Joule heating induced heat transfer for electroosmotic flow of power-law fluids in a microcapillary

International Journal of Heat and Mass Transfer

Volumn 55, Issue 7-8, 2012, Pages 2044-2051

  Zhao, Cunlu ^a   Yang, Chun ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Capillary electrophoresis; Electroosmotic flow of non Newtonian fluids; Joule heating induced heat transfer

Indexed keywords

BIOFLUIDS; CLOSED-FORM EXPRESSION; ELECTRIC DOUBLE LAYER; ELECTROOSMOTIC FLOW; ENERGY EQUATION; EXACT SOLUTION; FLUID TEMPERATURES; HEAT TRANSFER CHARACTERISTICS; LOCAL NUSSELT NUMBER; MICRO-CAPILLARIES; MIXED THERMAL BOUNDARY CONDITIONS; MODIFIED BESSEL FUNCTION; MOMENTUM EQUATION; NEWTONIAN FLUIDS; POWER LAW FLUID; RHEOLOGICAL PROPERTY; TEMPERATURE FIELD;

BIOMEDICAL ENGINEERING; CAPILLARY ELECTROPHORESIS; CHEMICAL ANALYSIS; ELECTROOSMOSIS; HEATING; JOULE HEATING; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; NUSSELT NUMBER; RHEOLOGY; TEMPERATURE;

FLUIDS;

EID: 84856342372     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2011.12.005     Document Type: Article

References (43)

1. D.J. Harrison, K. Fluri, K. Seiler, Z. Fan, C.S. Effenhauser, and A. Manz Micromachining a miniaturized capillary electrophoresis-based chemical analysis system on a chip Science 261 5123 1993 895 897
2. J.G. Santiago Electroosmotic flows in microchannels with finite inertial and pressure forces Anal. Chem. 73 10 2001 2353 2365 (Pubitemid 32880705)
3. A. Wainright, U.T. Nguyen, T. Bjornson, and T.D. Boone Preconcentration and separation of double-stranded DNA fragments by electrophoresis in plastic microfluidic devices Electrophoresis 24 21 2003 3784 3792 (Pubitemid 38089184)
4. C.L. Rice, and R. Whitehead Electrokinetic flow in a narrow cylindrical capillary J. Phys. Chem. 69 11 1965 4017 4024
5. S. Levine, J.R. Marriott, G. Neale, and N. Epstein Theory of electrokinetic flow in fine cylindrical capillaries at high zeta-potentials J. Colloid Interface Sci. 52 1 1975 136 149
6. C. Yang, and D. Li Electrokinetic effects on pressure-driven liquid flows in rectangular microchannels J. Colloid Interface Sci. 194 1 1997 95 107 (Pubitemid 27497174)
7. Y. Kang, C. Yang, and X. Huang Dynamic aspects of electroosmotic flow in a cylindrical microcapillary Int. J. Eng Sci. 40 20 2002 2203 2221 (Pubitemid 35433377)
8. T. Tsuda, M. Ikedo, G. Jones, R. Dadoo, and R.N. Zare Observation of flow profiles in electroosmosis in a rectangular capillary J. Chromatogr. 632 1-2 1993 201 207 (Pubitemid 23066014)
9. E.B. Cummings, PIV measurement of electro-osmotic and pressure-driven flow components in microfluidic systems, in: Proceedings of ASME Microelectromechanical Systems (MEMS) 1999, pp. 377-382.
10. J. Gaudioso, and H.G. Craighead Characterizing electroosmotic flow in microfluidic devices J. Chromatogr. A 971 1-2 2002 249 253 (Pubitemid 35247687)
11. D.G. Yan, C. Yang, and X.Y. Huang Effect of finite reservoir size on electroosmotic flow in microchannels Microfluid. Nanofluid. 3 3 2007 333 340 (Pubitemid 46681557)
12. N.A. Patankar, and H.H. Hu Numerical simulation of electroosmotic flow Anal. Chem. 70 9 1998 1870 1881
13. L. Hu, J.D. Harrison, and J.H. Masliyah Numerical model of electrokinetic flow for capillary electrophoresis J. Colloid Interface Sci. 215 2 1999 300 312 (Pubitemid 29397910)
14. G.Y. Tang, C. Yang, C.K. Chai, and H.Q. Gong Numerical analysis of the thermal effect on electroosmotic flow and electrokinetic mass transport in microchannels Anal. Chim. Acta 507 1 2004 27 37 (Pubitemid 38224087)
15. Y.Q. Zu, and Y.Y. Yan Numerical simulation of electroosmotic flow near earthworm surface J. Bionic Eng. 3 4 2006 179 186 (Pubitemid 46561518)
16. J.M.K. Ng, I. Gitlin, A.D. Stroock, and G.M. Whitesides Components for integrated poly(dimethylsiloxane) microfluidic systems Electrophoresis 23 20 2002 3461 3473 (Pubitemid 35363888)
17. W. Xu, K. Uchiyama, T. Shimosaka, and T. Hobo Fabrication of polyester microchannels and their applications to capillary electrophoresis J. Chromatogr. A 907 1-2 2001 279 289
18. A.Q. Zade, M.T. Manzari, and S.K. Hannani An analytical solution for thermally fully developed combined pressure - electroosmotically driven flow in microchannels Int. J. Heat Mass Transfer 50 5-6 2007 1087 1096 (Pubitemid 46186349)
19. K. Horiuchi, and P. Dutta Heat transfer characteristics of mixed electroosmotic and pressure driven micro-flows JSME Int J. Ser. B 49 3 2006 812 819 (Pubitemid 46322185)
20. S. Chakraborty Analytical solutions of Nusselt number for thermally fully developed flow in microtubes under a combined action of electroosmotic forces and imposed pressure gradients Int. J. Heat Mass Transfer 49 3-4 2006 810 813 (Pubitemid 43177728)
21. D. Maynes, and B.W. Webb Fully-developed thermal transport in combined pressure and electro-osmotically driven flow in microchannels J. Heat Transfer 125 5 2003 889 895 (Pubitemid 37348088)
22. K. Horiuchi, and P. Dutta Joule heating effects in electroosmotically driven microchannel flows Int. J. Heat Mass Transfer 47 14-16 2004 3085 3095 (Pubitemid 38616289)
23. B.D. Iverson, D. Maynes, and B.W. Webb Thermally developing electroosmotic convection in rectangular microchannels with vanishing Debye-layer thickness J. Thermophys. Heat Transfer 18 4 2004 486 493 (Pubitemid 39503969)
24. S.L. Broderick, B.W. Webb, and D. Maynes Thermally developing electro-osmotic convection in microchannels with finite debye-layer thickness Numer. Heat Transfer Part A 48 10 2005 941 964 (Pubitemid 43078499)
25. B.C. Liechty, B.W. Webb, and R.D. Maynes Convective heat transfer characteristics of electro-osmotically generated flow in microtubes at high wall potential Int. J. Heat Mass Transfer 48 12 2005 2360 2371 (Pubitemid 40599718)
26. M. Das, V.K. Jain, and P.S. Ghoshdastidar Fluid flow analysis of magnetorheological abrasive flow finishing (MRAFF) process Int. J. Mach. Tools Manufact. 48 3-4 2008 415 426
27. W.B. Zimmerman, J.M. Rees, and T.J. Craven Rheometry of non-Newtonian electrokinetic flow in a microchannel T-junction Microfluid. Nanofluid. 2 6 2006 481 492 (Pubitemid 44614740)
28. R.R. Huilgol, and Z. You Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids J. Non-Newtonian Fluid Mech. 128 2-3 2005 126 143 (Pubitemid 41015372)
29. Y.H. Koh, N.S. Ong, X.Y. Chen, Y.C. Lam, and J.C. Chai Effect of temperature and inlet velocity on the flow of a nonNewtonian fluid Int. Commun. Heat Mass Transfer 31 7 2004 1005 1013 (Pubitemid 38728764)
30. F. Kamisli Flow analysis of a power-law fluid confined in an extrusion die Int. J. Eng. Sci. 41 10 2003 1059 1083
31. S. Das, and S. Chakraborty Analytical solutions for velocity, temperature and concentration distribution in electroosmotic microchannel flows of a non-Newtonian bio-fluid Anal. Chim. Acta 559 1 2006 15 24 (Pubitemid 43184282)
32. J.H. Masliyah, and S. Bhattacharjee Electrokinetic and Colloid Transport Phenomena 2006 Wiley-Interscience Hoboken, N.J.
33. C. Zhao, E. Zholkovskij, J. Masliyah, and C. Yang Analysis of electroosmotic flow of power-law fluids in a slit microchannel J. Colloid Interface Sci. 326 2 2008 503 510
34. D.Q. Li Electrokinetics in Microfluidics 2004 Elsevier Academic Press Oxford
35. C. Yang, D. Li, and J.H. Masliyah Modeling forced liquid convection in rectangular microchannels with electrokinetic effects Int. J. Heat Mass Transfer 41 1998 4229 4249 (Pubitemid 29139713)
36. M. Abramowitz, I.A. Stegun, Handbook of mathematical functions, U.S. Department of Commerce, National Bureau of Stands, Washington DC, 1970.
37. C. Zhao, and C. Yang Nonlinear Smoluchowski velocity for electroosmosis of power-law fluids over a surface with arbitrary zeta potentials Electrophoresis 31 5 2010 973 979
38. W.A. Gobie, and C.F. Ivory Thermal model of capillary electrophoresis and a method for counteracting thermal band broadening J. Chromatogr. A 516 1 1990 191 210 (Pubitemid 20291376)
39. R. Chein, Y.C. Yang, and Y. Lin Estimation of Joule heating effect on temperature and pressure distribution in electrokinetic-driven microchannel flows Electrophoresis 27 3 2006 640 649 (Pubitemid 43250775)
40. W.M. Deen Analysis of Transport Phenomena 1998 Oxford University Press New York
41. S.L. Broderick, Thermally Developing Electro-osmotic Convection in Circular Microchannels, Brigham Young University, Master thesis, 2004.
42. L.C. Burmeister Convective Heat Transfer 2nd ed. 1993 Wiley-Interscience New York
43. X. Xuan, D. Sinton, and D. Li Thermal end effects on electroosmotic flow in a capillary Int. J. Heat Mass Transfer 47 14-16 2004 3145 3157 (Pubitemid 38616294)