Burnett simulations of gas flow and heat transfer in microchannels

doi:10.1007/s11465-009-0037-6

Front Mech Eng Chin

2009, Vol. 4

Issue (3) : 252-263 https://doi.org/10.1007/s11465-009-0037-6

RESEARCH ARTICLE

Burnett simulations of gas flow and heat transfer in microchannels

Fubing BAO, Jianzhong LIN(

)

College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018,China

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Abstract

In micro- and nanoscale gas flows, the flow falls into the transition flow regime. There are not enough molecule collisions and the gas deviates from the equilibrium. The Navier-Stokes equations fail to describe the gas flow in this regime. The direct simulation Monte Carlo method converges slowly and requires lots of computational time. As a result, the high-order Burnett equations are used to study the gas flow and heat transfer characteristics in micro- and nanoscale gas flows in this paper. The Burnett equations are first reviewed, and the augmented Burnett equations with high-order slip boundary conditions are then used to model the gas flow and heat transfer in Couette and Poiseuille flows in the transition regime.

Keywords micro- and nanoscale gas flow slip-transition flow regime Burnett equations numerical simulation

Corresponding Author(s): LIN Jianzhong,Email:mecjzlin@yahoo.com

Issue Date: 05 September 2009

Cite this article:

Fubing BAO,Jianzhong LIN. Burnett simulations of gas flow and heat transfer in microchannels[J]. Front Mech Eng Chin, 2009, 4(3): 252-263.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-009-0037-6
https://academic.hep.com.cn/fme/EN/Y2009/V4/I3/252

Fig.1 Schematic of micro Couette flow

Fig.2 Variation of wall heat flux with (=3)

Fig.3 Variation of the wall shear stress with (=3)

Fig.4 Variation of temperature jumps at the wall with at different Mach numbers

Fig.5 Variation of velocity slips at the wall with at different Mach numbers

Fig.6 Schematic of Poiseuille flow

Fig.7 Pressure distributions along the channel

Fig.8 Mass flow rate versus inlet pressure

Fig.9 Velocity profiles at three locations, /=0.2, 0.5, and 0.8

Fig.10 Centerline velocities along the channel

Fig.11 Slip velocities of Burnett and - equations at different

Fig.12 Velocity profiles of Burnett and - equations at different at =0.5

Fig.13 Deviations of the pressure from the linear distribution at five different pressure ratios

Fig.14 Slip velocities along the channel with and without thermal creep effect

Fig.15 Gas temperatures along the channel

Fig.16 Variation of along the channel at different

Fig.17 Variation of along the channel at different

Fig.18 Temperature profiles at different axial locations

Fig.19 Variation of along the channel at different

Fig.20 Variation of along the channel at different

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