An instrument used to study the ozone depletion near the poles is placed on a large 2 cm thick aluminium plate. To simplify this analysis the instrument can be thought of as a stainless steel plate 1 cm thick with a 10 cm x 10 cm square base as shown. The interface roughness of the stainless steel and aluminium is between 20 and 30 µm. Four screws at the corners provide a fastening that exerts an average pressure of 7 MPa. The top and sides of the instrument are thermally insulated. An integrated circuit placed between the insulation and in perfect contact with the upper surface of the stainless steel plate generates heat. If this heat is to be transferred to the lower surface of the aluminium estimated to be at a temperature of 0oC, determine the maximum allowable dissipation rate from the circuit if its temperature is not to exceed 40oC. kss = 14.4 W/m K, kal = 164 W/m K, contact resistance at 7 MPa = 0.5 m2 K/kW
An instrument used to study the ozone depletion near the poles is placed on a large 2 cm
thick aluminium plate. To simplify this analysis the instrument can be thought of as a
stainless steel plate 1 cm thick with a 10 cm x 10 cm square base as shown. The interface
roughness of the stainless steel and aluminium is between 20 and 30 µm. Four screws at the
corners provide a fastening that exerts an average pressure of 7 MPa. The top and sides of
the instrument are thermally insulated. An integrated circuit placed between the insulation
and in perfect contact with the upper surface of the stainless steel plate generates heat. If
this heat is to be transferred to the lower surface of the aluminium estimated to be at a
temperature of 0oC, determine the maximum allowable dissipation rate from the circuit if its
temperature is not to exceed 40oC. kss = 14.4 W/m K, kal = 164 W/m K, contact resistance at 7
MPa = 0.5 m2 K/kW
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