To maintain the optimum performance of a computer chip, its surface temperature should not exceed 70°C while it generates 35 W heat. You want to design a heat sink with some pin fins (i.e., fins with a rectangular profile and circular cross-section) that can achieve that. This means that the finned surface should be able to transfer 35 W heat with a base temperature of 70°C. How many fins with 2 cm length and 2 mm diameter will need? The orignal surface area of the base is 25 cm². For your initial calculations, you can assume an operating condition where the ambient air temperature is 30°C the convection coefficient of air is 20 W/m².K, and the fin has a thermal conductivity of 225 W/m-K. [Hint: Think how you can use the overall surface effectiveness in this problem.]
To maintain the optimum performance of a computer chip, its surface temperature should not exceed 70°C while it generates 35 W heat. You want to design a heat sink with some pin fins (i.e., fins with a rectangular profile and circular cross-section) that can achieve that. This means that the finned surface should be able to transfer 35 W heat with a base temperature of 70°C. How many fins with 2 cm length and 2 mm diameter will need? The orignal surface area of the base is 25 cm². For your initial calculations, you can assume an operating condition where the ambient air temperature is 30°C the convection coefficient of air is 20 W/m².K, and the fin has a thermal conductivity of 225 W/m-K. [Hint: Think how you can use the overall surface effectiveness in this problem.]
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![To maintain the optimum performance of a computer chip, its surface temperature should not exceed
70°C while it generates 35 W heat. You want to design a heat sink with some pin fins (i.e., fins with a
rectangular profile and circular cross-section) that can achieve that. This means that the finned surface
should be able to transfer 35 W heat with a base temperature of 70°C. How many fins with 2 cm
length and 2 mm diameter will need? The orignal surface area of the base is 25 cm². For your initial
calculations, you can assume an operating condition where the ambient air temperature is 30°C the
convection coefficient of air is 20 W/m².K, and the fin has a thermal conductivity of 225 W/m.K. [Hint:
Think how you can use the overall surface effectiveness in this problem.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20000a63-5a8a-4b5e-adbd-85ecbf6c298b%2Ff7193fec-a69c-4331-9047-214aecf3fbf1%2Fu2wf8l9_processed.png&w=3840&q=75)
Transcribed Image Text:To maintain the optimum performance of a computer chip, its surface temperature should not exceed
70°C while it generates 35 W heat. You want to design a heat sink with some pin fins (i.e., fins with a
rectangular profile and circular cross-section) that can achieve that. This means that the finned surface
should be able to transfer 35 W heat with a base temperature of 70°C. How many fins with 2 cm
length and 2 mm diameter will need? The orignal surface area of the base is 25 cm². For your initial
calculations, you can assume an operating condition where the ambient air temperature is 30°C the
convection coefficient of air is 20 W/m².K, and the fin has a thermal conductivity of 225 W/m.K. [Hint:
Think how you can use the overall surface effectiveness in this problem.]
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