Effects of viscous dissipation on slip-flow heat transfer in a micro annulus

International Journal of Heat and Mass Transfer

Volumn 53, Issue 7-8, 2010, Pages 1402-1408

  Char, Ming I ^a   Tai, Bo Chen ^a  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

Author keywords

Brinkman number; Knudsen number; La DQM; Micro annulus; Nusselt number

Indexed keywords

BRINKMAN NUMBER; CIRCULAR TUBES; CONSTANT WALL TEMPERATURE; DIFFERENTIAL QUADRATURE METHODS; ENERGY EQUATION; HYBRID APPLICATIONS; KNUDSEN NUMBERS; LA-DQM; LAPLACE TRANSFORMATIONS; LOCAL NUSSELT NUMBER; LOCAL-ADAPTIVE; MICRO ANNULUS; RADIUS RATIO; SLIP-FLOW; TEMPERATURE FIELD; TEMPERATURE GRADIENT; TEMPERATURE JUMP; THERMAL ENTRANCE; VISCOUS DISSIPATION;

CYLINDERS (SHAPES); DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FORCED CONVECTION; LAPLACE EQUATION; LAPLACE TRANSFORMS; VISCOUS FLOW;

NUSSELT NUMBER;

EID: 74549192202     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2009.12.017     Document Type: Article

References (19)

1. Choi S.B., Barron R.F., and Warrington R.O. Fluid flow and heat transfer in microtubes. In: Cho D., Warrington Jr. R., Pisano A., Bau H., Friedrich C., Jara-Almonte J., and Liburdy J. (Eds). Micromechanical Sensors, Actuators, and Systems DSC vol. 32 (1991), ASME, New York 123-134
2. Barron R.F., Wang X., Warrington R.O., and Ameel T. Evaluation of the eigenvalues for the Graetz problem in slip-flow. Int. Commun. Heat Mass Transf. 23 4 (1996) 563-574
3. Barron R.F., Wang X., Ameel T.A., and Warrington R.O. The Graetz problem extended to slip-flow. Int. J. Heat Mass Transfer 40 (1997) 1817-1823
4. Larrodé F.E., Housiadas C., and Drossinos Y. Slip-flow heat transfer in circular tubes. Int. J. Heat Mass Transfer 43 (2000) 2669-2680
5. Tunc G., and Bayazitoglu Y. Heat transfer in microtubes with viscous dissipation. Int. J. Heat Mass Transfer 44 (2001) 2395-2403
6. Chen C.H. Slip-flow heat transfer in a microchannel with viscous dissipation. Heat Mass Transfer 42 (2006) 853-860
7. Avci M., and Aydin O. Laminar forced convection slip-flow in a micro-annulus between two concentric cylinders. Int. J. Heat Mass Transfer 51 (2008) 3460-3467
8. Turgay M.B., and Yazicioglu A.G. Effect of surface roughness in parallel-plate microchannels on heat transfer. Numer. Heat Transfer A: Appl. 56 6 (2009) 497-514
9. Sun H., and Faghri M. Effect of surface roughness on nitrogen flow in a microchannel using the direct simulation Monte Carlo method. Numer. Heat Transfer A: Appl. 43 1 (2003) 1-8
10. Wang Q.W., Zhao C.L., Zeng M., and Wu Y.N. Numerical investigation of rarefied diatomic gas flow and heat transfer in a microchannel using DSMC with uniform heat flux boundary condition - Part I: Numerical method and validation. Numer. Heat Transfer B: Fund. 53 2 (2008) 160-173
11. Wang Q.W., Zhao C.L., Zeng M., and Wu Y.N. Numerical investigation of rarefied diatomic gas flow and heat transfer in a microchannel using DSMC with uniform heat flux boundary condition - Part II: Applications. Numer. Heat Transfer B: Fund. 53 2 (2008) 174-187
12. Chen C.S. Reduced Navier-Stokes simulation of incompressible microchannel flows. Numer. Heat Transfer A: Appl. 53 1 (2008) 71-87
13. Tan S.T., and Ng E.Y.K. Numerical analysis of EDL effect on heat transfer characteristic of 3-D developing flow in a microchannel. Numer. Heat Transfer A: Appl. 49 10 (2006) 991-1007
14. Bellman R., and Casti J. Differential quadrature and long-term integration. J. Math. Anal. Appl. 34 (1971) 235-238
15. Bellman R., Kashef B.G., and Casti J. Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. J. Comput. Phys. 10 (1972) 40-52
16. Bert C.W., and Malik M. Differential quadrature method in computational mechanics: a review. Appl. Mech. Rev. 49 1 (1996) 1-28
17. Wang Y., Zhao Y.B., and Wei G.W. A note on the numerical solution of high-order differential equations. J. Comput. Appl. Math. 159 (2003) 387-398
18. Char M.I., Chang F.P., and Tai B.C. Inverse determination of thermal conductivity by differential quadrature method. Int. Commun. Heat Mass Transf. 35 (2008) 113-119
19. De Hoog F.R., Knight J.H., and Stokes A.N. An improved method for numerical inversion of Laplace transforms. SIAM J. SCI. Stat. Comput. 3 (1982) 357-366