Numerical simulation and modeling of laminar developing flow in channels and tubes with slip

Journal of Fluids Engineering, Transactions of the ASME

Volumn 135, Issue 10, 2013, Pages

  Muzychka, Y S ^a   Enright, R ^b  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

^b NOKIA RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AXIAL COORDINATES; COMPRESSIBILITY EFFECTS; COMPUTATIONAL FLUID DYNAMICS SIMULATIONS; HYDRODYNAMIC ENTRANCE REGION; MOMENTUM EQUATION; NAVIER SLIP BOUNDARY CONDITION; SIMULATION AND MODELING; SUPER-HYDROPHOBIC SURFACES;

HYDROPHOBICITY; LINEARIZATION; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; TUBES (COMPONENTS);

COMPUTATIONAL FLUID DYNAMICS;

EID: 84888236364     PISSN: 00982202     EISSN: 1528901X     Source Type: Journal    
DOI: 10.1115/1.4024808     Document Type: Article

References (49)

1. Navier, C. L. M. H., 1823, "Memoire sur les Lois du Movement des Fluids," Mem. Acad. R. Sci. Inst. Fr., 6, pp. 389-440.
2. Kennard, E. H., 1938, Kinetic Theory of Gases, McGraw-Hill, New York.
3. Present, R. D., 1958, Kinetic Theory of Gases, McGraw-Hill, New York.
4. Loeb, L., 1961, Kinetic Theory of Gases, Dover, New York.
5. Ebert, W. A., and Sparrow, E. M., 1965, "Slip Flow in Rectangular and Annular Ducts," ASME J. Basic Eng., 87, pp. 1018-1024.
6. Arkilic, E. B., Breuer, K. S., and Schmidt, M. A., 1997, "Gaseous Slip Flow in Long Microchannels," J. Microelectromech. Syst., 6, pp. 167-178. (Pubitemid 127607048)
7. Morini, G. L., Lorenzini, M., and Spiga, M., 2005, "A Criterion for Experimental Validation of Slip Flow Models for Incompressible Rarefied Gases Through Micro-Channels," Microfluid. Nanofluid., 1, pp. 190-196. (Pubitemid 40794912)
8. Duan, Z. P., and Muzychka, Y. S., 2006, "Slip Flow in Elliptic Microchannels," Int. J. Therm. Sci., 46, pp. 1104-1111. (Pubitemid 47444530)
9. Duan, Z. P., and Muzychka, Y. S., 2007, "Slip Flow in Non-Circular Micro-Channels," Microfluid. Nanofluid., 3, pp. 473-484.
10. Duan, Z. P., and Yovanovich, M. M., 2010, "A Compact Model for Gaseous Slip Flow in Non-Circular Micro-Channels," Proceedings of the 2010 ICNMMFEDSM, Montreal, August 1-5.
11. Lauga, E., and Stone, H. A., 2003, "Effective Slip in Pressure Driven Stokes Flow," J. Fluid Mech., 489, pp. 55-77. (Pubitemid 37111098)
12. Sbragaglia, M., and Prosperetti, A., 2007, "A Note on the Effective Slip Properties for Microchannel Flows With Ultrahydrophobic Surfaces," Phys. Fluids, 19, p. 043603.
13. Ybert, C., Barentin, C., Cottin-Bizonne, C., Joseph, P., and Bocquet, L., 2007, "Achieving Large Slip With Superhydrophobic Surfaces: Scaling Laws for Generic Geometries," Phys. Fluids, 19, p. 123601.
14. Sbragaglia, M., and Prosperetti, A., 2007, "Effective Velocity Boundary Condition at a Mixed Slip Surface," J. Fluid Mech., 578, pp. 435-451. (Pubitemid 47307573)
15. Davis, A. M. J., and Lauga, E., 2009, "Geometric Transition in Friction for Flow Over a Bubble Mattress," Phys. Fluids, 21, p. 011701.
16. Ng, C.-O., and Wang, C. Y., 2009, "Stokes Shear Flow Over a Grating: Implications for Superhydrophobic Slip," Phys. Fluids, 21, p. 013602.
17. Feuillebois, F., Bazant, M., and Vinogradova, O. I., 2009, "Effective Slip Over Superhydrophobic Surfaces in Thin Channels," Phys. Rev. Lett., 102, p. 026001.
18. Ng, C.-O., andWang, C. Y., 2009, "Apparent Slip Arising From Stokes Shear Flow Over a Bidimensional Patterned Surface," Microfluid. Nanofluid., 5, pp. 1-11.
19. Muzychka, Y. S., and Yovanovich, M. M., 2009, "Pressure Drop in Laminar Developing Flow in Non-Circular Ducts: A Scaling and Modeling Approach," ASME J. Fluids Eng., 131, p. 111105.
20. Muzychka, Y. S., Duan, Z. P., and Yovanovich, M. M., 2011, "Fluid Friction and Heat Transfer in Microchannels," Handbook of Microfluidics and Nanofluidics, S. Chagraborty and S. Mitra, eds., CRC, Boca Raton, FL.
21. 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, pp. 223-238.
22. Quarmby, A., 1965, "Slip Flow in the Hydrodynamic Entrance Region of a Tube and Parallel Plate Channel," Appl. Sci. Rev., 15, pp. 411-428.
23. Quarmby, A., 1966, "Slip Flow in an Annulus," Appl. Sci. Rev., 16, pp. 301-314.
24. Targ, S.M., 1951, Osnovnye Zadachi Teorii Laminarykh Techenyi, GITTL,Moscow.
25. Quarmby, A., 1968, "A Finite Difference Analysis of Developing Slip Flow," Appl. Sci. Rev., 19, pp. 18-33.
26. 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, September 4-7.
27. Barber, R. W., and Emerson, D. R., 2002, "The Influence of Knudsen Number on the Hydrodynamic Development Length Within Parallel Plate Microchannels," Advances in Fluid Mechanics IV, E. R. Rahman, R. Verhoeven, and C. Brebbia, eds., WIT Press, Southhampton, UK, pp. 207-216.
28. Renksizbulut, M., Niazmand, H., and Tercan, G., 2006, "Slip Flow and Heat Transfer in Rectangular Micro-channels With Constant Wall Temperature," Int. J. Therm. Sci., 45, pp. 870-881. (Pubitemid 43946702)
29. Niazmand, H., Renksizbulut, M., and Saeedi, E., 2009, "Developing Slip Flow and Heat Transfer in Trapezoidal Micro-Channels," Int. J. Heat Mass Transfer, 51, pp. 6126-6135.
30. Zade, A. Q., Renksizbulut, M., and Friedman, J., 2011, "Heat Transfer Characteristics of Developing Gaseous Slip Flow in Rectangular Microchannels With Variable Physical Properties," Int. J. Heat Fluid Flow, 32, pp. 117-127.
31. Madawa Hettiarachchi, H. D., Golubovic, M., Worek, W. M., and Minkowicz, W. J., 2008, "Three Dimensional Laminar Slip Flow and Heat Transfer in a Rectangular Microchannel With Constant Wall Temperature," Int. J. Heat Mass Transfer, 51, pp. 5088-5096.
32. Duan, Z. P., and Muzychka, Y. S., 2007, "Models for Gaseous Slip Flow in Non-Circular Microchannels, Proceedings of ASME-JSME Thermal Engineering Summer Heat Transfer Conference, Vancouver, Canada, July 8-12.
33. Duan, Z. P., and Muzychka, Y. S., 2010, "Slip Flow in the Hydrodynamic Entrance Region of Circular and Non-Circular Microchannels," ASME J. Fluids Eng., 132(1), p. 011201.
34. Chakraborty, S., and Anand, K. D., 2008, "Implications of Hydrophobic Interactions and Consequent Apparent Slip Phenomena on the Entrance Region Transport of Liquids Through Microchannels," Phys. Fluids, 20, p. 043602.
35. Shah, R. K., and London, A. L., 1978, Laminar Flow Forced Convection in Ducts, Academic, New York.
36. Philip, J. R., 1972, "Flows Satisfying Mixed No-Slip and No-Shear Conditions," Z. Angew. Math. Phys., 23, pp. 353-370.
37. Philip, J. R., 1972, "Integral Properties of Flows Satisfying Mixed No-Slip and No-shear Conditions," Z. Angew. Math. Phys., 23, pp. 960-968.
38. Teo, C. J., and Khoo, B. C., 2009, "Analysis of Stokes Flow in Microchannels With Superhydrophobic Surfaces Containing a Periodic Array of Microgrooves," Microfluid. Nanofluid., 7, pp. 353-382.
39. Sbragaglia, M., and Prosperetti, A., 2007, "A Note on the Effective Slip Properties for Microchannel Flows With Ultrahydrophobic Surfaces," Phys. Fluids, 19, p. 043603.
40. Teo, C. J., and Khoo, B. C., 2010, "Flow Past Superhydrophobic Surfaces Containing Longitudinal Grooves: Effects of Interface Curvature," Microfluid. Nanofluid., 6, pp. 499-511.
41. Wenzel, R. N., 1936, "Resistance of Solid Surfaces to Wetting by Water," Ind. Eng. Chem., 28(8), pp. 988-994.
42. Cassie, A. B. D., and Baxter, S., 1944, "Wettability of Porous Surfaces," Trans. Faraday Soc., 40, pp. 546-551.
43. Bird, R. B., Stewart, W. E., and Lightfoot, E. N., 1960, Transport Phenomena, Wiley, New York.
44. ANSYS Inc., 2009, Fluent Users Guide, Version 6.3 edition, ANSYS Inc., Canonsburg, PA.
45. Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.
46. Gamrat, G., Favre-Marinet, M., and Asendrych, D., 2005, "Conduction and Entrance Effects on Laminar Liquid Flow and Heat Transfer in Rectangular Microchannels," Int. J. Heat Mass Transfer, 48, pp. 2943-2954. (Pubitemid 40653299)
47. Darbandi, M., and Vakilipour, M., 2009, "Solution of Thermally Developing Zone in Short Micro-Nanoscale Channels," ASME J. Heat Transfer, 131(4), p. 044501.
48. Palle, S., and Aliabadi. S., 2012, "Slip Flow and Heat Transfer in Rectangular and Circular Microchannels Using Hybrid FE/FV Method," Int. J. Numer. Methods Eng., 89, pp. 53-70.
49. 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.