Impulsively Generated Incompressible Two-Phase Flow and the Asai Thermal Ink-jet Model
G. McBain, и S. Mallinson. 21st Australasian Fluid Mechanics Conference, Australasian Fluid Mechanics Society, Australasian Fluid Mechanics Society, (10–13 dec 2018)
Аннотация
A widespread model of thermal ink-jet actuation prescribes the
pressure of the expanding bubble as a rapidly decreasing function of
time, this being taken as a finite version of a Dirac impulse with
only the integral with respect to time mattering. Here it is shown
that the impulse is actually easier to treat numerically than the
bounded approximation and an implementation in OpenFOAM is described;
however, solutions so obtained reveal that the flow does depend on the
timescale over which the pressure is applied, i.e. on first and higher
moments of the pressure function. An asymptotic expansion of a lumped
linear model is derived which predicts the dependence of the induced
flow on these moments for an arbitrarily shaped pressure pulse.
%0 Conference Paper
%1 McBain2018Impulsively
%A McBain, G. D.
%A Mallinson, S. G.
%B 21st Australasian Fluid Mechanics Conference
%D 2018
%E Lau, T. C. W.
%E Kelso, R. M.
%I Australasian Fluid Mechanics Society
%K 76d45-capillarity-in-viscous-fluids 76m12-finite-volume-methods-in-fluid-mechanics 76t10-liquid-gas-two-phase-flows-bubbly-flows openfoam
%T Impulsively Generated Incompressible Two-Phase Flow and the Asai Thermal Ink-jet Model
%U https://people.eng.unimelb.edu.au/imarusic/proceedings/21/Contribution\_616\_final.pdf
%X A widespread model of thermal ink-jet actuation prescribes the
pressure of the expanding bubble as a rapidly decreasing function of
time, this being taken as a finite version of a Dirac impulse with
only the integral with respect to time mattering. Here it is shown
that the impulse is actually easier to treat numerically than the
bounded approximation and an implementation in OpenFOAM is described;
however, solutions so obtained reveal that the flow does depend on the
timescale over which the pressure is applied, i.e. on first and higher
moments of the pressure function. An asymptotic expansion of a lumped
linear model is derived which predicts the dependence of the induced
flow on these moments for an arbitrarily shaped pressure pulse.
%@ 978-0-646-59784-3
@inproceedings{McBain2018Impulsively,
abstract = {{A widespread model of thermal ink-jet actuation prescribes the
pressure of the expanding bubble as a rapidly decreasing function of
time, this being taken as a finite version of a Dirac impulse with
only the integral with respect to time mattering. Here it is shown
that the impulse is actually easier to treat numerically than the
bounded approximation and an implementation in OpenFOAM is described;
however, solutions so obtained reveal that the flow does depend on the
timescale over which the pressure is applied, i.e. on first and higher
moments of the pressure function. An asymptotic expansion of a lumped
linear model is derived which predicts the dependence of the induced
flow on these moments for an arbitrarily shaped pressure pulse.}},
added-at = {2019-03-01T00:11:50.000+0100},
author = {McBain, G. D. and Mallinson, S. G.},
biburl = {https://www.bibsonomy.org/bibtex/2129205d71253395e5f25b577a5570c5e/gdmcbain},
booktitle = {21st Australasian Fluid Mechanics Conference},
citeulike-article-id = {14626595},
citeulike-attachment-1 = {mcbain_18.pdf; /pdf/user/gdmcbain/article/14626595/1142750/mcbain_18.pdf; 48dfe185f4462e807c2f3de13608e26c9a020a3e},
citeulike-linkout-0 = {https://people.eng.unimelb.edu.au/imarusic/proceedings/21/Contribution\_616\_final.pdf},
day = {10–13},
editor = {Lau, T. C. W. and Kelso, R. M.},
file = {mcbain_18.pdf},
interhash = {d9d943c4ae8c38dd719467c0896a2638},
intrahash = {129205d71253395e5f25b577a5570c5e},
isbn = {978-0-646-59784-3},
keywords = {76d45-capillarity-in-viscous-fluids 76m12-finite-volume-methods-in-fluid-mechanics 76t10-liquid-gas-two-phase-flows-bubbly-flows openfoam},
location = {Adelaide},
month = dec,
organization = {Australasian Fluid Mechanics Society},
posted-at = {2018-08-17 07:02:05},
priority = {0},
publisher = {Australasian Fluid Mechanics Society},
timestamp = {2019-03-01T00:11:50.000+0100},
title = {Impulsively Generated Incompressible Two-Phase Flow and the {A}sai Thermal Ink-jet Model},
url = {https://people.eng.unimelb.edu.au/imarusic/proceedings/21/Contribution\_616\_final.pdf},
year = 2018
}