Particle Simulation of Rarefied Gas Flows witha Superimposed Wall Surface Temperature Gradient in Microgeometries
Rarefied gas flows are often occurred in micro electro
mechanical systems and classical CFD could not precisely anticipate
the flow and thermal behavior due to the high Knudsen number.
Therefore, the heat transfer and the fluid dynamics characteristics of
rarefied gas flows in both a two-dimensional simple microchannel
and geometry similar to single Knudsen compressor have been
investigated with a goal of increasing performance of a actual
Knudsen compressor by using a particle simulation method. Thermal
transpiration and thermal creep, which are rarefied gas dynamic
phenomena, that cause movement of the flow from less to higher
temperature is generated by using two different longitude temperature
gradients (Linear, Step) along the walls of the flow microchannel. In
this study the influence of amount of temperature gradient and
governing pressure in various Knudsen numbers and length-to-height
ratios have been examined.
[1] G. E. Karniadakis, A. Beskok, N. Aluru, Microflows and Nanoflows:
Fundamentals and Simulation, Springer, New York, 2005.
[2] C. Cai, I. D. Boyd, J. Fan, and F. V. Candler, "Direct simulation
methods for low-speed microchannel flows", J. Thermophys. Heat
Transfer 14(3)(2000), 368-378.
[3] Bird, G.A., 1976. Molecular Gas Dynamics. Clarendon Press, Oxford.
[4] G.A. Bird, Molecular Gas Dynamics and the Direct Simulations of Gas
Flows, Oxford University Press (1994).
[5] Bird, G.A., 1998. Recent advances and current challenges for DSMC.
Computers and Mathematics with Applications 35, 1-14.
[6] Knudsen, M. "Eine Revision der Gleichgewichtsbedingung der Gase.
Thermische Molekularströmung." Ann. Phys. 31 (1910): 205.
[7] M.S, Ivanov, G.N, Markelov, S.F. Gimelshein, AIAA Paper 98-2669
(1998) .
[8] Liou, W.W., Fang, Y.C., 2000. Implicit boundary conditions for direct
simulation Monte Carlo method in MEMS flow predictions. Computer
Modeling in Engineering and Science 4, 119-128.
[9] Liou, W.W., Fang, Y.C., 2001. Heat transfer in microchannel devices
using DSMC. Journal of Microelectromechanical Systems 10, 274-279.
[10] G. Pham-Van-Diep, D. Erwin, E. P. Muntz, Science, 245, 624 (1989).
[11] Knudsen, M. "Thermischer Molekulardruck der Gase in Röhren." Ann.
Phys. 33 (1910): 1435.
[12] Young, M., Han, Y.L., Muntz, E.P., Shiflett, S. "Characterization and
Optimization of a Radiantly Driven Multi-Stage Knudsen Compressor."
24th international Symposium on Rarefied Gas Dynamics. Bari, Italy,
2004.
[13] Young, M., Han, Y. L. "Aerogel as a Thermal Transpiration Membrane
Material." 35th Annual SCCAVS Symposium, Anaheim, CA, 2002.
[14] E.P. Muntz, Y. Sone, K. Aoki, S. Vargo, M. Young, Performance
analysis and optimization considerations for a Knudsen Compressor in
transitional flow, J. Vac. Sci. Technol. A 20 (1) (2002) 214-224.
[15] C. Cercignani, Rarefied gas dynamics. From basic concepts to actual
calculations, Cambridge University Press (2000).
[16] 12. Muntz, E.P. and Vargo, S.E. "Micro Scale Vacuum Pumps." The
MEMS Handbook. Ed. G. Gad-el-Hak. CRC Press, 2002: 29_1-29_28.
[17] S. S. Sazhin, and V. V. Serikov, Rarefied gas flows: hydrodynamic
versus Monte Carlo modeling, Planetary Sp. Sci., 45, 361-368 (1997).
[1] G. E. Karniadakis, A. Beskok, N. Aluru, Microflows and Nanoflows:
Fundamentals and Simulation, Springer, New York, 2005.
[2] C. Cai, I. D. Boyd, J. Fan, and F. V. Candler, "Direct simulation
methods for low-speed microchannel flows", J. Thermophys. Heat
Transfer 14(3)(2000), 368-378.
[3] Bird, G.A., 1976. Molecular Gas Dynamics. Clarendon Press, Oxford.
[4] G.A. Bird, Molecular Gas Dynamics and the Direct Simulations of Gas
Flows, Oxford University Press (1994).
[5] Bird, G.A., 1998. Recent advances and current challenges for DSMC.
Computers and Mathematics with Applications 35, 1-14.
[6] Knudsen, M. "Eine Revision der Gleichgewichtsbedingung der Gase.
Thermische Molekularströmung." Ann. Phys. 31 (1910): 205.
[7] M.S, Ivanov, G.N, Markelov, S.F. Gimelshein, AIAA Paper 98-2669
(1998) .
[8] Liou, W.W., Fang, Y.C., 2000. Implicit boundary conditions for direct
simulation Monte Carlo method in MEMS flow predictions. Computer
Modeling in Engineering and Science 4, 119-128.
[9] Liou, W.W., Fang, Y.C., 2001. Heat transfer in microchannel devices
using DSMC. Journal of Microelectromechanical Systems 10, 274-279.
[10] G. Pham-Van-Diep, D. Erwin, E. P. Muntz, Science, 245, 624 (1989).
[11] Knudsen, M. "Thermischer Molekulardruck der Gase in Röhren." Ann.
Phys. 33 (1910): 1435.
[12] Young, M., Han, Y.L., Muntz, E.P., Shiflett, S. "Characterization and
Optimization of a Radiantly Driven Multi-Stage Knudsen Compressor."
24th international Symposium on Rarefied Gas Dynamics. Bari, Italy,
2004.
[13] Young, M., Han, Y. L. "Aerogel as a Thermal Transpiration Membrane
Material." 35th Annual SCCAVS Symposium, Anaheim, CA, 2002.
[14] E.P. Muntz, Y. Sone, K. Aoki, S. Vargo, M. Young, Performance
analysis and optimization considerations for a Knudsen Compressor in
transitional flow, J. Vac. Sci. Technol. A 20 (1) (2002) 214-224.
[15] C. Cercignani, Rarefied gas dynamics. From basic concepts to actual
calculations, Cambridge University Press (2000).
[16] 12. Muntz, E.P. and Vargo, S.E. "Micro Scale Vacuum Pumps." The
MEMS Handbook. Ed. G. Gad-el-Hak. CRC Press, 2002: 29_1-29_28.
[17] S. S. Sazhin, and V. V. Serikov, Rarefied gas flows: hydrodynamic
versus Monte Carlo modeling, Planetary Sp. Sci., 45, 361-368 (1997).
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:56605", author = "V. Azadeh Ranjbar", title = "Particle Simulation of Rarefied Gas Flows witha Superimposed Wall Surface Temperature Gradient in Microgeometries", abstract = "Rarefied gas flows are often occurred in micro electro
mechanical systems and classical CFD could not precisely anticipate
the flow and thermal behavior due to the high Knudsen number.
Therefore, the heat transfer and the fluid dynamics characteristics of
rarefied gas flows in both a two-dimensional simple microchannel
and geometry similar to single Knudsen compressor have been
investigated with a goal of increasing performance of a actual
Knudsen compressor by using a particle simulation method. Thermal
transpiration and thermal creep, which are rarefied gas dynamic
phenomena, that cause movement of the flow from less to higher
temperature is generated by using two different longitude temperature
gradients (Linear, Step) along the walls of the flow microchannel. In
this study the influence of amount of temperature gradient and
governing pressure in various Knudsen numbers and length-to-height
ratios have been examined.", keywords = "DSMC, Thermal transpiration, Thermal creep,MEMS, Knudsen Compressor.", volume = "4", number = "10", pages = "1028-6", }