To characterize the microflow over a larger range of Knudsen numbers, an improved kinetic equation considering the volume diffusion effect for nonideal gases was presented based on Klimontovich's kinetic equation and Enskog equation-based lattice Boltzmann Bhatnagar–Gross–Krook (LBGK) model. Then, with the modified effective viscosity and the second-order slip boundary condition, a series of numerical simulations of gas flows with different mean Knudsen numbers were carried out based on the proposed model. Compared with the solutions of Navier–Stokes equations, Navier–Stokes equations with different slip boundary conditions, bivelocity hydrodynetics, and experimental data, we found that the present model can be valid up to a Knudsen number of 30. It is also shown that the present model furnishes a better solution in the transitional flow regime (0.1 < Kn < 10). The results not only illustrate that the present model could offer a satisfactory solution to a wider range of mean Knudsen number, but also show the importance of the compressibility and surface-dominated effects in micro gas flows. The improved model provides a promising tool for handling the micro gas flows with complex geometries and boundaries.
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September 2019
Research-Article
Lattice Boltzmann Simulation of Micro Gas Flows Over a Wide Range of Knudsen Numbers
Yan-Long Zhao,
Yan-Long Zhao
China University of
Petroleum-Beijing at Karamay,
Xinjiang 834000, China;
Petroleum-Beijing at Karamay,
Xinjiang 834000, China;
State Key Laboratory of Petroleum Resources
and Prospecting,
College of Petroleum Engineering,
China University of Petroleum,
Beijing 102249, China
e-mail: zhaoyanlong@cupk.edu.cn
and Prospecting,
College of Petroleum Engineering,
China University of Petroleum,
Beijing 102249, China
e-mail: zhaoyanlong@cupk.edu.cn
Search for other works by this author on:
Zhi-Ming Wang
Zhi-Ming Wang
State Key Laboratory of
Petroleum Resources and Prospecting,
College of Petroleum Engineering,
China University of Petroleum,
Beijing 102249, China
e-mail: wellcompletion@126.com
Petroleum Resources and Prospecting,
College of Petroleum Engineering,
China University of Petroleum,
Beijing 102249, China
e-mail: wellcompletion@126.com
Search for other works by this author on:
Yan-Long Zhao
China University of
Petroleum-Beijing at Karamay,
Xinjiang 834000, China;
Petroleum-Beijing at Karamay,
Xinjiang 834000, China;
State Key Laboratory of Petroleum Resources
and Prospecting,
College of Petroleum Engineering,
China University of Petroleum,
Beijing 102249, China
e-mail: zhaoyanlong@cupk.edu.cn
and Prospecting,
College of Petroleum Engineering,
China University of Petroleum,
Beijing 102249, China
e-mail: zhaoyanlong@cupk.edu.cn
Zhi-Ming Wang
State Key Laboratory of
Petroleum Resources and Prospecting,
College of Petroleum Engineering,
China University of Petroleum,
Beijing 102249, China
e-mail: wellcompletion@126.com
Petroleum Resources and Prospecting,
College of Petroleum Engineering,
China University of Petroleum,
Beijing 102249, China
e-mail: wellcompletion@126.com
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 23, 2018; final manuscript received February 6, 2019; published online March 18, 2019. Assoc. Editor: Oleg Schilling.
J. Fluids Eng. Sep 2019, 141(9): 091401 (8 pages)
Published Online: March 18, 2019
Article history
Received:
July 23, 2018
Revised:
February 6, 2019
Citation
Zhao, Y., and Wang, Z. (March 18, 2019). "Lattice Boltzmann Simulation of Micro Gas Flows Over a Wide Range of Knudsen Numbers." ASME. J. Fluids Eng. September 2019; 141(9): 091401. https://doi.org/10.1115/1.4042886
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