Analytical heat diffusion models for heat sinks with circular micro-channels

International Journal of Heat and Mass Transfer

Volumn 53, Issue 21-22, 2010, Pages 4552-4566

  Kim, Sung Min ^a   Mudawar, Issam ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Analytical model; Heat diffusion; Micro channel

Indexed keywords

ANALYTICAL MODEL; CHANNEL DIAMETERS; CIRCULAR PROFILE; DEGREES OF COMPLEXITY; EFFECTIVE TOOL; ELECTRONIC COOLING; EXACT SOLUTION; HEAT DIFFUSIONS; HEAT TRANSFER RATE; HEATING CONDITIONS; NUMERICAL RESULTS; ONE-DIMENSIONAL HEAT; POLYNOMIAL FORM; POWER SERIES SOLUTIONS; THERMAL RESISTANCE; TWO-DIMENSIONAL NUMERICAL SIMULATION;

DIFFERENTIAL EQUATIONS; DIFFUSION; FINS (HEAT EXCHANGE); MATHEMATICAL MODELS; MODELS; NUMERICAL ANALYSIS; TWO DIMENSIONAL;

HEAT RESISTANCE;

EID: 77955511757     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2010.06.038     Document Type: Article

References (24)

1. Triplett K.A., Ghiaasiaan S.M., Abdel-Khalik S.I., LeMouel A., McCord B.N. Gas-liquid two-phase flow in micro-channels Part II: void fraction and pressure drop. Int. J. Multiphase Flow 1999, 25:395-410.
2. Jiang L., Wong M., Zohar Y. Forced convection boiling in a micro-channel heat sink. J. Microelectromechanical Syst. 2001, 10:80-87.
3. Qu W., Mudawar I. Flow boiling heat transfer in two-phase micro-channel heat sinks-I. Experimental investigation and assessment of correlation methods. Int. J. Heat Mass Transfer 2003, 46:2755-2771.
4. Lee J., Mudawar I. Two-phase flow in high-heat-flux micro-channel heat sink for refrigeration cooling applications: Part II - heat transfer characteristics. Int. J. Heat Mass Transfer 2005, 48:941-955.
5. Tiselj I., Hetsroni G., Mavko B., Mosyak A., Pogrebnyak E., Segal Z. Effect of axial conduction on the heat transfer in micro-channels. Int. J. Heat Mass Transfer 2004, 47:2551-2565.
6. Liu G., Xu J., Yang Y., Zhang W. Active control of flow and heat transfer in silicon micro-channels. J. Micromech. Microeng. 2010, 20:045006.
7. Qu W., Mala G.M., Li D. Heat transfer for water flow in trapezoidal silicon micro-channels. Int. J. Heat Mass Transfer 2000, 43:3925-3936.
8. Megahed A., Hassan I. Two-phase pressure drop and flow visualization of FC-72 in a silicon micro-channel heat sink. Int. J. Heat Fluid Flow 2009, 30:1171-1182.
9. Wu H., Wu X., Wei Z. Flow friction and heat transfer of ethanol-water solutions through silicon micro-channels. J. Micromech. Microeng. 2009, 19:045005.
10. Husain A., Kim K.Y. Thermal optimization of a micro-channel heat sink with trapezoidal cross section. J. Electron. Packag. 2009, 131:021005.
11. Webb R.L., Zhang M. Heat transfer and friction in small diameter channels. Microscale Thermophys. Eng. 1998, 2:189-202.
12. Tso C.P., Mahulikar S.P. Experimental verification of the role of Brinkman number in micro-channels using local parameters. Int. J. Heat Mass Transfer 2000, 43:1837-1849.
13. Mudawar I., El-Masri M.A., Wu C.S., Ausman-Mudawar J.R. Boiling heat transfer and critical heat flux in high-speed rotating liquid films. Int. J. Heat Mass Transfer 1985, 28:795-806.
14. Bowers M.B., Mudawar I. High flux boiling in low flow rate, low pressure drop mini-channel and micro-channel heat sinks. Int. J. Heat Mass Transfer 1994, 37:321-332.
15. Mudawar I., Bowers M.B. Ultra-high critical heat flux (CHF) for subcooled water flow boiling - I. CHF data and parametric effects for small diameter tubes. Int. J. Heat Mass Transfer 1999, 42:1405-1428.
16. Hall D.D., Mudawar I. Ultra-high critical heat flux (CHF) for subcooled water flow boiling - II. High-CHF database and design parameters. Int. J. Heat Mass Transfer 1999, 42:1429-1456.
17. Kim S.M., Mudawar I. Analytical heat diffusion models for different micro-channel heat sink cross-sectional geometries. Int. J. Heat Mass Transfer 2010, 53:4002-4016.
18. Murray W.M. Heat dissipation through an annular disk or fin of uniform thickness. J. Appl. Mech. 1938, 60:A-78.
19. Gardner K.A. Efficiency of extended surface. Trans. ASME 1945, 67:621-631.
20. Incropera F.P., Dewitt D.P. Fundamentals of Heat and Mass Transfer 2002, Wiley, New York, NY. 5th ed.
21. Polyanin A.D., Zaitsev V.F. Handbook of Exact Solutions for Ordinary Differential Equations 1995, CRC, Boca Raton, FL.
22. The Mathworks Inc., Matlab R2009a user's guide, Natick, MA (2009).
23. FLUENT Inc., Fluent 6 user's manual, Lebanon, NH (2006).
24. FLUENT Inc., Gambit 2 user's manual, Lebanon, NH (2006).