Slip flow in the hydrodynamic entrance region of circular and noncircular microchannels

Journal of Fluids Engineering, Transactions of the ASME

Volumn 132, Issue 1, 2010, Pages 0112011-01120113

  Duan, Zhipeng ^a   Muzychka, Y S ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

Author keywords

Entrance; Friction; Microchannels; Noncircular; Slip flow

Indexed keywords

ACCOMMODATION COEFFICIENTS; CHANNEL SHAPE; CHARACTERISTIC LENGTH; COMPLETE PROBLEMS; CONTINUUM FLOW; CROSS SECTIONAL AREA; CROSSSECTIONAL GEOMETRY; DUCT SHAPE; DUCT WALLS; ENTRANCE; FRICTION FACTORS; HYDRODYNAMIC ENTRANCE REGION; HYDRODYNAMIC FLOWS; LINEARIZATION METHODS; MEAN FREE PATH; MICRO-SCALES; MICROELECTROMECHANICAL SYSTEMS; MOMENTUM EQUATION; NON-CIRCULAR; NONCIRCULAR CROSS SECTION; PARALLEL PLATES; REYNOLDS; SLIP FLOW; SQUARE ROOTS; TANGENTIAL MOMENTUM; VELOCITY SLIPS;

ASYMPTOTIC ANALYSIS; DUCTS; FLUID DYNAMICS; FRICTION; HYDRODYNAMICS; LINEARIZATION; MICROCHANNELS; TRIBOLOGY; VEHICULAR TUNNELS;

PARALLEL FLOW;

EID: 77953335643     PISSN: 00982202     EISSN: 1528901X     Source Type: Journal    
DOI: 10.1115/1.4000692     Document Type: Article

References (45)

1. Ged-el-Hak, M., 2001, MEMS Handbook, CRC, Boca Raton, FL.
2. Karniadakis, G. E., Beskok, A., and Aluru, N., 2005, Microflows and Nanoflows, Springer, New York.
3. Nguyen, N. T., and Wereley, S. T., 2003, Fundamentals and Applications of Microfluidics, Artech House, London.
4. Eckert, E. G. R., and Drake, R. M., 1972, Analysis of Heat and Mass Transfer, McGraw-Hill, New York.
5. Rohsenow, W. M., and Choi, H. Y., 1961, Heat, Mass, and Momentum Transfer, Prentice-Hall, New Jersey.
6. Arkilic, E. B., Breuer, K. S., and Schmidt, M. A., 1994, "Gaseous Flow in Microchannels," Application of Microfabrication to Fluid Mechanics, Vol.FED-197, ASME, New York, pp. 57-66.
7. Arkilic, E. B., Breuer, K. S., and Schmidt, M. A., 1997, "Gaseous Slip Flow in Long Microchannels," J. Microelectromech. Syst., 6(2), pp. 167-178.
8. Pong, K., Ho, C., Liu, J., and Tai, Y., 1994, "Nonlinear Pressure Distribution in Uniform Microchannels," Application of Microfabrication to Fluid Mechanics, Vol.FED-197, ASME, New York, pp. 51-56.
9. Liu, J., Tai, Y. C., and Ho, C. M., 1995, "MEMS for Pressure Distribution Studies of Gaseous Flows in Microchannels," Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems, Amsterdam, The Netherlands, pp. 209-215.
10. Araki, T., Kim, M. S., Hiroshi, I., and Suzuki, K., 2000, "An Experimental Investigation of Gaseous Flow Characteristics in Microchannels," Proceedings of the International Conference on Heat Transfer and Transport Phenomena in Microscale, G. P. Celata, ed., Begell House, New York, pp. 155-161.
11. Pfahler, J., Harley, J., Bau, H., and Zemel, J. N., 1990, "Gas and Liquid Transport in Small Channels," Micromechanical Sensors, Actuators, and Systems, Vol.DSC-19, ASME, New York, pp. 149-157.
12. Pfahler, J., Harley, J., Bau, H., and Zemel, J. N., 1991, "Gas and Liquid Flow in Small Channels," Micromechanical Sensors, Actuators, and Systems, Vol.DSC-32, ASME, New York, pp. 49-58.
13. Harley, J., Huang, Y., Bau, H., and Zemel, J. N., 1995, "Gas Flows in Micro-Channels," J. Fluid Mech., 284, pp. 257-274.
14. Choi, S. B., Barron, R. F., and Warrington, R. O., 1991, "Fluid Flow and Heat Transfer in Microtubes," Micromechanical Sensors, Actuators, and Systems, Vol.DSC-32, ASME, New York, pp. 123-134.
15. Wu, S., Mai, J., Zohar, Y., Tai, Y. C., and Ho, C. M., 1998, "A Suspended Microchannel With Integrated Temperature Sensors for High Pressure Flow Studies," Proceedings of the IEEE Workshop on Micro Electro Mechanical Systems, Heidelberg, Germany, pp. 87-92.
16. Schaaf, S. A., and Chambre, P. L., 1961, Flow of Rarefied Gases, Princeton University Press, New Jersey.
17. Maurer, J., Tabeling, P., Joseph, P., and Willaime, H., 2003, "Second-Order Slip Laws in Microchannels for Helium and Nitrogen," Phys. Fluids, 15, pp. 2613-2621.
18. Aubert, C., and Colin, S., 2001, "High-Order Boundary Conditions for Gaseous Flows in Rectangular Microducts," Microscale Thermophys. Eng., 5, pp. 41-54.
19. Deissler, R. G., 1964, "An Analysis of Second-Order Slip Flow and Temperature-Jump Boundary Conditions for Rarefied Gases," Int. J. Heat Mass Transfer, 7, pp. 681-694.
20. Colin, S., Lalonde, P., and Caen, R., 2004, "Validation of a Second-Order Slip Flow Model in Rectangular Microchannels," Heat Transfer Eng., 25, pp. 23-30.
21. Barber, R. W., and Emerson, D. R., 2006, "Challenges in Modeling Gas-Phase Flow in Microchannels: From Slip to Transition," Heat Transfer Eng., 27, pp. 3-12.
22. Jeong, N., Lin, C. L., and Choi, D. H., 2006, "Lattice Boltzmann Study of Three-Dimensional Gas Microchannel Flows," J. Micromech. Microeng., 16, pp. 1749-1759.
23. Barber, R. W., and Emerson, D. R., 2001, "A Numerical Investigation of Low Reynolds Number Gaseous Slip Flow at the Entrance of Circular and Parallel Plate Microchannels," ECCOMAS Computational Fluid Dynamics Conference, Swansea, Wales, UK.
24. Shah, R. K., and London, A. L., 1978, Laminar Flow Forced Convection in Ducts, Academic, New York.
25. Sparrow, E. M., Lundgren, T. S., and Lin, S. H., 1962, "Slip Flow in the Entrance Region of a Parallel Plate Channel," Proceedings of the Heat Transfer and Fluid Mechanics Institute, Stanford University Press, Stanford, pp. 223-238.
26. Sparrow, E. M., Lin, S. H., and Lundgren, T. S., 1964, "Flow Development in the Hydrodynamic Entrance Region of Tubes and Ducts," Phys. Fluids, 7, pp. 338-347.
27. Kennard, E. H., 1938, Kinetic Theory of Gases, McGraw-Hill, New York.
28. Atkinson, B., Brocklebank, M. P., Card, C. C. H., and Smith, J. M., 1969, "Low Reynolds Number Developing Flows," AIChE J., 15, pp. 548-553.
29. Chen, R. Y., 1973, "Flow in the Entrance Region at Low Reynolds Numbers," ASME J. Fluids Eng., 95, pp. 153-158.
30. Friedmann, M., Gillis, J., and Liron, N., 1968, "Laminar Flow in a Pipe at Low and Moderate Reynolds Numbers," Appl. Sci. Res., 19, pp. 426-438.
31. Sreekanth, A., 1969, "Slip Flow Through Long Circular Tubes," Proceedings of the Sixth International Symposium on Rarefied Gas Dynamics, L. Trilling and H. Y. Wachman, eds., Academic, New York, pp. 667-680.
32. Shapiro, A. H., Siegel, R., and Kline, S. J., 1954, "Friction Factor in the Laminar Entry Region of a Smooth Tube," Proceedings of the US Second National Congress of Applied Mechanics, New York, pp. 733-741.
33. Muzychka, Y. S., and Yovanovich, M. M., 2002, "Laminar Flow Friction and Heat Transfer in Non-circular Ducts and Channels: Part I-Hydrodynamic Problem," Compact Heat Exchangers, A Festschrift on the 60th Birthday of Ramesh K. Shah, Grenoble, France, pp. 123-130.
34. Yu, S. P., and Ameel, T. A., 2001, "A Universal Entrance Nusselt Number for Internal Slip Flow," Int. Commun. Heat Mass Transf., 28(7), pp. 905-910.
35. Renksizbulut, M., Niazmand, H., and Tercan, G., 2006, "Slip-Flow and Heat Transfer in Rectangular Microchannels With Constant Wall Temperature," Int. J. Therm. Sci., 45, pp. 870-881.
36. Duan, Z. P., and Muzychka, Y. S., 2007, "Slip Flow in Non-circular Microchannels," Microfluid. Nanofluid., 3, pp. 473-484.
37. Duan, Z. P., and Yovanovich, M. M., 2009, "Pressure Drop for Laminar Flow in Microchannels of Arbitrary Cross-Sections," Semi-Therm 25 Semiconductor Thermal Measurement and Management Symposium, San Jose, CA.
38. Churchill, S. W., and Usagi, R., 1972, "A General Expression for the Correlation of Rates of Transfer and Other Phenomena," AIChE J., 18, pp. 1121-1128.
39. Hornbeck, R. W., 1964, "Laminar Flow in the Entrance Region of a Pipe," Appl. Sci. Res., Sect. A, 13, pp. 224-232.
40. Liu, J., 1974, "Flow of a Bingham Fluid in the Entrance Region of an Annular Tube," MS thesis, University of Wisconsin, Madison.
41. Lawal, A., and Mujumdar, A. S., 1984, "Forced Convection Heat Transfer to a Power Law Fluid in Arbitrary Cross-Section Ducts," Can. J. Chem. Eng., 62, pp. 326-333.
42. Curr, R. M., Sharma, D., and Tatchell, D. G., 1972, "Numerical Predictions of Some Three Dimensional Boundary Layers in Ducts," Comput. Methods Appl. Mech. Eng., 1, pp. 143-158.
43. Gangal, M. K., 1974, "Some Problems in Channel Flow," Ph.D. thesis, University of Calgary, Calgary, Alberta, Canada.
44. Niazmand, H., Tercan, G., and Renksizbulut, M., 2005, "Entrance Region Flows in Rectangular Microchannels With Constant Wall Temperature," Proceedings of the Third International Conference on Minichannels and Microchannels, Toronto, Canada, Paper No. ICMM2005-75064.
45. Quarmby, A., 1968, "A Finite Difference Analysis of Developing Slip Flow," Appl. Sci. Res., 19, pp. 18-33.