Modeling dense gas flows inside channels with sections comparable to the diameter of gas molecules is essential in porous medium applications, such as in non-conventional shale reservoir management and nanofluidic separation membranes. In this paper, we perform the first verification study of the Enskog equation by using particle simulation methods based on the same hard-sphere collisions dynamics. Our in-house Event-Driven Molecular Dynamics (EDMD) code and a pseudo-hard-sphere Molecular Dynamics (PHS-MD) solver are used to study force-driven Poiseuille flows in the limit of high gas densities and high confinements. Our results showed (a) very good agreement between EDMD, PHS-MD, and Enskog solutions across density, velocity, and temperature profiles for all the simulation conditions and (b) numerical evidence that deviations exist in the normalized mass flow rate vs Knudsen number curve compared to the standard curve without confinement. While we observe slight deviations in the Enskog density and velocity profiles from the MD when the reduced density is greater than 0.2, this limit is well above practical engineering applications, such as in shale gas. The key advantages of promoting the Enskog equation for upscaling flows in porous media lie in its ability to capture the non-equilibrium physics of tightly confined fluids while being computationally more efficient than fundamental simulation approaches, such as molecular dynamics and derivative solvers.
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September 2020
Research Article|
September 01 2020
Dense gas flow simulations in ultra-tight confinement
Special Collection:
Advances in Micro/Nano Fluid Flows: In Memory of Prof. Jason Reese
Qiang Sheng;
Qiang Sheng
1
School of Engineering, University of Edinburgh
, Edinburgh EH9 3FB, United Kingdom
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Livio Gibelli;
Livio Gibelli
1
School of Engineering, University of Edinburgh
, Edinburgh EH9 3FB, United Kingdom
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Jun Li
;
Jun Li
a)
2
Center for Integrative Petroleum Research, College of Petroleum Engineering and Geosciences, King Fahd University of Petroleum and Minerals
, Dhahran 31261, Saudi Arabia
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Matthew K. Borg
;
Matthew K. Borg
a)
1
School of Engineering, University of Edinburgh
, Edinburgh EH9 3FB, United Kingdom
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Yonghao Zhang
Yonghao Zhang
3
James Weir Fluids Laboratory, Department of Mechanical and Aerospace Engineering, University of Strathclyde
, Glasgow G1 1XJ, United Kingdom
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Note: This paper is part of the Special Topic, Advances in Micro/Nano Fluid Flows: In Memory of Professor Jason Reese.
Physics of Fluids 32, 092003 (2020)
Article history
Received:
June 24 2020
Accepted:
August 12 2020
Citation
Qiang Sheng, Livio Gibelli, Jun Li, Matthew K. Borg, Yonghao Zhang; Dense gas flow simulations in ultra-tight confinement. Physics of Fluids 1 September 2020; 32 (9): 092003. https://doi.org/10.1063/5.0019559
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