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Volumetric Lagrangian temperature and velocity measurements with thermochromic liquid crystals

Käufer, T. and Cierpka, C. LU (2024) In Measurement Science and Technology 35(3).
Abstract

We propose a Lagrangian method for simultaneous, volumetric temperature and velocity measurements. As tracer particles for both quantities, we employ encapsulated thermochromic liquid crystals (TLCs). We discuss the challenges arising from color imaging of small particles and present measurements in an equilateral hexagonal-shaped convection cell of height h = 60 mm and distance between the parallel side walls w = 104 mm, which corresponds to an aspect ratio Γ = 1.73 . As fluid, we use a water-glycerol mixture to match the density of the TLC particles. We propose a densely-connected neural network, trained on calibration data, to predict the temperature for individual particles based on their particle image and position in the color... (More)

We propose a Lagrangian method for simultaneous, volumetric temperature and velocity measurements. As tracer particles for both quantities, we employ encapsulated thermochromic liquid crystals (TLCs). We discuss the challenges arising from color imaging of small particles and present measurements in an equilateral hexagonal-shaped convection cell of height h = 60 mm and distance between the parallel side walls w = 104 mm, which corresponds to an aspect ratio Γ = 1.73 . As fluid, we use a water-glycerol mixture to match the density of the TLC particles. We propose a densely-connected neural network, trained on calibration data, to predict the temperature for individual particles based on their particle image and position in the color camera images, which achieves uncertainties below 0.2 K over a temperature range of 3 K. We use Shake-the-Box to determine the 3D position and velocity of the particles and couple it with our temperature measurement approach. We validate our approach by adjusting a stable temperature stratification and comparing our measured temperatures with the theoretical results. Finally, we apply our approach to thermal convection at Rayleigh number Ra = 3.4 × 10 7 and Prandtl number Pr = 10.6. We can visualize detaching plumes in individual temperature and convective heat transfer snapshots. Furthermore, we demonstrate that our approach allows us to compute statistics of the convective heat transfer and briefly validate our results against the literature.

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author
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organization
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type
Contribution to journal
publication status
published
subject
keywords
Lagrangian particle tracking, particle image thermometry, Rayleigh-Bénard convection, simultaneous temperature and velocity measurements, thermochromic liquid crystals
in
Measurement Science and Technology
volume
35
issue
3
article number
035301
publisher
IOP Publishing
external identifiers
  • scopus:85181066246
ISSN
0957-0233
DOI
10.1088/1361-6501/ad16d1
language
English
LU publication?
yes
id
23191ce8-c7ed-41ec-83be-0ffc98bf3a44
date added to LUP
2024-02-07 11:59:02
date last changed
2024-02-07 11:59:02
@article{23191ce8-c7ed-41ec-83be-0ffc98bf3a44,
  abstract     = {{<p>We propose a Lagrangian method for simultaneous, volumetric temperature and velocity measurements. As tracer particles for both quantities, we employ encapsulated thermochromic liquid crystals (TLCs). We discuss the challenges arising from color imaging of small particles and present measurements in an equilateral hexagonal-shaped convection cell of height h = 60 mm and distance between the parallel side walls w = 104 mm, which corresponds to an aspect ratio Γ = 1.73 . As fluid, we use a water-glycerol mixture to match the density of the TLC particles. We propose a densely-connected neural network, trained on calibration data, to predict the temperature for individual particles based on their particle image and position in the color camera images, which achieves uncertainties below 0.2 K over a temperature range of 3 K. We use Shake-the-Box to determine the 3D position and velocity of the particles and couple it with our temperature measurement approach. We validate our approach by adjusting a stable temperature stratification and comparing our measured temperatures with the theoretical results. Finally, we apply our approach to thermal convection at Rayleigh number Ra = 3.4 × 10 7 and Prandtl number Pr = 10.6. We can visualize detaching plumes in individual temperature and convective heat transfer snapshots. Furthermore, we demonstrate that our approach allows us to compute statistics of the convective heat transfer and briefly validate our results against the literature.</p>}},
  author       = {{Käufer, T. and Cierpka, C.}},
  issn         = {{0957-0233}},
  keywords     = {{Lagrangian particle tracking; particle image thermometry; Rayleigh-Bénard convection; simultaneous temperature and velocity measurements; thermochromic liquid crystals}},
  language     = {{eng}},
  number       = {{3}},
  publisher    = {{IOP Publishing}},
  series       = {{Measurement Science and Technology}},
  title        = {{Volumetric Lagrangian temperature and velocity measurements with thermochromic liquid crystals}},
  url          = {{http://dx.doi.org/10.1088/1361-6501/ad16d1}},
  doi          = {{10.1088/1361-6501/ad16d1}},
  volume       = {{35}},
  year         = {{2024}},
}