Semi-Analytic Solution and Hydrodynamics Behavior of Fluid Flow in Micro-Converging plates
The hydrodynamics behavior of fluid flow in microconverging
plates is investigated analytically. Effects of Knudsen number () on the microchannel hydrodynamics behavior and the
coefficient of friction are investigated. It is found that as increases the slip in the hydrodynamic boundary condition increases.
Also, the coefficient of friction decreases as increases.
[1] Gad-el-Hak, Mohamed, MEMs Introduction and Fundamentals, 2ed ed.
Taylor and Frances Group,LLC, 2006, ch. 4.
[2] G. Karniadakis, M. Beskok, Micro flows fundamentals and simulation.
New York: Springer 2002.
[3] Y. Zohar, Heat convection in micro ducts. Kluwer 2003.
[4] Y. Zohar, W. Lee, S. Lee, L. Jiang, and P. Tong, "Subsonic gas flow in a
straight and uniform microchannel,"J. Fluid Mech. 472, pp. 125-151,
2002.
[5] C. Ho, Y. Tai, Micro-electro-mechanical systems (MEMS) and fluid
flows. Ann. Rev. Fluid Mech. 30, 579612, 1998.
[6] M. A. Al-Nimr, and A. F. Khadrawi, Thermal behavior of a stagnant
gas convicted in a horizontal microchannel as described by the dualphase-lag heat conduction model, Int. J. Thermophysics, Vol. 25, pp.
1953, 2004.
[7] A. F. Khadrawi, A. Othman and M. A. Al-Nimr, Transient free convection fluid flow in a vertical microchannel as described by the
hyperbolic heat conduction model, Int. J. Thermophysics, Vol. 26, pp.905, 2005.
[8] O. M. Haddad, M. M. Abuzaid and M. A. Al-Nimr, Entropy generation
due to laminar incompressible forced convection flow through parallelplates
microchannel, Entropy, Vol. 6(5), pp. 413-426, 2004.
[9] O. M. Haddad, M. A. Al-Nimr, and M. M. Abuzaid, The effect of frequency of fluctuating driving force on basic slip micro-flows, Acta
Mechanica , Vol. 179, pp. 249-259, 2005.
[10] O. M. Haddad, M. M. Abuzaid, and M. A. Al-Nimr, Developing free
convection gas flow in a vertical open-ended micro-channel filled with
porous media, Numerical Heat Transfer, Part A, Vol. 48 (2005).
[11] O. M., Haddad, M. A. Al-Nimr, and Y. Taamneh, Hydrodynamic and
thermal behavior of gas flow in micro channels filled with porous media,
J. Porous Media, Vol. 9(5), pp. 403-414, 2006.
[12] O. M., Haddad, M. A. Al-Nimr, and M. M. Abuzaid, Effect of
periodically oscillating driving force on basic microflows in porous media, Journal Porous Media, Vol. 9(7), pp. 695-707, 2006.
[13] O.M. Haddad, M. A. Al-Nimr, and J. Sh. Al-Omary, Forced convection
of gaseous slip-flow in porous micro-channels under local thermal nonequilibrium
conditions, Transport in Porous Media, Vol. 67(3), pp. 453-471, 2007.
[14] O.M. Haddad, M. A. Al-Nimr, and M. Sari, Forced convection gaseous
slip flow in circular porous micro-channels, Transport in Porous Media,
Vol. 70(2), pp. 167-179 , 2007.
[15] J. Al-Jarrah, A. F. Khadrawi, and M. A. Al-Nimr, Film condensation on
a vertical micro-channel, Int. Communication in Heat and Mass Transfer, Vol. 35(9), pp. 1172-1176, 2008.
[16] P. Wu, W. A. Little, Measurement of friction factors for the flow of
gases in very fine channels used for microminiature Joule Thompson
refrigerators. Cryogenics 23, 273277, 1983.
[17] S. B. Choi, R. F. Barron, R. O. Warrington, Fluid flow and heat transfer
in microtubes. Micromech. Sensors Actuators Sys. 32, 123134 1991.
[18] J. C. Harley, Y. Huang, H. Bau, J. N. Zemel, Gas flows in microchannels.
J. Fluid Mech. 284, 257274, 1995.
[19] S. F. Choquette, M. Faghri, E. J. Kenyon, B. Sunden, Compressible fluid
flow in micron-sized channels. Nat. Heat Transfer Conf. 5, 2532 1996.
[20] Z. Y. Guo, X. B. Wu, Compressibility effects on the gas flow and heat
transfer in a microtube. Int. J. Heat Mass Transf. 40, 32513254 ,1997.
[21] S. Kiwan, and M. A. Al-Nimr, "Flow and Heat Transfer over a Stretched
Micro-Surface", ASME J Heat Transfer, Vol. 131(6), 2009.
[22] M. A., Al-Nimr, A. M., Maqapleh, A. F. Khadrawi, and Ammourah S.
A.: "Fully developed thermal behaviors for parallel flow microchannel
heat exchanger", International Communications in Heat and Mass Transfer Vol. 36, pp 385-390, 2009.
[23] K. Bataineh, and M. A. Al-Nimr, 2-D "Navier-Stokes Simulations of
Microscale Viscous Pump with Slip Flow", ASME Journal of Fluids Engineering, Vol. 131, Issue 5, 2009.
[24] G. P. Duncan, G. P. Peterson, Review of microscale heat transfer. Appl. Mech. Rev. 47(9), 397428, 1994.
[25] Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, "Electron spectroscopy
studies on magneto-optical media and plastic substrate
interfaces(Translation Journals style)," IEEE Transl. J. Magn.Jpn., vol.
2, Aug. 1987, pp. 740-741 [Dig. 9thAnnu. Conf. MagneticsJapan, p.
301,1982.
[1] Gad-el-Hak, Mohamed, MEMs Introduction and Fundamentals, 2ed ed.
Taylor and Frances Group,LLC, 2006, ch. 4.
[2] G. Karniadakis, M. Beskok, Micro flows fundamentals and simulation.
New York: Springer 2002.
[3] Y. Zohar, Heat convection in micro ducts. Kluwer 2003.
[4] Y. Zohar, W. Lee, S. Lee, L. Jiang, and P. Tong, "Subsonic gas flow in a
straight and uniform microchannel,"J. Fluid Mech. 472, pp. 125-151,
2002.
[5] C. Ho, Y. Tai, Micro-electro-mechanical systems (MEMS) and fluid
flows. Ann. Rev. Fluid Mech. 30, 579612, 1998.
[6] M. A. Al-Nimr, and A. F. Khadrawi, Thermal behavior of a stagnant
gas convicted in a horizontal microchannel as described by the dualphase-lag heat conduction model, Int. J. Thermophysics, Vol. 25, pp.
1953, 2004.
[7] A. F. Khadrawi, A. Othman and M. A. Al-Nimr, Transient free convection fluid flow in a vertical microchannel as described by the
hyperbolic heat conduction model, Int. J. Thermophysics, Vol. 26, pp.905, 2005.
[8] O. M. Haddad, M. M. Abuzaid and M. A. Al-Nimr, Entropy generation
due to laminar incompressible forced convection flow through parallelplates
microchannel, Entropy, Vol. 6(5), pp. 413-426, 2004.
[9] O. M. Haddad, M. A. Al-Nimr, and M. M. Abuzaid, The effect of frequency of fluctuating driving force on basic slip micro-flows, Acta
Mechanica , Vol. 179, pp. 249-259, 2005.
[10] O. M. Haddad, M. M. Abuzaid, and M. A. Al-Nimr, Developing free
convection gas flow in a vertical open-ended micro-channel filled with
porous media, Numerical Heat Transfer, Part A, Vol. 48 (2005).
[11] O. M., Haddad, M. A. Al-Nimr, and Y. Taamneh, Hydrodynamic and
thermal behavior of gas flow in micro channels filled with porous media,
J. Porous Media, Vol. 9(5), pp. 403-414, 2006.
[12] O. M., Haddad, M. A. Al-Nimr, and M. M. Abuzaid, Effect of
periodically oscillating driving force on basic microflows in porous media, Journal Porous Media, Vol. 9(7), pp. 695-707, 2006.
[13] O.M. Haddad, M. A. Al-Nimr, and J. Sh. Al-Omary, Forced convection
of gaseous slip-flow in porous micro-channels under local thermal nonequilibrium
conditions, Transport in Porous Media, Vol. 67(3), pp. 453-471, 2007.
[14] O.M. Haddad, M. A. Al-Nimr, and M. Sari, Forced convection gaseous
slip flow in circular porous micro-channels, Transport in Porous Media,
Vol. 70(2), pp. 167-179 , 2007.
[15] J. Al-Jarrah, A. F. Khadrawi, and M. A. Al-Nimr, Film condensation on
a vertical micro-channel, Int. Communication in Heat and Mass Transfer, Vol. 35(9), pp. 1172-1176, 2008.
[16] P. Wu, W. A. Little, Measurement of friction factors for the flow of
gases in very fine channels used for microminiature Joule Thompson
refrigerators. Cryogenics 23, 273277, 1983.
[17] S. B. Choi, R. F. Barron, R. O. Warrington, Fluid flow and heat transfer
in microtubes. Micromech. Sensors Actuators Sys. 32, 123134 1991.
[18] J. C. Harley, Y. Huang, H. Bau, J. N. Zemel, Gas flows in microchannels.
J. Fluid Mech. 284, 257274, 1995.
[19] S. F. Choquette, M. Faghri, E. J. Kenyon, B. Sunden, Compressible fluid
flow in micron-sized channels. Nat. Heat Transfer Conf. 5, 2532 1996.
[20] Z. Y. Guo, X. B. Wu, Compressibility effects on the gas flow and heat
transfer in a microtube. Int. J. Heat Mass Transf. 40, 32513254 ,1997.
[21] S. Kiwan, and M. A. Al-Nimr, "Flow and Heat Transfer over a Stretched
Micro-Surface", ASME J Heat Transfer, Vol. 131(6), 2009.
[22] M. A., Al-Nimr, A. M., Maqapleh, A. F. Khadrawi, and Ammourah S.
A.: "Fully developed thermal behaviors for parallel flow microchannel
heat exchanger", International Communications in Heat and Mass Transfer Vol. 36, pp 385-390, 2009.
[23] K. Bataineh, and M. A. Al-Nimr, 2-D "Navier-Stokes Simulations of
Microscale Viscous Pump with Slip Flow", ASME Journal of Fluids Engineering, Vol. 131, Issue 5, 2009.
[24] G. P. Duncan, G. P. Peterson, Review of microscale heat transfer. Appl. Mech. Rev. 47(9), 397428, 1994.
[25] Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, "Electron spectroscopy
studies on magneto-optical media and plastic substrate
interfaces(Translation Journals style)," IEEE Transl. J. Magn.Jpn., vol.
2, Aug. 1987, pp. 740-741 [Dig. 9thAnnu. Conf. MagneticsJapan, p.
301,1982.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:60414", author = "A. Al-Shyyab and A. F. Khadrawi", title = "Semi-Analytic Solution and Hydrodynamics Behavior of Fluid Flow in Micro-Converging plates", abstract = "The hydrodynamics behavior of fluid flow in microconverging
plates is investigated analytically. Effects of Knudsen number () on the microchannel hydrodynamics behavior and the
coefficient of friction are investigated. It is found that as increases the slip in the hydrodynamic boundary condition increases.
Also, the coefficient of friction decreases as increases.", keywords = "Converging plates, hydrodynamic behavior, microplates, microchannel, slip velocity", volume = "5", number = "12", pages = "2666-4", }
