Modeling, Simulation and Analysis of Temperature Distribution in a
Heat Sink
Mirosław Gierczak, Piotr Markowski and Andrzej Dziedzic
Faculty of Microsystem Electronics and Photonics, Wrocław University of Technology, Poland
Abstract: Modeling, simulation and analyses of temperature distribution in a heat-sink are presented
in this paper. Laboratory model of processor - source of heat was designed and realized. Four
different heaters were fabricated as thick-film resistors screen-printed on alumina substrate.
Temperature distribution was monitored using experimental measurements as well as numerical
simulations. A measurement system consists of measuring table with structure (heater), heat-sink and
two pyrometers, DC power supplies, data acquisition unit and computer. The experimental results
were comparable to the results of numerical simulations carried out for similar processor/heat-sink
system. This confirm the correctness of the used simulation model. On this basis the numerical
analyses were extended - the influence of various factors (such as shape and size of the heat-sink, the
presence of the cooling fan) on the heat distribution in the system was investigated. As a result the
information useful in optimization process of the heat-sink was collected.
1. INTRODUCTION
The paper focus on measurements as well as the
modeling of thermal effects occurring on the
processor/heat-sink interface. It is part of a project
aimed at increasing the efficiency of high-speed
processors using information about a thermal open
system consisting of an integrated circuit module and
its ambient. In order to investigate the thermal effect
on processor and heat sink (a problem known in the
literature [1,2]) the laboratory model was prepared.
(a) (b) (c)
Fig. 1. Fabricated resistors (heaters) on alumina substrates
(a), the measuring set-up (b), aluminum heat-sink (c).
(a) (b)
Fig. 2. Measurement points: a) on the heater; b) on the
heater / heat-sink system.
Thick-film resistive heaters were screen-printed on
alumina substrates (the solution known from the
literature [3,4] – Fig. 1a. Four different structures
based on different pastes were tested (Tab. 1). The
temperature distribution in the processor (thick-film
heater) / heat-sink system was investigated.
Table 1. Parameters of resistors (thick-film heaters).
Structure Paste Heater resistance
1 Heraeus R490A 1.42 Ω
2 Heraeus R400A-10 3.8 kΩ
3 ESL PTC-2611-ISP 95.48 Ω
4 DuPont 2021 208.48 Ω
Thick-film heaters (they simulate processor) were
screen-printed as 30.5x26 mm
2
rectangles on alumina
substrate (37.5x32x0.26 mm
3
). Then the effectiveness
of heaters was investigated. The tested heater was
powered by a constant power and a temperature
changes in several specific points of the system were
monitored. These points are indicated in Fig. 2 – for
the system without (Fig. 2a) and with (Fig. 2b) the
heat-sink. An aluminum plate (100x100x10 cm
3
) was
used as a heat-sink. The heater was mounted on four
needle probes (heater-side down) – Fig 1b. On the top
(alumina-side of the heater) the thermal grease and the
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