A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section

Hooman, K. (2008) A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section. International Journal of Heat and Mass Transfer, 51 15-16: 3753-3762.

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Author Hooman, K.
Title A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section
Journal name International Journal of Heat and Mass Transfer  (ERA 2012 Listed)    (ERA 2010 Rank A)   Check publisher's open access policy
Publication date 2008-07-15
Sub-type Article
DOI 10.1016/j.ijheatmasstransfer.2007.12.014
Volume number 51
Issue number 15-16
ISSN 0017-9310
Start page 3753
End page 3762
Total pages 10
Editor W. J. Minkowycz
Place of publication Oxford, U.K.
Publisher Pergamon Press
Collection year 2009
Language eng
Subject 290000 Engineering and Technology
290603 Membrane and Separation Technologies
C1
0913 Mechanical Engineering
970102 Expanding Knowledge in the Physical Sciences
Abstract This work presents a superposition approach to investigate forced convection in microducts of arbitrary cross-section, subject to H1 and H2 boundary condition, in the slip-flow regime with further complication of a temperature jump condition assumption. It is shown that applying an average slip velocity and temperature jump definition, one can still use the no-slip/no-jump results with some minor modifications. Present results for slip flow in microchannels of parallel plate, circular, and rectangular cross-sections are found to be in complete agreement with those in the literature. Application of this methodology to microchannels of triangular cross-section is also verified by comparing the present results with those obtained numerically by undertaking the commercially available software CFD-ACE.
Keyword Microscale
MEMS
Velocity slip
Temperature jump
superposition
References [1] Merrikh AA, Lage JL. The role of red cell movement on alveolar gas diffusion. Materialwissenschaft Und Werkstofftechnik 2005;36(10):497-504. [2] Kandlikar SG, Grande WJ. Evolution of Microchannel Flow Passages—Thermohydraulic Performance and Fabrication Technology, Heat Transfer Engineering, 24(1):3–17, 2003 Evolution of Microchannel Flow Passages—Thermohydraulic Performance and Fabrication Technology. Heat Transf Eng 2003; 24 (1):3-17. [3] Morini GL. Scaling effects for liquid flows in microchannels. Heat Transf Eng 2006;27(4):64-73. [4] Tunc G, Bayazitoglu Y. Heat transfer in rectangular microchannels. Int J Heat Mass Transf 2002;45(4):765-73. [5] Sparrow EM, Hajisheikh A. Velocity Profile and Other Local Quantities in Free-Molecule Tube Flow. Phys Fluids 1964;7(8):1256-61. [6] Morini GL, Spiga M, Tartarini P. The rarefaction effect on the friction factor of gas flow in microchannels. Superlattices Microstruct 2004;35(3-6):587-99. [7] Renksizbulut M, Niazmand H, Tercan G. Slip-flow and heat transfer in rectangular microchannels with constant wall temperature. Int J Therm Sci 2006;45(9):870-81. [8] Rostami AA, Mujumdar AS, Saniei N. Flow and heat transfer for gas flowing in microchannels: a review. Heat Mass Transf 2002;38(4-5):359-67. [9] Gad-El-Hak M. Gas and liquid transport at the microscale. Heat Transf Eng 2006;27(4):13-29. [10] Gad-el-Hak M. Liquids: The holy grail of microfluidic modeling. Phys Fluids 2005;17(10). [11] Shah RK, London AL. Laminar flow forced convection in ducts : a source book for compact heat exchanger analytical data New York: Academic Press, 1978. [12] Morini GL. Single-phase convective heat transfer in microchannels: a review of experimental results. Int J Therm Sci 2004;43(7):631-51. [13] Haji-Sheikh A. Private communication. 2007. [14] Jeong HE, Jeong JT. Extended Graetz problem including streamwise conduction and viscous dissipation in microchannel. Int J Heat Mass Transf 2006;49(13-14):2151-57. [15] Hooman K. Entropy generation for microscale forced convection: Effects of different thermal boundary conditions, velocity slip, temperature jump, viscous dissipation, and duct geometry. International Communications in Heat and Mass Transfer 2007;34(8):945-57. [16] Hadjiconstantinou NG. Dissipation in small scale gaseous flows. J Heat Transf-Trans ASME 2003;125(5):944-47. [17] Jeong HE, Jeong JT. Extended Graetz problem including axial conduction and viscous dissipation in microtube. J Mech Sci Technol 2006;20(1):158-66. [18] Haji-Sheikh A. Fully developed heat transfer to fluid flow in rectangular passages filled with porous materials. J Heat Transf-Trans ASME 2006;128(6):550-56. [19] Hooman K, Merrikh AA. Analytical solution of forced convection in a duct of rectangular cross section saturated by a porous medium. J Heat Transf-Trans ASME 2006;128(6):596-600. [20] Hadjiconstantinou NG, Simek O. Constant-wall-temperature Nusselt number in micro and nano-channels. J Heat Transf-Trans ASME 2002;124(2):356-64. [21] Duan ZP, Muzychka YS. Slip flow in non-circular microchannels. Microfluid Nanofluid 2007;3(4):473-84. [22] Beck Jv, Cole K, Haji-Sheikh A, Litkouhi B. Heat Conduction Using Green's Functions, Washington D. C.: Hemisphere Publ. Corp., , 1992. [23] Kuddusi L. Prediction of temperature distribution and Nusselt number in rectangular microchannels at wall slip condition for all versions of constant wall temperature. Int J Therm Sci 2007;in press. [24] Hooman K, Gurgenci H, Merrikh AA. Heat transfer and entropy generation optimization of forced convection in a porous-saturated duct of rectangular cross-section. Int J Heat Mass Transf 2007;50:2051-59. [25] Hooman K, Haji-Sheikh A. Analysis of heat transfer and entropy generation for a thermally developing Brinkman–Brinkman forced convection problem in a rectangular duct with isoflux walls. Int J Heat Mass Transf 2007;50(21-22):4180-94. [26] Haji-Sheikh A, Nield DA, Hooman K. Heat transfer in the thermal entrance region for flow through rectangular porous passages. Int J Heat Mass Transf 2006;49(17-18):3004-15. [27] Yu SP, Ameel TA. Slip-flow heat transfer in rectangular microchannels. Int J Heat Mass Transf 2001;44(22):4225-34. [28] Zhu X, Liao Q. Heat transfer for laminar slip flow in a microchannel of arbitrary cross section with complex thermal boundary conditions. Appl Therm Eng 2006;26(11-12):1246-56. [29] Zhu X, Liao Q, Xin MD. Gas flow in microchannel of arbitrary shape in slip flow regime. Nanoscale Microscale Thermophys Eng 2006;10(1):41-54. [30] Bahrami M, Yovanovich MM, Culham JR. Pressure drop of fully-developed laminar flow in microchannels of arbitrary cross-section. J Fluids Eng-Trans ASME 2006;128(5):1036-44. [31] Tyagi VP. Forced Convective Heat-Transfer Including Dissipation Function and Compression Work for a Class of Noncircular Ducts. Int J Heat Mass Transf 1972;15(1):164-&. [32] Famouri M, Hooman K. Entropy generation for natural convection by heated partitions in a cavity. International Communications in Heat and Mass Transfer 2008;in press. [33] Chen CH. Slip-flow heat transfer in a microchannel with viscous dissipation. Heat Mass Transf 2006;42(9):853-60. [34] Hooman K. Heat transfer and entropy generation for forced convection through a microduct of rectangular cross-section: effects of velocity slip, temperature jump, and duct geometry. Int. Comm. Heat Mass Transfer 2007; in press. [35] Yu SP, Ameel TA. Slip flow convection in isoflux rectangular microchannels. J Heat Transf-Trans ASME 2002;124(2):346-55.
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