Three-dimensional (3D) direct simulation Monte Carlo (DSMC) has been used to simulate flow in a straight microchannel using an in-house parallelized code. In the present work, a comparative study of seven boundary conditions is carried out with respect to time required for achieving steady-state, accuracy in predicting the specified pressure at the boundaries, and the total simulation time required for attaining a statistical error within one percent. The effect of changing the Knudsen number, pressure ratio (PR), and cross aspect ratio (CAR) on these parameters is also studied. The presence of a boundary is seen to affect the simulated pressure in a cell when compared to the specified pressure, the difference being highest for corner cells and least for cells away from walls. All boundary conditions tested work well at the inlet boundary; however, similar results are not obtained at the outlet boundary. For the same cell size, the schemes that employ first- and second-order corrections lead to a smaller pressure difference compared to schemes applying no corrections. The best predictions can be obtained by using first-order corrections with finer cell size close to the boundary. For most of the simulated cases, the boundary condition employing the characteristic scheme with nonequilibrium effect leads to the minimum simulation time. Considering the nonequilibrium effect, prediction of inlet and outlet pressures and the speed of simulation, the characteristic scheme with nonequilibrium effect performs better than all the other schemes, at least over the range of parameters investigated herein.
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March 2018
Research-Article
Comparison of Various Pressure Based Boundary Conditions for Three-Dimensional Subsonic DSMC Simulation
Niraj Shah,
Niraj Shah
Mechanical Engineering Department,
Institute of Technology,
Nirma University,
Ahmedabad 382481, Gujarat, India
e-mail: niraj.shah@nirmauni.ac.in
Institute of Technology,
Nirma University,
Ahmedabad 382481, Gujarat, India
e-mail: niraj.shah@nirmauni.ac.in
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Abhimanyu Gavasane,
Abhimanyu Gavasane
Centre for Research in Nanotechnology
in Science,
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: abhimanyug@iitb.ac.in
in Science,
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: abhimanyug@iitb.ac.in
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Amit Agrawal,
Amit Agrawal
Department of Mechanical Engineering,
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: amit.agrawal@iitb.ac.in
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: amit.agrawal@iitb.ac.in
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Upendra Bhandarkar
Upendra Bhandarkar
Department of Mechanical Engineering,
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: bhandarkar@iitb.ac.in
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: bhandarkar@iitb.ac.in
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Niraj Shah
Mechanical Engineering Department,
Institute of Technology,
Nirma University,
Ahmedabad 382481, Gujarat, India
e-mail: niraj.shah@nirmauni.ac.in
Institute of Technology,
Nirma University,
Ahmedabad 382481, Gujarat, India
e-mail: niraj.shah@nirmauni.ac.in
Abhimanyu Gavasane
Centre for Research in Nanotechnology
in Science,
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: abhimanyug@iitb.ac.in
in Science,
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: abhimanyug@iitb.ac.in
Amit Agrawal
Department of Mechanical Engineering,
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: amit.agrawal@iitb.ac.in
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: amit.agrawal@iitb.ac.in
Upendra Bhandarkar
Department of Mechanical Engineering,
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: bhandarkar@iitb.ac.in
Indian Institute of Technology Bombay,
Mumbai 400076, Maharashtra, India
e-mail: bhandarkar@iitb.ac.in
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 22, 2017; final manuscript received August 3, 2017; published online October 19, 2017. Assoc. Editor: Riccardo Mereu.
J. Fluids Eng. Mar 2018, 140(3): 031205 (12 pages)
Published Online: October 19, 2017
Article history
Received:
April 22, 2017
Revised:
August 3, 2017
Citation
Shah, N., Gavasane, A., Agrawal, A., and Bhandarkar, U. (October 19, 2017). "Comparison of Various Pressure Based Boundary Conditions for Three-Dimensional Subsonic DSMC Simulation." ASME. J. Fluids Eng. March 2018; 140(3): 031205. https://doi.org/10.1115/1.4037679
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