Burnett simulation of gas flow and heat transfer in micro Poiseuille flow

International Journal of Heat and Mass Transfer

Volumn 51, Issue 15-16, 2008, Pages 4139-4144

  Bao, Fubing ^a,b   Lin, Jianzhong ^a,b  

^a ZHEJIANG UNIVERSITY   (China)

^b CHINA JILIANG UNIVERSITY   (China)

Author keywords

Burnett equations; Heat transfer; Poiseuille flow; Slip boundary condition; Thermal creep effect

Indexed keywords

AERODYNAMICS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CREEP; FLOW OF GASES; FLOW SIMULATION; FLUID DYNAMICS; FLUID MECHANICS; GAS DYNAMICS; HEAT EXCHANGERS; HEAT TRANSFER; HEATING EQUIPMENT; INTERNET PROTOCOLS; NANOFLUIDICS; NUSSELT NUMBER; STABILITY; THERMOANALYSIS;

BURNETT EQUATIONS; COMPRESSIBLE GAS FLOW; CREEP EFFECTS; ELSEVIER (CO); EXPERIMENTAL DATA; GAS FLOWING; KNUDSEN NUMBERS; LOCAL NUSSELT NUMBER; POISEUILLE FLOWS; POISEUILLE NUMBERS; RELAXATION METHODS; SLIP BOUNDARY CONDITIONS; TRANSITION FLOW REGIME;

NUMERICAL METHODS;

EID: 45449083611     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2007.12.009     Document Type: Article

References (21)

1. Harley J.C., Huang Y., Bau H.H., and Zemel J.N. Gas flow in micro-channels. J. Fluid Mech. 284 (1995) 257-274
2. Gad-el-Hak M. The fluid mechanics of microdevices - the Freeman Scholar Lecture. Trans. ASME J. Fluid Eng. 121 (1999) 5-33
3. Agarwal R.K., Yun K.Y., and Balakrishnan R. Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime. Phys. Fluids 13 (2001) 3061-3085
4. Bird G.A. Molecular Gas Dynamics and the Direct Simulation of Gas Flows (1994), Oxford University Press
5. Chapman S., and Cowling T.G. The Mathematical Theory of Nonuniform Gases (1970), Cambridge Univ. Press, New York
6. K.A. Fiscko, D.R. Chapman, Comparison of Burnett, super-Burnett, and Monte Carlo solutions for hypersonic shock structure, in: Proceedings of the 16th International Symposium on Rarefied Gas Dynamics, 1988, pp. 374-395.
7. Xue H., Ji H.M., and Shu C. Prediction of flow and heat transfer characteristics in micro Couette flow. Microscale Thermophys. Eng. 7 (2003) 51-68
8. Bao F.B., and Lin J.Z. Burnett simulation of flow and heat transfer in micro Couette flow using second-order slip conditions. Heat Mass Transfer 43 (2007) 559-566
9. Aydin O., and Avci M. Analysis of laminar heat transfer in micro-Poiseuille flow. Int. J. Therm. Sci. 46 (2007) 30-37
10. Hadjiconstantinou N.G., and Simek O. Constant-wall-temperature Nusselt number in micro and nano-channels. J. Heat Transfer 124 (2002) 356-364
11. Renksizbulut M., Niazmand H., and Tercan G. Slip-flow and heat transfer in rectangular microchannels with constant wall temperature. Int. J. Therm. Sci. 45 (2006) 870-881
12. Guo Z.Y., and Wu X.B. Compressibility effect on the gas flow and heat transfer in a microtube. Int. J. Heat Mass Transfer 40 (1997) 3251-3254
13. Asako Y., Pi T., Turner S.E., and Faghri M. Effect of compressibility on gaseous flows in micro-channels. Int. J. Heat Mass Transfer 46 (2003) 3041-3050
14. Chen C.S. Numerical analysis of heat transfer for steady three-dimensional compressible flow in long microchannels. J. Enhanc. Heat Transfer 12 (2005) 171-188
15. Lockerby D.A., and Reese J.M. High-resolution Burnett simulations of micro Couette flow and heat transfer. J. Comput. Phys. 188 (2003) 333-347
16. Colin S., Lalonde P., and Caen R. Validation of a second-order slip flow model in rectangular microchannels. Heat Transfer Eng. 25 (2004) 23-30
17. Barber R.W., and Emerson D.R. Challenges in modeling gas-phase flow in microchannels: from slip to transition. Heat Transfer Eng. 27 (2006) 3-12
18. Beskok A., Karniadakis G.E., and Trimmer W. Rarefaction and compressibility effects in gas microflows. J. Fluid Eng-T ASME 118 (1996) 448-456
19. X. Zhong, Development and computation of continuum higher order constitutive relations for high-altitude hypersonic flow, Ph.D thesis, Stanford University, 1991.
20. Y.C. Fang, Parallel simulation of microflows by DSMC and Burnett equations, Ph.D thesis, Western Michigan University, 2003.
21. K.C. Pong, C.M. Ho, J.Q. Liu, Y.C. Tai, Non-linear pressure distribution in uniform micro-channels, Applications of Microfabrication to Fluid Mechanics, in: ASMEFED, vol. 197, 1994, pp. 51-56.