Properties of a dense hard-sphere gas near the walls of a microchannel

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

6 Citations (Scopus)

Abstract

A mathematical model has been developed to characterize the effect of packing of molecules of a hard-sphere dense gas near the hard walls of a microchannel. Analytical techniques, Monte Carlo (MC) methods and Molecular Dynamics (MD) simulation methods have been used to characterize the influence of the characteristic parameters such as number density, reduced density, length of the system and molecular diameter on the equilibrium properties of the gas near the hard walls of the microchannel. The height and the position of the density oscillation peaks near the wall are characterized. Comparisons between MD and MC results for particles having different diameter are presented. For the same size of the particles and moderately dense gas, MC and MD results are similar, differences in the density profiles being limited only to the oscillatory region. For different particle sizes, MD and MC results are limited to a short distance near the wall for long size systems and moderately dense fluids. The effect of the boundary (particle size) on the simulation results is increasing with ¿ (reduced density) and it is very small in case of a dilute gas. For small ¿ and small particle size (R) relative to length of the system L, the height of the oscillations peaks is slowly increasing with R/L, and for high densities is always decreasing with R/L. The position of these peaks depends only on the size of the particles and when R is much smaller than L, it shows a small dependence on L.
Original languageEnglish
Title of host publicationICMM2004 : proceedings of the 2nd international conference on microchannels and minichannels, Rochester, New York, USA
EditorsS.G. Kandlikar
Place of PublicationNew York
PublisherAmerican Society of Mechanical Engineers
Pages289-296
ISBN (Print)0-7918-4164-2
Publication statusPublished - 2004
Event2nd International Conference on Microchannels and Minichannels (ICMM 2004) - Rochester, NY, United States
Duration: 17 Jun 200419 Jun 2004
Conference number: 2

Conference

Conference2nd International Conference on Microchannels and Minichannels (ICMM 2004)
Abbreviated titleICMM 2004
CountryUnited States
CityRochester, NY
Period17/06/0419/06/04

Fingerprint

microchannels
gases
molecular dynamics
oscillations
Monte Carlo method
mathematical models
simulation
fluids
profiles
molecules

Cite this

Nedea, S. V., Frijns, A. J. H., Steenhoven, van, A. A., & Jansen, A. P. J. (2004). Properties of a dense hard-sphere gas near the walls of a microchannel. In S. G. Kandlikar (Ed.), ICMM2004 : proceedings of the 2nd international conference on microchannels and minichannels, Rochester, New York, USA (pp. 289-296). New York: American Society of Mechanical Engineers.
Nedea, S.V. ; Frijns, A.J.H. ; Steenhoven, van, A.A. ; Jansen, A.P.J. / Properties of a dense hard-sphere gas near the walls of a microchannel. ICMM2004 : proceedings of the 2nd international conference on microchannels and minichannels, Rochester, New York, USA. editor / S.G. Kandlikar. New York : American Society of Mechanical Engineers, 2004. pp. 289-296
@inproceedings{1985885f85fe452fbd81c73a23720d46,
title = "Properties of a dense hard-sphere gas near the walls of a microchannel",
abstract = "A mathematical model has been developed to characterize the effect of packing of molecules of a hard-sphere dense gas near the hard walls of a microchannel. Analytical techniques, Monte Carlo (MC) methods and Molecular Dynamics (MD) simulation methods have been used to characterize the influence of the characteristic parameters such as number density, reduced density, length of the system and molecular diameter on the equilibrium properties of the gas near the hard walls of the microchannel. The height and the position of the density oscillation peaks near the wall are characterized. Comparisons between MD and MC results for particles having different diameter are presented. For the same size of the particles and moderately dense gas, MC and MD results are similar, differences in the density profiles being limited only to the oscillatory region. For different particle sizes, MD and MC results are limited to a short distance near the wall for long size systems and moderately dense fluids. The effect of the boundary (particle size) on the simulation results is increasing with ¿ (reduced density) and it is very small in case of a dilute gas. For small ¿ and small particle size (R) relative to length of the system L, the height of the oscillations peaks is slowly increasing with R/L, and for high densities is always decreasing with R/L. The position of these peaks depends only on the size of the particles and when R is much smaller than L, it shows a small dependence on L.",
author = "S.V. Nedea and A.J.H. Frijns and {Steenhoven, van}, A.A. and A.P.J. Jansen",
year = "2004",
language = "English",
isbn = "0-7918-4164-2",
pages = "289--296",
editor = "S.G. Kandlikar",
booktitle = "ICMM2004 : proceedings of the 2nd international conference on microchannels and minichannels, Rochester, New York, USA",
publisher = "American Society of Mechanical Engineers",
address = "United States",

}

Nedea, SV, Frijns, AJH, Steenhoven, van, AA & Jansen, APJ 2004, Properties of a dense hard-sphere gas near the walls of a microchannel. in SG Kandlikar (ed.), ICMM2004 : proceedings of the 2nd international conference on microchannels and minichannels, Rochester, New York, USA. American Society of Mechanical Engineers, New York, pp. 289-296, 2nd International Conference on Microchannels and Minichannels (ICMM 2004), Rochester, NY, United States, 17/06/04.

Properties of a dense hard-sphere gas near the walls of a microchannel. / Nedea, S.V.; Frijns, A.J.H.; Steenhoven, van, A.A.; Jansen, A.P.J.

ICMM2004 : proceedings of the 2nd international conference on microchannels and minichannels, Rochester, New York, USA. ed. / S.G. Kandlikar. New York : American Society of Mechanical Engineers, 2004. p. 289-296.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Properties of a dense hard-sphere gas near the walls of a microchannel

AU - Nedea, S.V.

AU - Frijns, A.J.H.

AU - Steenhoven, van, A.A.

AU - Jansen, A.P.J.

PY - 2004

Y1 - 2004

N2 - A mathematical model has been developed to characterize the effect of packing of molecules of a hard-sphere dense gas near the hard walls of a microchannel. Analytical techniques, Monte Carlo (MC) methods and Molecular Dynamics (MD) simulation methods have been used to characterize the influence of the characteristic parameters such as number density, reduced density, length of the system and molecular diameter on the equilibrium properties of the gas near the hard walls of the microchannel. The height and the position of the density oscillation peaks near the wall are characterized. Comparisons between MD and MC results for particles having different diameter are presented. For the same size of the particles and moderately dense gas, MC and MD results are similar, differences in the density profiles being limited only to the oscillatory region. For different particle sizes, MD and MC results are limited to a short distance near the wall for long size systems and moderately dense fluids. The effect of the boundary (particle size) on the simulation results is increasing with ¿ (reduced density) and it is very small in case of a dilute gas. For small ¿ and small particle size (R) relative to length of the system L, the height of the oscillations peaks is slowly increasing with R/L, and for high densities is always decreasing with R/L. The position of these peaks depends only on the size of the particles and when R is much smaller than L, it shows a small dependence on L.

AB - A mathematical model has been developed to characterize the effect of packing of molecules of a hard-sphere dense gas near the hard walls of a microchannel. Analytical techniques, Monte Carlo (MC) methods and Molecular Dynamics (MD) simulation methods have been used to characterize the influence of the characteristic parameters such as number density, reduced density, length of the system and molecular diameter on the equilibrium properties of the gas near the hard walls of the microchannel. The height and the position of the density oscillation peaks near the wall are characterized. Comparisons between MD and MC results for particles having different diameter are presented. For the same size of the particles and moderately dense gas, MC and MD results are similar, differences in the density profiles being limited only to the oscillatory region. For different particle sizes, MD and MC results are limited to a short distance near the wall for long size systems and moderately dense fluids. The effect of the boundary (particle size) on the simulation results is increasing with ¿ (reduced density) and it is very small in case of a dilute gas. For small ¿ and small particle size (R) relative to length of the system L, the height of the oscillations peaks is slowly increasing with R/L, and for high densities is always decreasing with R/L. The position of these peaks depends only on the size of the particles and when R is much smaller than L, it shows a small dependence on L.

M3 - Conference contribution

SN - 0-7918-4164-2

SP - 289

EP - 296

BT - ICMM2004 : proceedings of the 2nd international conference on microchannels and minichannels, Rochester, New York, USA

A2 - Kandlikar, S.G.

PB - American Society of Mechanical Engineers

CY - New York

ER -

Nedea SV, Frijns AJH, Steenhoven, van AA, Jansen APJ. Properties of a dense hard-sphere gas near the walls of a microchannel. In Kandlikar SG, editor, ICMM2004 : proceedings of the 2nd international conference on microchannels and minichannels, Rochester, New York, USA. New York: American Society of Mechanical Engineers. 2004. p. 289-296