeling and Experiments of Droplet Evaporation with Micro or Nano Particles in Coffee Ring or Coffee Splat
title_full Modeling and Experiments of Droplet Evaporation with Micro or Nano Particles in Coffee Ring or Coffee Splat
title_fullStr Modeling and Experiments of Droplet Evaporation with Micro or Nano Particles in Coffee Ring or Coffee Splat
title_full_unstemmed Modeling and Experiments of Droplet Evaporation with Micro or Nano Particles in Coffee Ring or Coffee Splat
title_short Modeling and Experiments of Droplet Evaporation with Micro or Nano Particles in Coffee Ring or Coffee Splat
title_sort modeling and experiments of droplet evaporation with micro or nano particles in coffee ring or coffee splat
topic droplet evaporation
coffee ring effect
particle deposition
phase field
diffuse interface model
additive manufacturing
url https://www.mdpi.com/2079-4991/13/10/1609
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AT qichaowang modelingandexperimentsofdropletevaporationwithmicroornanoparticlesincoffeeringorcoffeesplat
AT lujieyuan modelingandexperimentsofdropletevaporationwithmicroornanoparticlesincoffeeringorcoffeesplat
AT junkailiang modelingandexperimentsofdropletevaporationwithmicroornanoparticlesincoffeeringorcoffeesplat
AT jianzhonglin modelingandexperimentsofdropletevaporationwithmicroornanoparticlesincoffeeringorcoffeesplat