Question

A square isothermal chip is of width w 5 mm on a side and is mounted in a substrate such that its side and back surfaces are well insulated, while the front surface is exposed to the flow of a coolant at To 15°C. From reliability considerations, the chip temperature must not exceed T 85°C. Coolant T, h Chip If the coolant is air and the corresponding convection 200 W/m2 K, what is the maximum coefficient is h allowable chip power? If the coolant is a dielectric liq- uid for which h 3000 W/m2 K, what is the maxi- mum allowable power?

Answer 1

a) 0.35 W

b) 5.25 W

Step-by-step explanation:

Given that

Width of the chip, W = 5 mm

The environment temperature, T(∞) = 15° C

Surface temperature, T(s) = 85° C

The initial convection heat coefficient, h1 = 200 W/m².K

The final convection heat coefficient, h2 = 3000 W/m².K

See attachment for solution