The effect of creep flow on two-dimensional isoflux microchannels

International Journal of Thermal Sciences

Volumn 46, Issue 11, 2007, Pages 1095-1103

  van Rij, Jennifer ^a   Harman, Todd ^a   Ameel, Timothy ^a  

^a University of Utah   (United States)

Author keywords

Creep; Microchannel; Nusselt number; Poiseuille number; Slip; Viscous dissipation

Indexed keywords

CONTINUUM MECHANICS; CREEP; FRICTION; HEAT CONVECTION; HEAT FLUX; NUMERICAL METHODS; NUSSELT NUMBER;

ACCOMMODATION COEFFICIENTS; POISEUILLE NUMBER; VISCOUS DISSIPATION;

MICROCHANNELS;

EID: 34548847745     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2007.04.007     Document Type: Article

References (25)

1. R.M. Inman, Laminar slip flow heat transfer in a parallel-plate channel or a round tube with uniform wall heating, NASA TN D-2393 (1964)
2. Ameel T.A., Wang X., Barron R.F., and Warrington R.O. Laminar forced convection in a circular tube with constant heat flux and slip flow. Microscale Thermophysical Engineering 1 (1997) 303-320
3. Barron R.F., Wang X., Ameel T.A., and Warrington R.O. The Graetz problem extended to slip-flow. International Journal of Heat and Mass Transfer 40 (1997) 1817-1823
4. Larrode F.E., Housiadas C., and Drossinos Y. Slip-flow heat transfer in circular tubes. International Journal of Heat and Mass Transfer 43 (2000) 2669-2680
5. Tunc G., and Bayazitoglu Y. Heat transfer for gaseous flow in microtubes with viscous heating. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD 366 (2000) 299-306
6. Tunc G., and Bayazitoglu Y. Convection at the entrance of micropipes with sudden wall temperature change. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD 372 (2002) 265-270
7. Chen X., and Xu B. The Nusselt number and friction factor at the entrance of a micro-duct. International Communications in Heat and Mass Transfer 29 (2002) 763-772
8. S. Yu, Slip flow heat transfer in rectangular microchannels, Ph.D. thesis, University of Utah, USA, 2002
9. Hadjiconstantinou N.G. Convective heat transfer in micro and nano channels: Nusselt number beyond slip flow. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD 366 (2000) 13-22
10. Hadjiconstantinou N.G., and Simek O. Constant-wall-temperature Nusselt number in micro and nano-channels. Journal of Heat Transfer 124 (2002) 356-364
11. Hadjiconstantinou N.G. The effect of viscous heat dissipation on convective heat transfer in small-scale slipping gaseous flows. International Conference on Microchannels and Minichannels 1 (2003) 269-273
12. Kavehpour H.P., Faghri M., and Asako Y. Effects of compressibility and rarefaction on gaseous flows in microchannels. Numerical Heat Transfer; Part A: Applications 32 (1997) 677-696
13. Chen C.S., and Kuo W.J. Heat transfer characteristics of gaseous flow in long mini- and microtubes. Numerical Heat Transfer; Part A: Applications 46 (2004) 497-514
14. Maxwell J.C. On stresses in rarified gases arising from inequalities of temperature. Philosophical Transactions of the Royal Society, London 170 (1879) 231-256
15. Smoluchowski M. Ueber wärmeleitung in verdünnten gasen. Annalen der Physik und Chemie 64 (1898) 101-130
16. Deissler R.G. An analysis of second-order slip flow and temperature-jump boundary conditions for rarefied gases. International Journal of Heat and Mass Transfer 7 (1964) 681-694
17. Karniadakis G.E., and Beskok A. Micro Flows: Fundamentals and Simulation (2002), Springer-Verlag, New York
18. Maurer J., Tabeling P., Joseph P., and Willaime H. Second-order slip laws in microchannels for helium and nitrogen. Physics of Fluids 15 (2003) 2613-2621
19. Colin S., Lalonde P., and Caen R. Validation of a second-order slip flow model in rectangular microchannels. Heat Transfer Engineering 25 (2004) 23-30
20. Shah R.K., and London A.L. Laminar Flow Forced Convection in Ducts (1978), Academic Press, New York
21. Harlow F., and Amsden A. Numerical calculation of almost incompressible flow. Journal of Computational Physics 3 (1968) 80-93
22. B. Kashiwa, R. Rauenzahn, A cell-centered ICE method for multiphase flow simulations, Los Alamos National Laboratory Technical Report LA-UR-93-3922 (1994)
23. Guilkey J.E., Harman T., Xia A., Kashiwa B., and McMurtry P. An Eulerian-Lagrangian approach for large deformation fluid structure interaction problems, Part 1: Algorithm development. Advances in Fluid Mechanics, Fluid Structure Interaction II 36 (2003) 143-156
24. Harman T., Guilkey J.E., Kashiwa B., Schmidt J., and McMurtry P. An Eulerian-Lagrangian approach for large deformation fluid structure interaction problems, Part 2: Multi-physics simulations within a modern computational framework. Advances in Fluid Mechanics, Fluid Structure Interaction II 36 (2003) 157-166
25. Parker S.G., Guilkey J., and Harman T. A component-based parallel infrastructure for the simulation of fluid-structure interaction. Engineering with Computers 22 (2006) 277-292