For your company you need to mass produce 20-cm×10-cm heat sinks to dissipate heat quickly from an equipment. After considering several other parameters, you have short-listed two possible designs: A. 72 straight pin fins made of an alloy (thermal conductivity 240 W/m°c) that costs $9,000 per m³. Each pin is 4 cm long and 1-cm diameter. E518 5 $2.04 B. 64 straight rectangular fins made of another alloy (thermal conductivity 180 W/m°c) that costs $12,000 per m³. Each pin is 4 cm long and has 2-cmx1-cm cross-section. = 7.94 ; $6·14 The convection coefficient of the operating condition is approximated as 15 W/m².°c. Consider that the manufacturing cost is same for both designs but the material cost differs. Calculate and compare the cost and performance (in terms of heat transfer gains by the heat sinks) of the two heat sinks so that a decision can be made to select a design.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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For your company, you need to mass-produce 20-cm×10-cm heat sinks to dissipate heat quickly from an equipment. After considering several other parameters, you have shortlisted two possible designs:

A. 72 straight pin fins made of an alloy (thermal conductivity 240 W/m·°C) that costs $9,000 per m³. Each pin is 4 cm long and 1-cm diameter. Efficiency (ε₀) = 5.18; Cost = $2.04

B. 64 straight rectangular fins made of another alloy (thermal conductivity 180 W/m·°C) that costs $12,000 per m³. Each pin is 4 cm long and has a 2-cm×1-cm cross-section. Efficiency (ε₀) = 7.94; Cost = $6.14

The convection coefficient of the operating condition is approximated as 15 W/m²·°C. Consider that the manufacturing cost is the same for both designs, but the material cost differs. Calculate and compare the cost and performance (in terms of heat transfer gains by the heat sinks) of the two heat sinks so that a decision can be made to select a design.
Transcribed Image Text:For your company, you need to mass-produce 20-cm×10-cm heat sinks to dissipate heat quickly from an equipment. After considering several other parameters, you have shortlisted two possible designs: A. 72 straight pin fins made of an alloy (thermal conductivity 240 W/m·°C) that costs $9,000 per m³. Each pin is 4 cm long and 1-cm diameter. Efficiency (ε₀) = 5.18; Cost = $2.04 B. 64 straight rectangular fins made of another alloy (thermal conductivity 180 W/m·°C) that costs $12,000 per m³. Each pin is 4 cm long and has a 2-cm×1-cm cross-section. Efficiency (ε₀) = 7.94; Cost = $6.14 The convection coefficient of the operating condition is approximated as 15 W/m²·°C. Consider that the manufacturing cost is the same for both designs, but the material cost differs. Calculate and compare the cost and performance (in terms of heat transfer gains by the heat sinks) of the two heat sinks so that a decision can be made to select a design.
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