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Dynamic modelling of the deformation of a drop in a four-roll mill

Innings, Fredrik LU ; Hamberg, L and Trägårdh, Christian LU (2005) In Chemical Engineering Science 60(17). p.4771-4779
Abstract
The deformation of a drop flowing along the centre streamline of a four-roll mill (4RM) has been investigated. The velocities and elongation rates along the centre streamline in the 4RM were measured using particle tracking velocimetry. The deformation and position of the deforming drops were photographed with a video camera. A dynamic, one-dimensional, analytical simulation model describing the drop deformation has been developed. The model is based on Taylor's [1964. International Congress on Applied Mechanics, vol. 11, 790-796] static conical drop shape model, but has been extended to include elliptic drops undergoing rapid deformation. The model was incorporated into a numerical scheme using Matlab and the drop deformation in the 4RM... (More)
The deformation of a drop flowing along the centre streamline of a four-roll mill (4RM) has been investigated. The velocities and elongation rates along the centre streamline in the 4RM were measured using particle tracking velocimetry. The deformation and position of the deforming drops were photographed with a video camera. A dynamic, one-dimensional, analytical simulation model describing the drop deformation has been developed. The model is based on Taylor's [1964. International Congress on Applied Mechanics, vol. 11, 790-796] static conical drop shape model, but has been extended to include elliptic drops undergoing rapid deformation. The model was incorporated into a numerical scheme using Matlab and the drop deformation in the 4RM was simulated. The simulations were compared with the results of the experiments with the help of a dynamic Weber number incorporating the exact effect of the continuous phase stress on the deformation of the drop. With a dynamic Weber number of 0.42 the agreement between the experiments and the simulations along the whole deformation process was excellent for all three drop diameters studied. With this model the deformation of drops of all sizes in different elongation fields can be calculated, for example sub-micron-sized drops in a high-pressure homogeniser. (c) 2005 Elsevier Ltd. All rights reserved. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Four-roll mill, Drop deformation, Emulsion, Fluid mechanics, Food processing, Modelling
in
Chemical Engineering Science
volume
60
issue
17
pages
4771 - 4779
publisher
Elsevier
external identifiers
  • wos:000230700100008
  • scopus:20344401091
ISSN
0009-2509
DOI
10.1016/j.ces.2005.03.020
language
English
LU publication?
yes
id
bd7f5ff4-21d7-4762-9d4c-21380ba41b29 (old id 152041)
date added to LUP
2007-07-18 14:36:54
date last changed
2017-01-01 06:59:23
@article{bd7f5ff4-21d7-4762-9d4c-21380ba41b29,
  abstract     = {The deformation of a drop flowing along the centre streamline of a four-roll mill (4RM) has been investigated. The velocities and elongation rates along the centre streamline in the 4RM were measured using particle tracking velocimetry. The deformation and position of the deforming drops were photographed with a video camera. A dynamic, one-dimensional, analytical simulation model describing the drop deformation has been developed. The model is based on Taylor's [1964. International Congress on Applied Mechanics, vol. 11, 790-796] static conical drop shape model, but has been extended to include elliptic drops undergoing rapid deformation. The model was incorporated into a numerical scheme using Matlab and the drop deformation in the 4RM was simulated. The simulations were compared with the results of the experiments with the help of a dynamic Weber number incorporating the exact effect of the continuous phase stress on the deformation of the drop. With a dynamic Weber number of 0.42 the agreement between the experiments and the simulations along the whole deformation process was excellent for all three drop diameters studied. With this model the deformation of drops of all sizes in different elongation fields can be calculated, for example sub-micron-sized drops in a high-pressure homogeniser. (c) 2005 Elsevier Ltd. All rights reserved.},
  author       = {Innings, Fredrik and Hamberg, L and Trägårdh, Christian},
  issn         = {0009-2509},
  keyword      = {Four-roll mill,Drop deformation,Emulsion,Fluid mechanics,Food processing,Modelling},
  language     = {eng},
  number       = {17},
  pages        = {4771--4779},
  publisher    = {Elsevier},
  series       = {Chemical Engineering Science},
  title        = {Dynamic modelling of the deformation of a drop in a four-roll mill},
  url          = {http://dx.doi.org/10.1016/j.ces.2005.03.020},
  volume       = {60},
  year         = {2005},
}