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Flexible Thermal Ground Planes with Thicknesses Below Quarter‐mm
Ryan Lewis, Ph.D.Shanshan Xu, Y.C. Lee, Ronggui Yang, Li‐Anne Liew
University of Colorado at [email protected]
1IMAPS ‐ Thermal 2014
Future smart phones are thin
http://pocketnow.com/2012/05/16/remember‐how‐thick‐phones‐used‐to‐be
0
5
10
15
20
25
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2004 2006 2008 2010 2012 2014 2016
Thickness (mm)
Future smartphones?
2IMAPS ‐ Thermal 2014
3mm flexible smartphone
Phones crack with 90‐150 lbs force
http://www.consumerreports.org/cro/news/2014/09/consumer‐reports‐tests‐iphone‐6‐bendgate/index.htm
Flexible by design!
3IMAPS ‐ Thermal 2014
Flexible 1‐mm smartphone as future microsystem
Chips (0.075mm)OLED; 0.05 mm
Glass or Polymer Cover; 0.05 mm
Anode/Solid State Electrolyte (0.150mm)
New Cathode/Solid State Electrolyte (0.4 mm)
Aluminum (0.05 mm)Polymer Case; 0.025 mm
PCB TGP- Thermal Ground Plane (0.20 mm)
> 4X increased storage density
Three enabling technologies being developed at CU‐Boulder• Flexible thermal ground planes• All solid state battery• Atomic layer deposition
4IMAPS ‐ Thermal 2014
Air Gap? Alternative Needed!
66 oC
45 oCNatural convectionon top and bottom sideswith Tair = 25oC
Air Gap
2 W/(4mm x 4mm)Polymer
Copper
Polymer
Total Thickness = 1 mm + Air Gap
For thin electronics:•Copper and Graphite + Air‐gap not good enough!
Temperature distributionon back surface, i.e. skin.
62 oC
43 oCTair = 25oC
Air Gap Polymer
Copper
Polymer
chip‐side Back‐side (i.e. skin surface)
200 μm Cu200 μm air
5IMAPS ‐ Thermal 2014
Copper Heat Spreader:Lowest temperature: 34.8°CHighest temperature: 40.2°CTemperature difference: 5.4°C
Vacuum-Enhanced Heat Spreader: Skin Temperatures Reduced
10cm x 5cm x 250 umCopper or Graphite vs. Vacuum-Enhanced Heat Spreader
2.5 Watt
Graphite Heat Spreader:Lowest temperature: 35.4 °CHighest temperature: 38.2 °CTemperature difference: 2.8 °C
Note: this 2.8oC could be increased substantially for 100um thin graphite.
Vacuum-Enhanced Copper Heat SpreaderLowest temperature:35.5 °CHighest temperature:36.7 °CTemperature difference: 1.2°C
Vacuum-Enhanced Graphite Heat SpreaderLowest temperature: 35.6 °C Highest temperature: 36.4 °CTemperature difference: 0.8 °C
Vacuum-Enhanced Heat Spreader – Design A
Vacuum-Enhanced Heat Spreader: Junction Temperatures?
Vacuum-Enhanced Heat Spreader – Design B
Max. Junction Temperature ~ 90 oCMax. Junction Temperature ~ 50 oC
•Vacuum‐enhanced heat spreading: a short term solution that is alwaysbetter than copper/graphite + air gap.•Trade‐off analysis for an optimum design required.•Best solution: flexible thermal ground planes.
7IMAPS ‐ Thermal 2014
Thermal Ground Plane
• Printed Circuit Board substrate
• Built‐in “vacuum” insulator
• Latent heat of phase‐change for heat removal
10 cm x 6 cm total area
8IMAPS ‐ Thermal 2014
Video
9IMAPS ‐ Thermal 2014
TGP and Copper
10IMAPS ‐ Thermal 2014
TGP working physics(2-D Heat Pipe or Vapor Chamber)
Vapor Core
Heat Source Heat SinkLiquid Returned thrua Wicking Structure
Evaporator Region Condenser Region
Sintered powder Micro‐pillars Woven mesh Grooved Channels
Y. Sungtaek Ju et al. I. J. Heat Mass Transfer, 60, 2013, 163‐169
M. Sigurdson, et al. I.J. Heat Mass Transfer, 62, 2013, 178‐183
C. Ding et al. JMEMS 19, 4, 2010
C. Ding et al. JMEMS 19, 4, 2010 11IMAPS ‐ Thermal 2014
TGP and GraphiteFlexible TGP Graphite
In‐plane thermal conductivity 1,000 – 4,000W/m‐K 400 ‐ 1,500 W/m‐K
Through‐plane thermal conductivity
<0.03‐100 W/m‐K 3 – 15 W/m‐K
Integration with PCB Can be part of PCB interconnects and vias
Separate piece.
12IMAPS – Thermal ATW 2014
Thermal vias
PCB‐TGP
3cm x 3cm
9.5 cm X 5 cm X 0.1cm
TGP Background at Colorado
Copper (measured)
w/o thermal resistances across Kapton; Keff > 3,000 W/mK
Keff > 2,000 W/mK
1‐mm thick, 20 cm x 5 cm footprint
•Flexible, manufacturable, but too thick, too high power 13IMAPS ‐ Thermal 2014
Quarter‐mm TGP Results• Carrying Heat (heat‐pipe)
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600
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1600
0 2 4 6 8 10
Effective Thermal
Cond
uctiv
ity (W
/m‐K)
input power(W)
keff=(Rcu/RTGP)kCu
0
5
10
15
20
0 2 4 6 8 10
thermal re
sistance(K/W)
input power(W)
Rcu ref
RTGPR=ΔT/Qout
8 mm 8mm
2.5cm
5cm
14IMAPS ‐ Thermal 2014
Vapor Core Design: Critical to Thin TGP
• Thermal resistance
Heat Source Heat Sink
Ra, vapor
Ra, meshRa, bottom
Ra, top
Rc, meshRc, bottom
Rc, vaporRc, top
Re, meshRe, bottom
Re, vaporRe, top
Rvap
Re,mesh
Re,bottomRc,bottomRc,mesh
Rvap
Re,mesh
Re,bottom
Rc,mesh
Rc,bottom
Thick TGP Thin TGP
vap
15IMAPS ‐ Thermal 2014
TGP Limited by 50um Vapor Core?• Vapor Core Effective Thermal
Conductivity:Fourier’s Law k=Q/(dT/dx)
‐Temperature Gradient proportional to pressure gradient dT/dx~dP/dx
‐Pressure gradient proportional to flow‐rate, which is proportional to heat applied dP/dx~m~Q
‐NOT A DIRECT FUNCTION OF POWER
keff
1.E+00
1.E+01
1.E+02
1.E+03
1.E+04
1.E+05
1.E+06
1 10 100 1000
k vap(W
/m‐K)
Vapor Core Thickness
Copper Ref 20 μm limit to “beat” Cu
1,500 W/m‐K 50 μm limit
16IMAPS ‐ Thermal 2014
TGP Limited by 50um Vapor Core? No!
• As a Heat Spreader– Distributed condenser
• Measurement of uniformity of skin temperature
• TGP= 5x lower ΔT than Cu at 6W
Heat in
Natural Convection
T1
T2
T3
0
5
10
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25
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0 2 4 6 8 10Tempe
rature differen
ce (°C)
Input power (W)
Skin temperature difference – Copper VS TGP
TGP
Cu
17IMAPS ‐ Thermal 2014
TGP’s Limit?
Heat Source Heat Sink
0
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10
12
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0 50 100 150
Heat Loa
d (W
)
Condensertemperature (oC)
Working area
Overall Thickness100 μm?
100 μm TGP limits model
18IMAPS ‐ Thermal 2014
Summary
• Copper + Air‐gap not enough!• Short‐term improvement via vacuum‐enabled heat spreaders: copper or graphite + vacuum
• Thermal ground planes!– PCB substrate– Built‐in insulator layers– Phase‐change heat transfer– <0.1mm TGP with Keff > 3,000 W/m‐K feasible.
• Quarter‐mm, demonstrated keff=1,400 W/m‐K.Prototypes are to be distributed.
19IMAPS ‐ Thermal 2014
Acknowledgements
This project was supported by a grant from the Intelligence Community Postdoctoral Research Fellowship Program through funding from the Office of the Director of National Intelligence. All statements of fact, opinion, or analysis expressed are those of the author and do not reflect the official positions or views of the Intelligence Community or any other U.S. Government agency. Nothing in the contents should be construed as asserting or implying U.S. Government authentication of information or Intelligence Community endorsement of the author’s views.
• TGP research at CU has been supported by:– University of Colorado– State of Colorado AIA:
award number: 2015‐3212– Defense Advanced Research Projects Agency
(DARPA)Thermal Ground Plane Program N6601‐08‐C‐2006
– Intelligence Community
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