Temperature-dependent viscosity and viscous dissipation effects in simultaneously developing flows in microchannels with convective boundary conditions

Journal of Heat Transfer

Volumn 129, Issue 9, 2007, Pages 1187-1194

  Nonino, Carlo ^a   Del Giudice, S ^a   Savino, S ^a  

^a UNIVERSITY OF UDINE   (Italy)

Author keywords

Convective boundary conditions; Microchannels; Simultaneously developing flows; Temperature dependent viscosity; Viscous dissipation

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CHANNEL FLOW; COMPUTATIONAL GEOMETRY; FINITE ELEMENT METHOD; NUSSELT NUMBER; TEMPERATURE DISTRIBUTION; VELOCITY DISTRIBUTION; VISCOSITY; VISCOUS FLOW;

CONVECTIVE BOUNDARY CONDITIONS; MICROCHANNELS FLOWS; SIMULTANEOUSLY DEVELOPING FLOWS; TEMPERATURE DEPENDENT VISCOSITY; VISCOUS DISSIPATION;

MICROCHANNELS;

ALGORITHMS; BOUNDARY CONDITIONS; CHANNEL FLOW; COMPUTATIONAL GEOMETRY; FINITE ELEMENT METHOD; MICROCHANNELS; NUSSELT NUMBER; TEMPERATURE DISTRIBUTION; VELOCITY DISTRIBUTION; VISCOSITY; VISCOUS FLOW;

EID: 35348922199     PISSN: 00221481     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2740306     Document Type: Article

References (32)

1. Del Giudice, S., Nonino, C., and Savino, S., 2005, "Thermally Developing Laminar Flow in Microchannels With Temperature Dependent Viscosity and Viscous Dissipation," Proc. of the ECI ICHTFFM, Castelvecchio Pascoli, Italy, September 25-30 (CD-ROM).
2. Nonino, C., Del Giudice, S., and Savino, S., 2005, "Effects of Viscous Dissipation and Temperature Dependent Viscosity in Simultaneously Developing Laminar Flow in Microchannels," Proc. of the ECI ICHTFFM, Castelvecchio Pascoli, Italy, September 25-30 (CD-ROM).
3. Shah, R. K., and London, A. L., 1978, Laminar Flow Forced Convection in Ducts, Academic, New York.
4. Shah, R. K., and Bhatti, M. S., 1987, "Laminar Convective Heat Transfer in Ducts," Handbook of Single-Phase Convective Heat Transfer, S. Kakaç, R. K. Shah, and W. Aung, eds., Chap. 3, Wiley, New York.
5. Kakaç, S., 1987, "The Effect of Temperature-Dependent Fluid Properties on Convective Heat Transfer," Handbook of Single-Phase Convective Heat Transfer, S. Kakaç, R. K. Shah, and W. Aung, eds., Chap. 18, Wiley, New York.
6. Nouar, C., 1999, "Numerical Solution for Laminar Mixed Convection in a Horizontal Annular Duct: Temperature-Dependent Viscosity Effect," Int. J. Numer. Methods Fluids, 29, pp. 849-864.
7. Nóbrega, J. M., Pinho, F. T., Oliveira, P. J., and Carneiro, O. S., 2004, "Accounting for Temperature Dependent Properties in Viscoelastic Duct Flows," Int. J. Heat Mass Transfer, 47, pp. 1141-1158.
8. Shannon, R. L., and Depew, C. A., 1969, "Forced Laminar Flow Convection in a Horizontal Tube With Variable Viscosity and Free Convection Effects," J. Heat Transfer, 91, pp. 251-258.
9. Josbi, S. D., and Bergles, A. E., 1980, "Analytical Study of Heat Transfer to Laminar in-Tube Flow of Non-Newtonian Fluids," AIChE Symp. Ser., 76(199), pp. 270-281.
10. Toh, K. C., Chen, X. Y., and Chai, J. C., 2002, "Numerical Computation of Fluid Flow and Heat Transfer in Microchannels," Int. J. Heat Mass Transfer, 45, pp. 5133-5141.
11. Xu, B., Ooi, K. T., Mavriplis, C., and Zaghloul, M. E., 2003, "Evaluation of Viscous Dissipation in Liquid Flow in Microchannels," J. Micromech. Microeng., 13, pp. 53-57.
12. Morini, G. L., 2005, "Viscous Dissipation as Scaling Effect for Liquid Flows in Microchannels," Proc. of the 3rd ICMM, Toronto, Canada, June 13-16 (CD-ROM).
13. Shen, P., Aliabadi, S. K., and Abedi, J. A., 2004, "Review of Single-Phase Liquid Flow and Heat Transfer in Microchannels," Proc. of the 2nd ICMM, Rochester, NY, June 17-19, pp. 213-220.
14. Koo, J., and Kleinstreuer, C., 2003, "Liquid Flow in Microchannels: Experimental Observations and Computational Analyses of Microfluidics Effects," J. Micromech. Microeng., 13, pp. 568-579.
15. Herwig, H., and Hausner, O., 2003, "Critical View on New Results in Micro-Fluid Mechanics: An Example," Int. J. Heat Mass Transfer, 46, pp. 935-937.
16. Tso, C. P., and Mahulikar, S. P., 1998, "The Use of the Brinkman Number for Single Phase Forced Convective Heat Transfer in Microchannels," Int. J. Heat Mass Transfer, 41, pp. 1759-1769.
17. Morini, G. L., 2005, "Viscous Heating in Liquid Flows in Microchannels," Int. J. Heat Mass Transfer, 48, pp. 3637-3647.
18. Koo, J., and Kleinstreuer, C., 2004, "Viscous Dissipation Effects in Microtubes and Microchannels," Int. J. Heat Mass Transfer, 47, pp. 3159-3169.
19. Koo, J., and Kleinstreuer, C., 2004, "Analysis of Liquid Flow in Micro-Conduits," Proc. of the 2nd ICMM, Rochester, NY, June 17-19, pp. 191-198.
20. Tunc, G., and Bayazitoglu, Y., 2001, "Heat Transfer in Microtubes With Viscous Dissipation," Int. J. Heat Mass Transfer, 44, pp. 2395-2403.
21. Nonino, C., Del Giudice, S., and Comini, G., 1988, "Laminar Forced Convection in Three-Dimensional Duct Flows," Numer. Heat Transfer 13, pp. 451-466.
22. Patankar, S. V., and Spalding, D. B., 1972, "A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows," Int. J. Heat Mass Transfer, 15, pp. 1787-1806.
23. Hirsh, C., 1988, Numerical Computation of Internal and External Flows, Vol. 1, Wiley, New York, p. 70.
24. Nonino, C., Del Giudice, S., and Savino, S., 2006, "Temperature Dependent Viscosity Effects on Laminar Forced Convection in the Entrance Region of Straight Ducts," Int. J. Heat Mass Transfer, 49, pp. 4469-4481.
25. Lin, C. R., and Chen, C. K., 1994, "Effect of Temperature Dependent Viscosity on the Flow and Heat Transfer over an Accelerating Surface," J. Phys. D, 27, pp. 29-36.
26. Costa, A., and Macedonio, G., 2002, "Nonlinear Phenomena in Fluids With Temperature-Dependent Viscosity: An Hysteresis Model for Magma Flow in Conduits," Geophys. Res. Lett., 29(10), pp. 1402.
27. Costa, A., and Macedonio, G., 2003, "Viscous Heating for Fluids With Temperature Dependent Viscosity: Implications for Magma Flows," Nonlinear Processes Geophys., 10, pp. 545-555.
28. Javeri, V., 1977, "Heat Transfer in Laminar Entrance Region of a Flat Channel for the Temperature Boundary Condition of the Third Kind," Waerme- Stoffuebertrag., 10, pp. 137-144.
29. Nonino, C., 2003, "A Simple Pressure Stabilization for a SIMPLE-Like Equal-Order FEM Algorithm," Numer. Heat Transfer, Part B, 44, pp. 61-81.
30. Barletta, A., 1997, "Fully Developed Laminar Forced Convection in Circular Ducts for Power-Law Fluids With Viscous Dissipation," Int. J. Heat Mass Transfer, 40, pp. 15-26.
31. Zanchini, E., 1997, "Effect of Viscous Dissipation on the Asymptotic Behaviour of Laminar Forced Convection in Circular Tubes," Int. J. Heat Mass Transfer, 40, pp. 169-178.
32. Lin, T. F., Hawks, K. H., and Leidenfrost, W., 1983, "Analysis of Viscous Dissipation Effect on Thermal Entrance Heat Transfer in Laminar Pipe Flows With Convective Boundary Conditions," Waerme- Stoffuebertrag., 17, pp. 97-105.