Computer processors work best when they are kept cold. You are interested in determining the cost feasibility of maintaining the processor at a temperature of -17.7C. Assume that the operation of the chip itself generates 10W of power and the processor is 5.1cm x 10.2 cm x 15.2 cm, with all sides exposed to air at 21.1 C. The air has a convective heat transfer coefficient of 10W/m2-K. The processor surface has an emissivity of 0.7. You are asked to size the refrigeration system to maintain the temperature of the processor. a. What is the load (in W) that your refrigeration system must be able to remove to maintain the processor at the steady-state temperature b. The coefficient of performance (COP) is defined as the ratio of the amount of refrigerant required to the amount of input power required. If the COP=3.5, what is the power required for the refrigeration unit. c. If the cost of electricity is 12 cents/kW-hr, estimate the annual cost of the refrigeration system, assuming that the computer is never shut off.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A,B heat and mass transfer problem

2.
Computer processors work best when they are kept cold. You are interested in determining the
cost feasibility of maintaining the processor at a temperature of -17.7C. Assume that the
operation of the chip itself generates 10W of power and the processor is 5.1cm x 10.2 cm x 15.2
cm, with all sides exposed to air at 21.1 C. The air has a convective heat transfer coefficient of
10W/m2-K. The processor surface has an emissivity of 0.7. You are asked to size the refrigeration
system to maintain the temperature of the processor.
a. What is the load (in W) that your refrigeration system must be able to remove to maintain the
processor at the steady-state temperature
b. The coefficient of performance (COP) is defined as the ratio of the amount of refrigerant
required to the amount of input power required. If the COP=3.5, what is the power required
for the refrigeration unit.
c. If the cost of electricity is 12 cents/kW-hr, estimate the annual cost of the refrigeration system,
assuming that the computer is never shut off.
Transcribed Image Text:2. Computer processors work best when they are kept cold. You are interested in determining the cost feasibility of maintaining the processor at a temperature of -17.7C. Assume that the operation of the chip itself generates 10W of power and the processor is 5.1cm x 10.2 cm x 15.2 cm, with all sides exposed to air at 21.1 C. The air has a convective heat transfer coefficient of 10W/m2-K. The processor surface has an emissivity of 0.7. You are asked to size the refrigeration system to maintain the temperature of the processor. a. What is the load (in W) that your refrigeration system must be able to remove to maintain the processor at the steady-state temperature b. The coefficient of performance (COP) is defined as the ratio of the amount of refrigerant required to the amount of input power required. If the COP=3.5, what is the power required for the refrigeration unit. c. If the cost of electricity is 12 cents/kW-hr, estimate the annual cost of the refrigeration system, assuming that the computer is never shut off.
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