Simulation of Roughness Shape and Distribution Effects on Rarefied and Compressible Flows at Slip Flow Regime
A numerical simulation of micro Poiseuille flow has
performed for rarefied and compressible flow at slip flow regimes.
The wall roughness is simulated in two cases with triangular
microelements and random micro peaks distributed on wall surfaces
to study the effects of roughness shape and distribution on flow field.
Two values of Mach and Knudsen numbers have used to investigate
the effects of rarefaction as well as compressibility. The numerical
results have also checked with available theoretical and experimental
relations and good agreements has achieved. High influence of
roughness shape can be seen for both compressible and
incompressible rarefied flows. In addition it is found that rarefaction
has more significant effect on flow field in microchannels with
higher relative roughness. It is also found that compressibility has
more significant effects on Poiseuille number when relative
roughness increases.
[1] Yan Ji, Kun Yuan, J.N. Chung, Numerical simulation of wall roughness
on gaseous flow and heat transfer in a microchannel, Int. J. Heat Mass
Transfer 49, 2006 1329-1339.
[2] S.G. Kandlikar, S. Joshi, S. Tian, Effect of channel roughness on heat
transfer and fluid flow characteristics at low Reynolds numbers in small
diameter tubes, in: Proceedings of NHTC_01 35th National Heat
Transfer Conference, Anaheim, CA, June 2001, pp. 1-10.
[3] G.M. Mala, D. Li, Flow characteristics of water in microtubes, Int. J.
Heat Mass Transfer 20 (1999) 142-148.
[4] P.Y. Wu, W.A. Little, Measurement of friction factor for the flow of
gases in very fine channels used for microminiature Joule-Thomson
refrigerator, Cryogenics 23 (1983) 273-277.
[5] P.Y. Wu, W.A. Little, Measurement of the heat transfer characteristics of
gas flow in fine channel heat exchangers used for microminiature
refrigerators, Cryogenics 24 (1984) 415-420.
[6] S. B. Choi, R. F. Barron, and R. O. Warrington, Fluid Flow and Heat
Transfer in Microtubes,
[7] M. Usami, T. Fujimoto, S. Kato, Mass-flow reduction of rarefied flow
roughness of a slit surface, Trans. Jpn. Soc. Mech. Eng., B 54 (1988)
1042-1050.
[8] H. Sun, M. Faghri, Effect of surface roughness on nitrogen flow in a
icrochannel using the direct simulation Monte Carlo method, umer. Heat
Transfer Part A 43 (2003) 1-8.
[9] G.E. Karniadakis, A. Beskok, Micro Flows, Fundamental and imulation,
Springer, Berlin, 2002.
[10] E. Turner, H. Sun, M. Faghri, O.J. Gregory, Effect of surface roughness
on gaseous flow through micro channels, 2000 IMECE, TD 366 (2)
(2000) 291-298.
[11] W. Sugiyama, T. Sawada, K. Nakamori, Rarefied gas flow between two
flat plates with two dimensional surface roughness, Vacuum 47 1996)
791-794.
[12] Sugiyama, T. Sawada, M. Yabuki, Y. Chiba, Effects of surface
roughness on gas flow conductance in channels estimated by conical
roughness model, Appl. Surf. Sci. 169-170 (2001) 787-791.
[13] R. Valses, J. Miana, Luis Pelegay, Luis Nunez, Thomas Putz. Numerical
investigation of the influence of roughness on the laminar
incompressible fluid flow through annular microchannels, Int. J. Heat
Mass Transfer 50 (2007) 1865-1878.
[14] Yan Ji, Kun Yuan, J.N. Chung, Numerical simulation of wall roughness
on gaseous flow and heat transfer in a microchannel, Int. J. Heat Mass
Transfer 49 (2006) 1329-1339.
[15] Choi, Hyung-il, Lee, Dong-ho and Lee, Dohyung , (2005) 'Complex
Microscale Flow Simulations Using Langmuir Slip Condition',
Numerical Heat Transfer, Part A: Applications, 48:5, 407 - 425
[16] A. Beskok, G.E. Karniadakis, A model for flows in channels, pipes and
ducts at micro and nanoscales, Microscale Thermophys. Eng. 3 (1999)
43-77.
[17] Porodnov BT, Suetin PE, Borisov SF, Akinshin VD (1974) J Fluid Mech
64:417-437
[18] Arkilic EB, Schmidt MA, Breuer KS (1997) J Microelectromech Syst
6(2):167-178
[19] Maurer J, Tabeling P, Joseph P, Willaime H (2003) Phys Fluid 15:2613-
2621
[20] Colin S, Lalonde P, Caen R (2004) Heat Transfer Eng 25(3):23-30
[21] T. Ewart, P.Perrier, I.Graur, J.Gilbert, "Tangential momemtum
accommodation in microtube", Microfluid nanofluid, (2007) 3:689-695
[22] A. Beskok, G.E. Karniadakis, A model for flows in channels, pipes and
ducts at micro and nanoscales, Microscale Thermophys. Eng. 3 (1999)
43-77.
[1] Yan Ji, Kun Yuan, J.N. Chung, Numerical simulation of wall roughness
on gaseous flow and heat transfer in a microchannel, Int. J. Heat Mass
Transfer 49, 2006 1329-1339.
[2] S.G. Kandlikar, S. Joshi, S. Tian, Effect of channel roughness on heat
transfer and fluid flow characteristics at low Reynolds numbers in small
diameter tubes, in: Proceedings of NHTC_01 35th National Heat
Transfer Conference, Anaheim, CA, June 2001, pp. 1-10.
[3] G.M. Mala, D. Li, Flow characteristics of water in microtubes, Int. J.
Heat Mass Transfer 20 (1999) 142-148.
[4] P.Y. Wu, W.A. Little, Measurement of friction factor for the flow of
gases in very fine channels used for microminiature Joule-Thomson
refrigerator, Cryogenics 23 (1983) 273-277.
[5] P.Y. Wu, W.A. Little, Measurement of the heat transfer characteristics of
gas flow in fine channel heat exchangers used for microminiature
refrigerators, Cryogenics 24 (1984) 415-420.
[6] S. B. Choi, R. F. Barron, and R. O. Warrington, Fluid Flow and Heat
Transfer in Microtubes,
[7] M. Usami, T. Fujimoto, S. Kato, Mass-flow reduction of rarefied flow
roughness of a slit surface, Trans. Jpn. Soc. Mech. Eng., B 54 (1988)
1042-1050.
[8] H. Sun, M. Faghri, Effect of surface roughness on nitrogen flow in a
icrochannel using the direct simulation Monte Carlo method, umer. Heat
Transfer Part A 43 (2003) 1-8.
[9] G.E. Karniadakis, A. Beskok, Micro Flows, Fundamental and imulation,
Springer, Berlin, 2002.
[10] E. Turner, H. Sun, M. Faghri, O.J. Gregory, Effect of surface roughness
on gaseous flow through micro channels, 2000 IMECE, TD 366 (2)
(2000) 291-298.
[11] W. Sugiyama, T. Sawada, K. Nakamori, Rarefied gas flow between two
flat plates with two dimensional surface roughness, Vacuum 47 1996)
791-794.
[12] Sugiyama, T. Sawada, M. Yabuki, Y. Chiba, Effects of surface
roughness on gas flow conductance in channels estimated by conical
roughness model, Appl. Surf. Sci. 169-170 (2001) 787-791.
[13] R. Valses, J. Miana, Luis Pelegay, Luis Nunez, Thomas Putz. Numerical
investigation of the influence of roughness on the laminar
incompressible fluid flow through annular microchannels, Int. J. Heat
Mass Transfer 50 (2007) 1865-1878.
[14] Yan Ji, Kun Yuan, J.N. Chung, Numerical simulation of wall roughness
on gaseous flow and heat transfer in a microchannel, Int. J. Heat Mass
Transfer 49 (2006) 1329-1339.
[15] Choi, Hyung-il, Lee, Dong-ho and Lee, Dohyung , (2005) 'Complex
Microscale Flow Simulations Using Langmuir Slip Condition',
Numerical Heat Transfer, Part A: Applications, 48:5, 407 - 425
[16] A. Beskok, G.E. Karniadakis, A model for flows in channels, pipes and
ducts at micro and nanoscales, Microscale Thermophys. Eng. 3 (1999)
43-77.
[17] Porodnov BT, Suetin PE, Borisov SF, Akinshin VD (1974) J Fluid Mech
64:417-437
[18] Arkilic EB, Schmidt MA, Breuer KS (1997) J Microelectromech Syst
6(2):167-178
[19] Maurer J, Tabeling P, Joseph P, Willaime H (2003) Phys Fluid 15:2613-
2621
[20] Colin S, Lalonde P, Caen R (2004) Heat Transfer Eng 25(3):23-30
[21] T. Ewart, P.Perrier, I.Graur, J.Gilbert, "Tangential momemtum
accommodation in microtube", Microfluid nanofluid, (2007) 3:689-695
[22] A. Beskok, G.E. Karniadakis, A model for flows in channels, pipes and
ducts at micro and nanoscales, Microscale Thermophys. Eng. 3 (1999)
43-77.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:49800", author = "M. Hakak Khadem and S. Hossainpour and M. Shams", title = "Simulation of Roughness Shape and Distribution Effects on Rarefied and Compressible Flows at Slip Flow Regime", abstract = "A numerical simulation of micro Poiseuille flow has
performed for rarefied and compressible flow at slip flow regimes.
The wall roughness is simulated in two cases with triangular
microelements and random micro peaks distributed on wall surfaces
to study the effects of roughness shape and distribution on flow field.
Two values of Mach and Knudsen numbers have used to investigate
the effects of rarefaction as well as compressibility. The numerical
results have also checked with available theoretical and experimental
relations and good agreements has achieved. High influence of
roughness shape can be seen for both compressible and
incompressible rarefied flows. In addition it is found that rarefaction
has more significant effect on flow field in microchannels with
higher relative roughness. It is also found that compressibility has
more significant effects on Poiseuille number when relative
roughness increases.", keywords = "Relative roughness, slip flow, Poiseuille number,
roughness distribution.", volume = "2", number = "5", pages = "585-6", }
