Flat Miniature Heat Pipes for Electronics Cooling: State of the Art, Experimental and Theoretical Analysis
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Flat Miniature Heat Pipes for Electronics Cooling: State of the Art, Experimental and Theoretical Analysis

Authors: M.C. Zaghdoudi, S. Maalej, J. Mansouri, M.B.H. Sassi

Abstract:

An experimental study is realized in order to verify the Mini Heat Pipe (MHP) concept for cooling high power dissipation electronic components and determines the potential advantages of constructing mini channels as an integrated part of a flat heat pipe. A Flat Mini Heat Pipe (FMHP) prototype including a capillary structure composed of parallel rectangular microchannels is manufactured and a filling apparatus is developed in order to charge the FMHP. The heat transfer improvement obtained by comparing the heat pipe thermal resistance to the heat conduction thermal resistance of a copper plate having the same dimensions as the tested FMHP is demonstrated for different heat input flux rates. Moreover, the heat transfer in the evaporator and condenser sections are analyzed, and heat transfer laws are proposed. In the theoretical part of this work, a detailed mathematical model of a FMHP with axial microchannels is developed in which the fluid flow is considered along with the heat and mass transfer processes during evaporation and condensation. The model is based on the equations for the mass, momentum and energy conservation, which are written for the evaporator, adiabatic, and condenser zones. The model, which permits to simulate several shapes of microchannels, can predict the maximum heat transfer capacity of FMHP, the optimal fluid mass, and the flow and thermal parameters along the FMHP. The comparison between experimental and model results shows the good ability of the numerical model to predict the axial temperature distribution along the FMHP.

Keywords: Electronics Cooling, Micro Heat Pipe, Mini Heat Pipe, Mini Heat Spreader, Capillary grooves.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1075140

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References:


[1] M. Groll, M. Schneider, V. Sartre, M.C. Zaghdoudi, and M. Lallemand, "Thermal Control of electronic equipment by heat pipes," Revue Générale de Thermique, vol. 37, no. 5, 1998, pp. 323-352.
[2] T.P. Cotter, "Principles and Prospects of Micro Heat Pipes," 5th International Heat Pipe Conference, Tsukuba, Japan, May 14-18, 1984, pp. 328-335.
[3] A. Itoh, and F. Polasek, "Development and Application of Micro Heat pipes," 7th International Heat Pipe Conference, Minsk, Russia, May 21- 25, 1990.
[4] Z. Ji, W. Caiyou, Y. Xiuqin, and Z. Zeqing, "Experimental Investigation of the Heat Transfer Characteristics of the Micro Heat Pipes," 8th International Heat Pipe Conference, Bejing, China, September 14-18, 1992, pp. 416-420.
[5] B.R. Babin, G.P. Peterson, and D. Wu, "Analysis and Testing of a Micro Heat Pipe During Steady-State," ASME/AIchE National Heat Transfer Conference, Paper No. 89-HT-17, Philadelphia, Pennsyvania, USA, August 5-8, 1989, 10p.
[6] B.R. Babin, G.P. Peterson, and D. Wu, "Steady-State Modeling and Testing of Micro Heat Pipe," Journal of Heat Transfer, vol. 112, 1990, pp. 595-601.
[7] D. Wu, and G.P. Peterson, "Investigation of the Transient Characteristics of a Micro Heat Pipe," Journal of Thermophysics and Heat Transfer, vol. 5, no. 2, 1991, pp. 129-134.
[8] D. Wu, G.P. Peterson, and W.S. Chang, "Transient Experimental Investigation of Micro Heat pipes," Journal of Thermophysics and Heat Transfer, vol. 5, no. 4, 1991, pp. 539-545.
[9] S.H. Moon, C.J. Kim, B.H. Kim, S.E. Hong, and J.S. Lee, "An Experimental Study on the Performance Limitation of a Micro Heat Pipe with Triangular Cross-Section," 10th International Heat Pipe Conference, Tokyo, Japan, September 22-26, 1999, pp. 15-19.
[10] G.P. Peterson, "Heat Pipes in the Thermal Control of Electronic Components," 3rd International Heat Pipe Symposium, September 12- 14, Tsukuba, Japan, 1988, pp. 2-12.
[11] G.P. Peterson, A.B. Duncan, A.S. Ahmed, A.K. Mallik, and M.H. Weichold, "Experimental Investigation of Micro Heat Pipes in Silicon Wafers," Micromechanical Sensors, Actuators, and Systems, DSC-Vol. 32, 1991, pp. 341-348.
[12] F.M. Gerner, "Micro Heat Pipes," AFSOR Final Report, No.S-210- 10MG-066, Wright-Patterson AFB, Dayton, OH, USA, 1990.
[13] A.K. Mallik, and G.P. Peterson, "On the Use of Micro Heat Pipes as an Integral Part of Semiconductors," 3rd ASME-JSME Thermal Engineering Joint Conference Proceeding, vol. 2, Reno, NV, USA, March 17-22, 1991, pp. 394-401.
[14] F.M. Gerner, B. Badran, J.P. Longtin, P. Ramadas, T.H. Henderson, and W.S. Chang, "Flow and Heat Transfer Limitations in Micro Heat Pipes," 28th National Heat Transfer Conference, August 9-12, San Diego, CA, USA, 1992, pp. 99-104.
[15] G.P. Peterson, A.B. Duncan, and M.H. Weichold, "Experimental Investigation of Micro Heat Pipes Fabricated in Silicon Wafers," Journal of Heat Transfer, vol. 115, 1993, pp. 751-756.
[16] F.M. Gerner, B. Badran, H.T. Henderson, and P. Ramadas, "Silicon- Water Micro Heat Pipes," Thermal Science Engineering, vol. 2, no.1, 1994, pp. 90-97.
[17] D. Shen, R. Mitchell, D. Dobranich, D. Adkins, and M. Tuck, "Micro Heat Spreader Enhanced Heat Transfer in MCMs," IEEE Multi-Chip- Module Conference, Santa Cruz, California, USA, January 31-February 2, 1995, pp. 189-194.
[18] D.A. Benson, D.R. Adkins, G.P. Peterson, R.T. Mitchell, M.R. Tuck, and D.W. Palmer, "Turning Silicon Substrates into Diamond: Micro Machining Heat Pipes," Advances in Design, Materials and Processes for Thermal Spreaders and Heat Sinks Workshop, Vail, CO, USA, April 19-21, 1996, pp. 19-21.
[19] D.A. Benson, D.R. Adkins, G.P. Peterson, R.T. Mitchell, M.R. Tuck, and D.W. Palmer, "Micro Machined Heat Pipes in Silicon MCM Substrates," Proceeding of IEEE Multichip Module Conference, Santa Cruz, CA, USA, November 6-7, 1996, pp. 127-129.
[20] D.A. Benson, R.T. Mitchell, M.R. Tuck, D.W. Palmer, and G.P. Peterson, "Ultrahigh-Capacity Micromachined Heat Spreaders," Microscale Thermophysical Engineering, vol. 2, no.1, 1998, pp. 21-30.
[21] B. Badran, F.M. Gerner, P. Ramadas, T. Henderson, and K.W. Baker, "Experimental Results for Low-temperature Silicon Micromachined Micro Heat Pipe Arrays Using Water and Methanol as Working Fluids," Experimental Heat Transfer, vol. 10, no. 4, 1997, pp. 253-272.
[22] B. Gromoll, "Micro cooling systems for high density packaging," Revue Générale de la Thermique, vol. 37, 1998, pp. 781-787.
[23] Y. Avenas, B. Mallet, C. Gillot, A. Bricard, C. Schaeffer, G. Poupon, and E. Fournier, "Thermal Spreaders for High Heat Flux Power Devices," 7th THERMINIC Workshop, Paris, France, September 24-27, 2001, pp. 59-631.
[24] Y. Avenas, M. Ivanova, N. Popova, C. Schaeffer, J.L. Schanen, and A. Bricard, "Thermal Analysis of Thermal Spreaders Used in Power Electronics Cooling," 37th Annual Meeting of the Industry-Applications- Society, Conference Record of the 2002 IEEE Industry Applications Conference, Pittsburgh, PA, USA, October 12-18, 2002, pp. 216-221.
[25] C. Gillot, Y. Avenas, N. Cezac, G. Poupon, C. Schaeffer, and E. Fournier, "Silicon Heat Pipes Used as Thermal Spreaders," 8th Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITHERM 2002), San Diego, USA, May 30- June 01, 2002, pp. 1052-1057.
[26] C. Gillot, Y. Avenas, N. Cezac, G. Poupon, C. Schaeffer, and E. Fournier, "Silicon Heat Pipes Used as Thermal Spreaders," IEEE Transactions on Components and Packaging Technologies, vol. 26, no. 2, 2003, pp. 332-339.
[27] C. Gillot, G. Poupon, Y. Avenas, C. Schaeffer, and E. Fournier, E., "Design and Fabrication of Flat Silicon Heat Pipes with Micro Capillary Grooves," Houille Blanche-Revue Internationale de l-Eau, no. 4, 2003, pp. 62-66.
[28] C. Gillot, A. Laï, M. Ivanova, Y. Avenas, C. Schaeffer, and E. Fournier, "Experimental Study of a Flat Silicon Heat Pipe with Microcapillary Grooves," 9th Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITHERM 2004), vol. 2, Las Vegas, NV, USA, June 1-4, 2004, pp. 47-51.
[29] M. Ivanova, C. Schaeffer, Y. Avenas, A. Laï, and C. Gillot, "Realization and Thermal Analysis of Silicon Thermal Spreaders used in power electronics cooling," IEEE International Conference on Industrial Technology, vol. 1-2, Maribor, Slovenia, December 10-12, 2003 pp. 1124-1129.
[30] M. Lee, M. Wong, and Y. Zohar, "Characterization of an Integrated Micro Heat pipe," Journal of Micromechanics and Microengineering, Vol.13, 2003, pp. 58-64.
[31] M. Lee, M. Wong, and Y. Zohar, "Integrated Micro Heat Pipe Fabrication Technology," Journal of Microelectromechanical Systems, vol. 12, no. 2, 2003, pp. 138-146.
[32] A. Laï, C. Gillot, M. Ivanova, Y. Avenas, C. Louis, C. Schaeffer, and E. Fournier, "Thermal Characterization of Flat Silicon Heat Pipes," 20th Annual IEEE Semiconductor Thermal Measurement and Management Symposium, San Jose, CA, USA, 9-11 March, 2004, pp. 21-25.
[33] A.K. Mallik, G.P. Peterson, and W. Weichold, "Construction Processes for Vapor Deposited Micro Heat Pipes," 10th Symposium on Electronic Materials Processing and Characteristics, Richardson, TX, USA, June 3-4, 1991.
[34] A.K. Mallik, G.P. Peterson, and M.H. Weichold, "On the Use of Micro Heat Pipes as an Integral Part of Semiconductor Devices," Journal of Electronic Packaging, vol. 114, 1992, pp. 436-442.
[35] M.H. Weichold, G.P. Peterson, and A. Mallik, "Vapor Deposited Micro Heat Pipes," U.S. Patent 5,179,043, 1993.
[36] G.P. Peterson, and A.K. Mallik, "Steady-State Investigation of Vapor Deposited Micro Heat Pipe Arrays," Journal of Electronic Packaging, vol. 117, no. 1, 1995, pp. 75-81.
[37] G.P. Peterson, and A.K. Mallik, "Transient Response of Vapor Deposited Micro Heat Pipe Arrays," Journal of Electronic Packaging, vol. 117, no. 1, 1995, pp. 82-87.
[38] D.R. Adkins, D.S. Shen, D.W. Palmer, and M.R. Tuck, "Silicon Heat Pipes for Cooling Electronics," Proceeding of 1st Annual Spacecraft Thermal Control Symposium, Albuquerque, NM, USA, November 16- 18, 1994, 11p.
[39] M. Le Berre, S. Launay, V. Sartre, and M. Lallemand, "Fabrication and Experimental Investigation of Silicon Micro Heat Pipes for Cooling Electronics," Journal of Micromechanics and Microengineering, vol. 13, no. 3, 2003, pp. 436-441.
[40] S. Launay, M. Le Berre, V. Sartre, P. Morfouli, J. Boussey, D. Barbier, and M. Lallemand, "Fabrication of Silicon Micro Heat Pipes for Cooling Electronics," Houille Blanche-Revue Internationale de l-Eau, no. 4, 2003, pp. 82-87.
[41] S. Launay, V. Sartre, and M. Lallemand, "Experimental Study on Silicon Micro Heat Pipe Arrays," Applied Thermal Engineering, vol. 24, 2004, pp. 233-243.
[42] M. Le Berre, G. Pandraud, and P. Morfouli, "The performance of Micro Heat Pipes Measured by Integrated Sensors," Journal of Micromechanical Microengineering, vol. 16, no. 5, 2006, pp. 1047- 1050.
[43] G. Pandraud, M. Le Berre, P. Morfouli, and M. Lallemand, "Influence of the fluid on the experimental performances of triangular silicon micro heat pipes," Journal of Electronic Packaging, vol. 128, no. 3, 2006, pp. 294-296.
[44] D.K. Harris, A. Palkar, G. Woncott, R. Dean, and F. Simionescu, "An Experimental Investigation in the Performance of Water-filled Silicon Microheat Pipe Arrays," Journal of Electronic Packaging, vol. 132, no. 2, paper No.021005, 2010, 8p.
[45] S. Kalahasti, and Y. Joshi, "Performance Characterization of a Novel Flat Plate Micro Heat Pipe Spreader," IEEE Transactions on Components and Packaging Technologies, vol. 25, no. 4, 2002, pp. 554-560.
[46] S.W. Kang, S.H. Tsai, and H.C. Chen, "Fabrication and Test of Radial Grooved Micro Heat Pipes," Applied Thermal Engineering, vol. 22, no. 14, 2002, pp. 1559-1568.
[47] S.W. Kang, and D. Huang, "Fabrication of Star Grooves and Rhombus Grooves Micro Heat Pipe," Journal of Micromechanics and Microengineering, vol. 12, 2002, pp. 525-531.
[48] J.A. Kang, X. Fu, W.T. Liu, and P. Dario, "Investigation on Microheat Pipe Array with Arteries," Journal of Thermophysics and Heat Transfer, vol. 24, no. 4, 2010, pp. 803-810.
[49] C. Perret, Y. Avenas, Ch. Gillot, J. Boussey, and C. Schaeffer, "Integrated Cooling Devices in Silicon Technology," The European Physical Journal Applied Physics, vol. 18, no. 2, 2002, pp. 115-123
[50] M. Ivanova, A. Laï, C. Gillot, N. Sillon, C. Schaeffer, F. Lefèvre, M. Lallemand, and E. Fournier, "Design, Fabrication and Test of Silicon Heat Pipes With Radial Microcapillary Grooves," 10th Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITHERM 2006), vol. 1-2, San Diago, USA, 30 May - 2 June, 2006, pp. 545-551.
[51] S. Murthy, Y. Joshi & W. Nakayama, "Orientation Independent Twophase Heat Spreaders for Space Constrained Applications," Microelectronics Journal, vol. 34, 2003, pp. 1187-1193.
[52] S. Murthy, Y. Joshi, and W. Nakayama, "Two-phase Heat Spreaders Utilizing Microfabricated Boiling Enhancement Structures," Heat Transfer Engineering, vol. 25, no. 1, 2004, pp. 25-36.
[53] R. Hopkins, A. Faghri, and D. Khrustalev, "Flat Miniature Heat Pipes with Micro Capillary Grooves," Journal of Heat Transfer, vol. 121, 1999, pp. 102-109.
[54] Y. Cao, M. Gao, J.E. Beam, and B. Donovan, "Experiments and Analyses of Flat Miniature Heat Pipes," Journal of Thermophysics and Heat Transfer, vol. 11, no. 2, 1997, pp. 158-164.
[55] Y. Cao, and M. Gao, "Wickless Network Heat Pipes for High Heat Flux Spreading Applications," International Journal of Heat and Mass Transfer, vol.45, 2002, pp. 2539-2547.
[56] L. Lin, R. Ponnappan, and J. Leland, "High Performance Miniature Heat Pipe," International Journal of Heat and Mass Transfer, vol. 45, 2002, pp. 3131-3142.
[57] M. Gao, and Y. Cao, "Flat and U-shaped Heat Spreaders for High- Power Electronics," Heat Transfer Engineering, vol. 24, 2003, pp. 57- 65.
[58] J.C. Lin, J.C. Wu, C.T. Yeh, and C.Y. Yang, C.Y., "Fabrication and Performance Analysis of Metallic Micro Heat Spreader for CPU," 13th International Heat Pipe Conference, Shangai, China, September 21-25, 2004, pp. 151-155.
[59] M.C. Zaghdoudi, C. Tantolin, C. Godet, "Experimental and Theoretical Analysis of Enhanced Flat Miniature Heat Pipes," Journal of Thermophysics and Heat Transfer, vol. 18, no. 4, 2004, pp. 430-447.
[60] F. Lefèvre, R. Rullière, G. Pandraud, and M. Lallemand, "Prediction of the Maximum Heat Transfer Capability of Two-Phase Heat Spreaders- Experimental Validation," International Journal of Heat and Mass Transfer, vol. 51, no. 15-16, 2008, pp. 4083-4094.
[61] S.H. Moon, G. Hwang, S.C. Ko, and Y.T. Kim, "Operating Performance of Micro Heat Pipe for Thin Electronic Packaging," 7th International Heat Pipe Symposium, Jeju Island, South Korea, October 12-16, 2003, pp. 109-114.
[62] S.H. Moon, G. Hwang, S.C. Ko, & Y.T. Kim, "Experimental Study on the Thermal Performance of Micro-Heat Pipe with Cross-section of Polygon," Microelectronics Reliability, vol. 44, 2004, pp. 315-321.
[63] C. Romestant, G. Burban, and A. Alexandre, "Heat Pipe Application in Thermal-Engine Car Air Conditioning," 13th International Heat Pipe Conference, Shanghai, China, September 21-25, 2004, pp. 196-201.
[64] W. Xiaowu, T. Yong, and C. Ping, "Investigation into Performance of a Heat Pipe with Micro Grooves Fabricated by Extrusion-Ploughing Process," Energy Conversion and Management, vol. 50, 2009, pp. 1384-1388.
[65] M. Schneider, M. Yoshida, and M. Groll, M., "Investigation of Interconnected Mini Heat Pipe Arrays For Micro Electronics Cooling," 11th International Heat Pipe conference, Musachinoshi-Tokyo, Japan, September 12-16, 1999, 6p.
[66] M. Schneider, M. Yoshida, and M. Groll, "Optical Investigation of Mini Heat Pipe Arrays With Sharp Angled Triangular Grooves," Advances in Electronic Packaging, EEP-Vol. 26-1 and 26-2, 1999, pp. 1965-1969.
[67] M. Schneider, M. Yoshida, and M. Groll, "Cooling of Electronic Components By Mini Heat Pipe Arrays," 15th National Heat and Mass transfer Conference and 4th ISHMT/ASME Heat and Mass Transfer Conference, Pune, India, January 12-14, 2000, 8p.
[68] H.T. Chien, D.S. Lee, P.P. Ding, S.L. Chiu, and P.H. Chen, "Diskshaped Miniature Heat Pipe (DMHP) with Radiating Micro Grooves for a TO Can Laser Diode Package," IEEE Transactions on Components and Packaging Technologies, vol. 26, no. 3, 2003, pp. 569-574.
[69] H.Z. Tao, H. Zhang, J. Zhuang, and J.W. Bowmans, "Experimental Study of Partially Flattened Axial Grooved Heat Pipes," Applied Thermal Engineering, vol. 28, 2008, pp. 1699-1710.
[70] H.T. Lim, S.H. Kim, H.D. Im, K.H. Oh, and S.H. Jeong, "Fabrication and Evaluation of a Copper Flat Micro Heat Pipe Working under Adverse-Gravity Orientation," Journal of Micromechanical Microengineering, vol. 18, 2008, 8p.
[71] M. Murakami, T. Ogushi, Y. Sakurai, H. Masumuto, M. Furukawa, and R. Imai, "Heat Pipe Heat Sink," 6th International Heat Pipe Conference, Grenoble, France, May 25-29, 1987, pp. 257-261.
[72] D. Plesh, W. Bier, and D. Seidel, "Miniature Heat Pipes for Heat Removal from Microelectronic Circuits," Micromechanical Sensors, Actuators and Systems, vol. 32, 1991, pp. 303-313.
[73] J.Y. Sun, and C.Y. Wang, "The Development of Flat Heat Pipes for Electronic Cooling," 4th International Heat Pipe Symposium, Tsukuba, Japan, May 16-18, 1994, pp. 99-105.
[74] T. Ogushi, and G. Yamanaka, "Heat Transport Capability of Grooves Heat Pipes," 5th International Heat Pipe Conference, pp. 74-79, Tsukuba, Japan, May 14-18, 1994, pp. 74-79.
[75] P. Soo Yong, and B. Joon Hong, "Thermal Performance of a Grooved Flat-Strip Heat Pipe with Multiple Source Locations," 7th International Heat Pipe Symposium, Jeju Island, South Korea, October 12-16, 2003, pp. 157-162.
[76] L. Zhang, T. Ma, Z.F. Zhang, and X. Ge, "Experimental Investigation on Thermal Performance of Flat Miniature Heat Pipes with Axial Grooves," 13th International Heat Pipe Conference, Shangai, China, September 21-25, 2004, pp. 206-210.
[77] N. Popova, C. Schaeffer, C. Sarno, S. Parbaud, and G. Kapelski, G., "Thermal management for stacked 3D microelectronic packages," 36th Annual IEEE Power Electronic Specialists Conference (PESC 2005), Recife, Brazil, June 12-16, 2005, pp. 1761-1766.
[78] N. Popova, C. Schaeffer, Y. Avenas, G. Kapelski, "Fabrication and Experimental Investigation of Innovative Sintered Very Thin Copper Heat Pipes for Electronics Applications, 37th IEEE Power Electronics Specialists Conference (PESC 2006), vol. 1-7, Cheju Island, South Korea, June 18-22, 2006, pp. 1652-1656.
[79] M. Zhang, Z. Liu, & G. Ma, "The experimental and numerical investigation of a grooved vapo chamber," Applied Thermal Engineering, vol. 29, 2009, pp. 422-430.
[80] M.C. Zaghdoudi, & C. Sarno, "Investigation on The Effects of Body Force Environment on Flat Heat Pipes," Journal of Thermophysics and Heat Transfer, vol. 15, no. 4, 2001, pp. 384-394.
[81] A. Faghri, Heat pipe science and technology (1st edition), Taylor & Francis, ISBN 1-56032-383-3, United States of America, 1995.
[82] G.P. Peterson, An introduction to heat pipes - Modelling, testing and applications (1st edition), John Wiley, United Stated of America, ISBM 0-471-30512-X, 1994.
[83] A.B. Duncan, and G.P. Peterson, "Charge Optimization for a Triangular-Shaped Etched Micro Heat Pipe," Journal of Thermophysics, vol. 9, no. 2, 1994, pp. 365-368.
[84] D. Khrustlev, A. Faghri, "Thermal Analysis of a Micro Heat Pipe," Journal of Heat Transfer, vol. 116, 1994, pp. 189-198.
[85] J.P. Longtin, B. Badran, and F.M. Gerner, "A one-dimensional model of a micro heat pipe during steady-state operation," Journal of Heat Transfer, vol. 116, 1994, pp. 709-715.
[86] G.P. Peterson, and H.B. Ma, "Theoretical Analysis of the Maximum Heat Transport in Triangular Grooves: a Study of Idealized Micro Heat Pipes, Journal of Heat Transfer, vol. 118, 1996, pp. 731-739.
[87] M.C. Zaghdoudi, V. Sartre, M. Lallemand, M., "Theoretical Investigation of Micro Heat Pipes," 10th International Heat Pipe Conference, Stuttgart, Germany, September 22-26, 1997, 6p.
[88] J.M. Ha, and G.P. Peterson, "The Heat Transport Capacity of Micro Heat Pipes," Journal of Heat Transfer, vol. 120, 1998, pp. 1064-1071.
[89] H.B. Ma, & G.P. Peterson, G.P., "The Minimum Meniscus Radius and Capillary Heat Transport Limit in Micro Heat Pipes," Journal of Heat Transfer, vol. 120, 1998, pp. 227-233.
[90] C.B. Sobhan, H. Xiaoy Ang, and L.C. Yu, "Investigations on transient and steady-state performance of a micro heat pipe," Journal of Thermophysics and Heat Transfer, vol. 14, no. 1, 2000, pp. 161-169.
[91] K.H. Do, S.J. Kim, and J.K. Seo, "Mathematical Modeling and Thermal Optimization of a Micro Heat Pipe with Curved Triangular Grooves," 7th International Heat Pipe Symposium, Jeju Island, South Korea, October 12-16, 2003, pp.325-331.
[92] B. Suman, S. De, and S. DasGupta, "A Model of the Capillary Limit of a Micro Heat Pipe and Prediction of the Dry-out Length," International Journal of Heat and Fluid Flow, vol. 26, 2005, pp. 495-505.
[93] B. Suman, and P. Kumar, "An Analytical Model for Fluid Flow and Heat Transfer in a Micro-Heat Pipe of Polygonal Shape," International Journal of Heat and Mass Transfer, Vol.48, 2005, pp. 4498-4509.
[94] Y.M. Hung, and Q. Seng, "Effects of Geometric Design on Thermal Performance of Star-groove Micro-Heat Pipes," International Journal of Heat and Mass Transfer, vol. 54, 2011, pp. 1198-1209.
[95] P.C. Wayner, Y.K. Kao, and L.V. Lacroix, "The Interline Heat Transfer Coefficient of an Evaporating Wetting Film," International Journal of Heat and Mass Transfer, vol.19, no.2, 1976, pp. 487-492.
[96] Y. Kamotani, Y., "Evaporator Film Coefficients of Grooved Heat Pipes," 3rd International Heat Pipe Conference, Palo Alto, California, USA, September 22-24, 1978, 3p.
[97] F.W. Holm, and S.P. Goplen, "Heat Transfer in the Meniscus Thin Film Transition Region," Journal of Heat Transfer, vol. 101, 1979, pp. 543- 547.
[98] P.C. Stephan, C.A. B├╝sse, "Analysis of the Heat Transfer Coefficient of Grooved Heat Pipe Evaporator Walls," International Journal of Heat and Mass Transfer, vol. 35, no. 2, 1992, pp. 383-391.
[99] L.W. Swanson, and G.P. Peterson, "Evaporating Extended Meniscus in a V-shaped Channel," Journal of Thermophysics and Heat Transfer, vol. 8, no. 1, 1994, pp. 172-180.
[100]D. Khrustlev, and A. Faghri, "Thermal Characteristics of Conventional and Flat Miniature Axially Grooved Heat Pipes," Journal of Heat Transfer, vol. 117, 1995, pp. 1048-1054.
[101]H.B. Ma, and G.P. Peterson, Temperature Variation and Heat Transfer in Triangular Grooves with an Evaporating Film, Journal of Thermophysics and Heat Transfer, vol. 11, no.1, 1997, pp. 90-97.
[102]A. Faghri, and D. Khrustalev, "Advances in modeling of enhanced flat miniature heat pipes with capillary grooves," Journal of Enhanced Heat Transfer, vol. 4, no. 2, 1997, pp. 99-109.
[103]D. Khrustlev, and A. Faghri, A., "Coupled Liquid and Vapor Flow in Miniature Passages with Micro Grooves," Journal of Heat Transfer, vol. 121, 1999, pp. 729-733.
[104]F. Lefèvre, R. Revellin, and M. Lallemand, "Theoretical Analysis of Two-Phase Heat Spreaders with Different Cross-section Micro Grooves," 7th International Heat Pipe Symposium, Jeju Island, South Korea, October 12-16, 2003, pp. 97-102.
[105]S. Launay, V. Sartre, and M. Lallemand, "Hydrodynamic and Thermal Study of a Water-Filled Micro Heat Pipe Array," Journal of Thermophysics and Heat Transfer, vol. 18, no. 3, 2004, pp. 358-363.
[106]S. Tzanova, M. Ivanova, Y. Avenas, and C. Schaeffer, "Analytical Investigation of Flat Silicon Micro Heat Spreaders," Industry Applications Conference, 39th IAS Annual Meeting Conference Record of the 2004 IEEE, vol. 4, October 3-7, 2004, pp. 2296-2302.
[107]G. Angelov, S. Tzanova, Y. Avenas, M. Ivanova, T. Takov, C. Schaeffer, and L. Kamenova, "Modeling of Heat Spreaders for Cooling Power and Mobile Electronic Devices," 36th Power Electronics Specialists Conference (PESC 2005), Recife, Brazil, June 12-15, 2005, pp. 1080-1086.
[108]P.Z. Shi, K.M. Chua, S.C.K. Wong, and Y.M. Tan, "Design and Performance Optimization of Miniature Heat Pipe in LTCC," Journal of Physics: Conference Series, vol. 34, 2006, pp. 142-147.
[109]K.H. Do, S.J. Kim, and S.V. Garimella, "A Mathematical Model for Analyzing the Thermal Characteristics of a Flat Micro Heat Pipe with a Grooved Wick," International Journal Heat and Mass Transfer, vol.51, no.19-20, 2008, pp. 4637-4650.
[110]K.H. Do, and S.P. Jang, "Effect of Nanofluids on the Thermal Performance of a Flat Micro Heat Pipe with a Rectangular Grooved Wick," International Journal of Heat and Mass Transfer, vol.53, 2010, pp. 2183-2192.
[111]Y. Wang, and K. Vafai, "Transient Characterization of Flat Plate Heat Pipes During Startup and Shutdown operations," International journal of Heat and Mass Transfer, vol. 43, 2000, pp. 2641-2655.
[112]U. Vadakkan, J.Y. Murthy, S.V. Garimella, "Transport in Flat Heat Pipes at High Fluxes from Multiple Discrete Sources," Journal of Heat Transfer, vol. 126, 2004, pp. 347-354.
[113]L. Kamenova, Y. Avenas, S. Tzanova, N. Popova, and C. Schaeffer, "2D Numerical Modeling of the Thermal and Hydraulic Performances of a Very Thin Sintered Powder Copper Flat Heat pipe," 37th IEEE Power Electronics Specialist Conference (PESC 2006), Cheju Island, South Korea, June 18-22, 2006, pp. 1130-1136.
[114]F. Lefèvre, and M. Lallemand, "Coupled Thermal Hydrodnamic Models of Flat Micro Heat Pipes for Cooling of Multiple Electronic Components," International Journal of Heat and Mass Transfer, vol. 49, 2006, pp. 1375-1383.
[115]Y. Koito, H. Imura, M. Mochizuki, Y. Saito, & S. Torii, "Numerical Analysis and Experimental Verification on Thermal Fluid Phenomena in a Vapor Chamber," Applied Thermal Engineering, vol. 26, 2006, pp. 1669-1676.
[116]M.S. El-Genk, H.H. Saber, and J.L. Parker, "Efficient Spreaders for Cooling High-Power Computer Chips," Applied Thermal Engineering, vol. 27, 2007, pp. 1072-1088.
[117]R. Sonan, S. Harmand, J. Pelle, D. Leger, and M. Fakes, "Transient Thermal and hydrodynamic Model of Flat Heat Pipe for the Cooling of Electronics Components," International Journal of Heat and Mass transfer, vol. 51, no. 25-26, 2008, pp. 6006-6017.
[118]B. Xiao, & A. Faghri, "A Three-Dimensional Thermal-Fluid Analysis of Flat Heat Pipes," International Journal Heat and Mass Transfer, Vol.51, 2008, pp. 3113-3126.
[119]R. Ranjan, J.Y. Murthy, S.V. Garimella, and U. Vadakkan, "A Numerical Model for Transport in Flat Heat Pipes Considering Wick Microstructure Effects," International Journal of Heat and Mass Transfer, vol. 54, 2011, pp. 153-168.