Research Papers: Micro/Nanoscale Heat Transfer

Direct Simulation Monte Carlo Solution of Subsonic Flow Through Micro/Nanoscale Channels

[+] Author and Article Information
Ehsan Roohi, Vahid Mirjalili

Department of Aerospace Engineering, Sharif University of Technology, P.O. Box 11365-8639, Tehran 11365, Iran

Masoud Darbandi1

Department of Aerospace Engineering, Sharif University of Technology, P.O. Box 11365-8639, Tehran 11365, Irandarbandi@sharif.edu


Corresponding author.

J. Heat Transfer 131(9), 092402 (Jun 24, 2009) (8 pages) doi:10.1115/1.3139105 History: Received July 04, 2008; Revised April 02, 2009; Published June 24, 2009

We use a direct simulation Monte Carlo (DSMC) method to simulate gas heating/cooling and choked subsonic flows in micro/nanoscale channels subject to either constant wall temperature or constant/variable heat flux boundary conditions. We show the effects of applying various boundary conditions on the mass flow rate and the flow parameters. We also show that it is necessary to add a buffer zone at the end of the channel if we wish to simulate more realistic conditions at the channel outlet. We also discuss why applying equilibrium-based Maxwellian distribution on molecules coming from the channel outlet, where the flow is nonequilibrium, will not disturb the DSMC solution. The current velocity, pressure, and mass flow rate results are compared with different analytical solutions of the Navier–Stokes equations. Although there are good agreements between the DSMC results and the analytical solutions in low compressible flow, the analytical solutions yield incorrect velocity and mass flow rate values in short micro/nanochannel flows with high compressibility and/or choked flow conditions.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Geometry of the channel and its outlet buffer

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Figure 2

Grid study and comparison with DSMC (3) and analytical NS (12) solution: (a) centerline pressure distribution and (b) centerline pressure deviation

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Figure 3

Current DSMC wall heat flux distributions

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Figure 4

Pressure distributions and comparison with the first-(12) and second-order (16) NS analytical solutions

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Figure 5

Temperature and Mach number distributions, Cases 1–5: (a) centerline temperature, (b) near wall temperature, and (c) centerline Mach

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Figure 6

Mach number and temperature maps, Case 4

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Figure 7

Displaying results for Case 6 including: (a) Mach number in the channel without buffer zone, (b) Mach number in the channel with buffer zone, and (c) the parameter B in the channel with buffer zone

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Figure 8

Knudsen number based on GLL of density, Case 7

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Figure 9

Centerline temperature and Mach number distributions

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Figure 10

Temperature profiles at different axial sections, Case 7

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Figure 11

Normalized velocity profiles of DSMC and analytical solutions (16), Case 8




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