# IMECE03_ninaboiadjieva - Thermal Model of a Thinned-Die...

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Thermal Model of a Thinned-Die Cooling System N. Boiadjieva … NPTest, Inc P. Koev… MIT, Dept. of Mathematics

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Outline Optical Probing and Cooling Problem Statement System Characterization Mathematical Model Development Conclusions
Clamp Cooling system Load Board Die Carrier Tapered Final Lens Element Transparent Diamond Window (Heat Sink) Detector Detector Stimulus

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Optical Probing
Cooling System setup DUT Heat Exchanger Heat Spreader, Diamond window Clamp Lens

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Cooling System X-Section Transparent Diamond k=1800 W/m-K Device clamp Thermocouple, T B Thermocouple, T HS Lens Copper k=374 W/m-K
Thermal System Characterization T DUT =f( W attage, air Flow rate, cooling air T AIR ) Heat Spreader Thermocouple, T DIA during characterization only Diamond window Thermocouple, T B Heat Exchanger Thermocouple, T HS DUT Center line Package Heat Exchanger Cooling air, T AIR Flow rate

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Problem Statement Develop a mathematical model so that both
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## This note was uploaded on 11/11/2011 for the course MATH 112 taught by Professor Jarvis during the Winter '08 term at BYU.

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IMECE03_ninaboiadjieva - Thermal Model of a Thinned-Die...

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