# The heat sink shown below has a square base of size 22 mm × 22 mm × 2 mm and consists of an array of

The heat sink shown below has a square base of size 22 mm ×
22 mm × 2 mm and consists of an array of square pin-fins, each of size 2 mm × 2
mm × 8 mm. The pin-fins are separated by a gap distance of 4 mm in each
direction. The heat sink is initially at a temperature of 28°C. Suppose a heat
flux input is prescribed on the bottom face of the heat sink. The heat flux is
of a symmetrical square wave pattern with a period of 60 s (equal time for each
half-cycle) and peak magnitudes transitioning from 800 W/m2 to 0 W/m2.
A fan forces air over all surfaces of the heat sink except for the bottom
»

The heat sink shown below has a square base of size 22 mm ×
22 mm × 2 mm and consists of an array of square pin-fins, each of size 2 mm × 2
mm × 8 mm. The pin-fins are separated by a gap distance of 4 mm in each
direction. The heat sink is initially at a temperature of 28°C. Suppose a heat
flux input is prescribed on the bottom face of the heat sink. The heat flux is
of a symmetrical square wave pattern with a period of 60 s (equal time for each
half-cycle) and peak magnitudes transitioning from 800 W/m2 to 0 W/m2.
A fan forces air over all surfaces of the heat sink except for the bottom face,
where the heat flux is prescribed. The surrounding air is 28°C with a film
coefficient of 30 W/(m2°C). Assume that the heat sink is made of
aluminum with thermal conductivity k = 170 W/(m K), density _ = 2800
kg/m3, specific heat c = 870 J/(kg K), Youngs modulus E = 70 GPa, Poissons
ratio _ = 0.3, and thermal expansion coefficient _ = 22 × 10_6
/°C. Study the transient thermal response of the heat sink during the first
three cycles.

»

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