23) Consider a rectangular hot plate shown below. U₁ = 3 m/s T₁ = 25°C Tb = 80°C Kin=200 W/mK Kair= 0.025 W/mK Vair = 1.3.10-sm² Pr=0.72 S # of Fins H[m] W = 0.05 m t[m] 1110 ) Design a heatsink with the following constraints. The total volume V of the fins on the heatsink must be 0.00002 m². The spacing between the fins b must be greater than 1 μm. The fin height H should not exceed 5 cm. The fin thickness must be greater than 200 μm. e parameters of the designed heatsink below. L = 0.10 m Average HTC at optimum conditions U₂, Ta Total Q at optimum conditions

Elements Of Electromagnetics
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Q3) Consider a rectangular hot plate shown below.
U₂ = 3 m/s
T₂ = 25°C
Tb = 80°C
Kfin = 200 W/mK
Kair= 0.025 W/mK
m²
Vair 1.3 10-5
Pr=0.72
# of Fins
H [m]
W = 0.05 m
t[m]
111
a) Design a heatsink with the following constraints.
The total volume V of the fins on the heatsink must be 0.00002 m³.
The spacing between the fins b must be greater than 1 μm.
The fin height H should not exceed 5 cm.
The fin thickness must be greater than 200 μm.
e parameters of the designed heatsink below.
L = 0.10 m
Average HTC
at optimum
conditions
U₂, Ta
Total Q
at optimum
conditions
b) Design a heat sink for the same hot surface but with air flow blowing along the shortest
of the surface as shown below. Keep the same constraints as in part a) and fill in the Table
V.
Transcribed Image Text:Q3) Consider a rectangular hot plate shown below. U₂ = 3 m/s T₂ = 25°C Tb = 80°C Kfin = 200 W/mK Kair= 0.025 W/mK m² Vair 1.3 10-5 Pr=0.72 # of Fins H [m] W = 0.05 m t[m] 111 a) Design a heatsink with the following constraints. The total volume V of the fins on the heatsink must be 0.00002 m³. The spacing between the fins b must be greater than 1 μm. The fin height H should not exceed 5 cm. The fin thickness must be greater than 200 μm. e parameters of the designed heatsink below. L = 0.10 m Average HTC at optimum conditions U₂, Ta Total Q at optimum conditions b) Design a heat sink for the same hot surface but with air flow blowing along the shortest of the surface as shown below. Keep the same constraints as in part a) and fill in the Table V.
U₂ = 3 m/s
Ta = 25°C
Tb = 80°C
Kfin = 200 W/mK
Kair = 0.025 W/mK
Vair 1.3 10-5
Pr=0.72
# of Fins
m²
S
H [m]
L = 0.10 m
t[m]
W = 0.05 m
Average HTC
at optimum
conditions
U₂, Ta
Total Q
at optimum
conditions
c) Which flow orientation results in better cooling performance ? Explain based on your
sults in part a) and b)
Transcribed Image Text:U₂ = 3 m/s Ta = 25°C Tb = 80°C Kfin = 200 W/mK Kair = 0.025 W/mK Vair 1.3 10-5 Pr=0.72 # of Fins m² S H [m] L = 0.10 m t[m] W = 0.05 m Average HTC at optimum conditions U₂, Ta Total Q at optimum conditions c) Which flow orientation results in better cooling performance ? Explain based on your sults in part a) and b)
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