Numerical modeling of pressure-driven nitrogen slip flow in long rectangular microchannels

Numerical Heat Transfer; Part A: Applications

Volumn 56, Issue 7, 2009, Pages 541-562

  Sun, Zhanyu ^a   Jaluria, Yogesh ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL DOMAINS; COMPUTATIONAL EFFORT; CURRENT MODELS; ENERGY EQUATION; HYBRID APPROACH; NUMERICAL MODELING; PARALLEL SOLVER; PRESSURE-DRIVEN; RECTANGULAR MICROCHANNELS; SLIP FLOW; SOURCE TERMS; STEADY STATE SOLUTION; UNIFORM WALL HEAT FLUX; VARIABLE PROPERTY;

COMPUTATIONAL EFFICIENCY; FLOW SIMULATION; MICROCHANNELS; SIMULATORS;

PARALLEL ALGORITHMS;

EID: 70449103207     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407780903265986     Document Type: Article

References (37)

1. D. B. Tuckermann and R. F. Pease, Optimized Convective Cooling Using Micromachined Structure, J. Electrochem. Soc., vol.129, pp. C98, 1982.
2. M. Gad-el-Hak, The Fluid Mechanics of Microdevices-the Freeman Scholar Lecture, J. Fluids Eng., vol.121, pp. 5-33, 1999.
3. S. B. Choi, R. F. Barron, and R. O. Warrington, Fluid Flow and Heat Transfer in Microtubes, Micromechanical Sensors, Actuators, and Sys., ASME, DSC-vol. 32, pp. 149-157, 1991.
4. J. Pfahler, J. Harley, H. Bau, and J. N. Zemel, Gas and Liquid Flow in Small Channels, Micromechanical Sensors, Actuators, and Sys., ASME, DSC-vol. 32, pp. 49-60, 1991.
5. K.-C. Pong, C.-M. Ho, J. Liu, and Y.-C. Tai, Nonlinear Pressure Distribution in Uniform Microchannels, Application of Microfabrication to Fluid Mechanics, ASME, FEDvol. 196, pp. 51-56, 1994.
6. J. C. Harley, Y. H. Huang, H. Bau, and J. N. Zemel, Gas Flow in Microchannels, J. Fluid Mech., vol.284, pp. 257-274, 1995.
7. D. Yu, R. Warrington, R. Barron, and T. Ameel, An Experimental and Theoretical Investigation of Fluid Flow and Heat Transfer in Microtubes, ASME=JSME Therm. Eng. Conf., vol.1, pp. 523-530, 1995.
8. E. M. Sparrow and S. H. Lin, Laminar Heat Transfer in Tubes Under Slip-flow Conditions, J. Heat Transfer, vol.84, pp. 363-369, 1962.
9. E. B. Arkilic, K. S. Breuer, and M. A. Schmidt, Gaseous Slip Flow in Long Microchannels, J. Microelectromechanical Sys., vol.6, pp. 167-178, 1997.
10. J.-M. Li, B.-X. Wang, and X.-F. Peng, Wall-adjacent Layer Analysis for Developed-Flow Laminar Heat Transfer of Gases in Microchannels, Int. J. Heat Mass Transfer, vol.43, pp. 839-847, 2000.
11. S. Yu and T. A. Ameel, Slip-Flow Heat Transfer in Rectangular Microchannels, Int. J. Heat Mass Transfer, vol.44, pp. 4225-4234, 2001.
12. Also in ASME J. Heat Transfer, vol.124, pp. 346-355, 2001.
13. J. van Rij, T. A. Ameel, and T. Harman, The Effect of Viscous Dissipation and Rarefaction on Rectangular Microchannel Convective Heat Transfer, Int. J. Ther. Sci., vol.48, pp. 271-281, 2009.
14. G. Tunc and Y. Bayazitoglu, Heat Transfer in Rectangular Microchannels, Int. J. Heat Mass Transfer, vol.45, pp. 765-773, 2002.
15. C. Chen, Slip-flow Heat Transfer in a Microchannel with Viscous Dissipation, Heat Mass Transfer, vol.42, pp. 853-860, 2006.
16. H. Jeong and J. Jeong, Extended Graetz Problem Including Streamwise Conduction and Viscous Dissipation in Microchannel, Int. J. Heat Mass Transfer, vol.49, pp. 2151-2157, 2006.
17. A. Beskok, G. E. Karniadakis, and W. Trimmer, Rarefaction and Compressibility Effects in Gas Microflows, J. Fluids Eng., vol.118, pp. 448-456, 1996.
18. Z. Y. Guo and X. B. Wu, Compressibility Effect on the Gas Flow and Heat Transfer in a Microtube, Int. J. Heat Mass Transfer, vol.40, pp. 3251-3254, 1997.
19. C. S. Chen, S. M. Lee, and J. D. Sheu, Numerical Analysis of Gas Flow in Microchannels, Numer. Heat Transfer A, vol.33, pp. 749-762, 1998.
20. S. Roy, R. Raju, H. F. Chuang, B. A. Cruden, and M. Meyyappan, Modeling Gas Flow Through Microchannels and Nanopores, J. Appl. Phys., vol.93, pp. 4870-4879, 2003.
21. R. Raju and S. Roy, Hydrodynamic Study of High-Speed Flow and Heat Transfer through a Microchannel, J. Thermophys. Heat Transfer, vol.19, pp. 106-113, 2005.
22. E. B. Arkilic, K. S. Breuer, and M. A. Schmidt, Gaseous Flow in Microchannels, App. Microfabrication to Fluid Mech., ASME, FED-vol. 197, pp. 57-66, 1994.
23. D. I. Fotiadis, M. Boekholt, K. F. Jensen, and W. Richter, Flow and Heat Transfer in CVD Reactors: Comparison of Raman Temperature Measurements and Finite Element Model Predictions, J. Cryst. Growth, vol.100, pp. 577-599, 1990.
24. S. Thakur and W. Shyy, Some Implementational Issues of Convection Schemes for Finite-Volume Formulations, Numer. Heat Transfer B, vol.24, pp. 31-55, 1993.
25. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, pp. 79-119, Hemisphere, Washington, DC, 1980.
26. N. D. Batlas and D. B. Spalding, MIMD PHOENICS: Porting a Computational Fluid Dynamics Application to a Distributed Memory MIMD Computer, Massively Parallel Processing Applications and Development, International Conference on Massively Parallel Processing, pp. 715-725, 1994.
27. Q. Wang, Instability and Heat Transfer in Mixed Convection Flow in a Horizontal Duct with Application to Cooling of Electronic Systems, PhD thesis, Rutgers University, New Brunswick, New Jersey, 2002.
28. J.-T. Liu, X.-F. Peng, and W.-M. Yan, Numerical Study of Fluid Flow and Heat Transfer in Microchannel Cooling Passages, Int. J. Heat Mass Transfer, vol.50, pp. 1855-1864, 2007.
29. S. P. Mahulikar and H. Herwig, Physical Effects in Laminar Microconvection due to Variations in Incompressible Fluid Properties, Phys. Fluids, vol.18, pp. 073601, 2006.
30. C. P. Tso and S. P. Mahulikar, The Use of the Brinkman number for Single Phase Forced Convection Heat Transfer in Microchannels, Int. J. Heat Mass Transfer, vol.41, pp. 1759-1769, 1998.
31. C. P. Tso and S. P. Mahulikar, The Role of the Brinkman Number in Analysing Flow Transitions in Microchannels, Int. J. Heat Mass Transfer, vol.42, pp. 1813-1833, 1999.
32. C. P. Tso and S. P. Mahulikar, Experimental Verification of the Role of the Brinkman Number in Microchannels using Local Parameters, Int. J. Heat Mass Transfer, vol.43, pp. 1837-1849, 2000.
33. B. X. Wang and X. F. Peng, Experimental Investigation on Liquid Forced-Convection Heat Transfer Through Microchannels, Int. J. Heat Mass Transfer, vol.37, pp. 73-82, 1994.
34. X. F. Peng and G. P. Peterson, The Effect of Thermofluid and Geometrical Parameters on Convection of Liquids through Rectangular Microchannels, Int. J. Heat Mass Transfer, vol.38, pp. 755-758, 1995.
35. X. F. Peng and G. P. Peterson, Convective Heat Transfer and Flow Friction for Water Flow in Microchannel Structures, Int. J. Heat Mass Transfer, vol.39, pp. 2599-2608, 1996.
36. Z.-Y. Guo and Z.-X. Li, Size Effect on Microscale Single-Phase Flow and Heat Transfer, Int. J. Heat Mass Transfer, vol.46, pp. 149-159, 2003.
37. G. Karniadakis, A. Beskok, and N. Aluru, Mircoflows and Nanoflows: Fundamentals and Simulation, pp. 30-31, Springer, New York, 2005.