The exposed surface of a power amplifier for an earth satellite receiver of area 130 m m x 130mm has a diffuse, gray, opaque coating with an emissivity of 0.5. For typical amplifier operating conditions, the surface temperature is 58 ∘ C under the following environmental conditions: air temperature, T ∞ = 27 ∘ C ; sky temperature, T s k y = 20 ∘ C ; convection coefficient, 15 W/m 2 ⋅ K ; and solar irradiation, G s = 800 W/m 2 . (a) For the above conditions, determine the electrical power being generated within the amplifier. (b) It is desired to reduce the surface temperature by applying one of the diffuse coatings (A, B, C) shown as follows. Which coating will result in the coolest surface temperature for the same amplifier operating and environmental conditions?
The exposed surface of a power amplifier for an earth satellite receiver of area 130 m m x 130mm has a diffuse, gray, opaque coating with an emissivity of 0.5. For typical amplifier operating conditions, the surface temperature is 58 ∘ C under the following environmental conditions: air temperature, T ∞ = 27 ∘ C ; sky temperature, T s k y = 20 ∘ C ; convection coefficient, 15 W/m 2 ⋅ K ; and solar irradiation, G s = 800 W/m 2 . (a) For the above conditions, determine the electrical power being generated within the amplifier. (b) It is desired to reduce the surface temperature by applying one of the diffuse coatings (A, B, C) shown as follows. Which coating will result in the coolest surface temperature for the same amplifier operating and environmental conditions?
Solution Summary: The author explains that the electrical power generated within the amplifier is 4.88 W. The coating results in coolest surface temperature.
The exposed surface of a power amplifier for an earth satellite receiver of area
130
m
m
x 130mm
has a diffuse, gray, opaque coating with an emissivity of 0.5. For typical amplifier operating conditions, the surface temperature is
58
∘
C
under the following environmental conditions: air temperature,
T
∞
=
27
∘
C
; sky temperature,
T
s
k
y
=
20
∘
C
; convection coefficient,
15 W/m
2
⋅
K
; and solar irradiation,
G
s
= 800 W/m
2
. (a) For the above conditions, determine the electrical power being generated within the amplifier. (b) It is desired to reduce the surface temperature by applying one of the diffuse coatings (A, B, C) shown as follows.
Which coating will result in the coolest surface temperature for the same amplifier operating and environmental conditions?
€ = 0.7
R = 50 cm
T = 500°C
Consider a furnace with a spherical cavity (R = 50 cm). If the walls of the cavity have an emissivity of 0.7 and a temperature
of 500 ˚C, calculate the total emmisive power, E, inside the cavity.
You can neglect radiation at the bottom of the plate; the bottom side of the plate has water flowing underneath it. Often, when dealing with liquids (rather than gases), one can neglect radiation because heat transfer due to convection is so much larger (liquids tend to have higher convection coefficient values than gases).
An electrical cable with 20 mm in diameter and emissivity equal to 0.85 is installed inside a conduit whose inner surface and air in the its interior is at 30oC. The electrical resistivity of the cable, ρe (µΩ.m), is a function of its temperature, given by ρe=a[1+b(T-T0)], where a=0.0171 µΩ.m, b=0.00396 K-1 and T0= 25oC.
The natural convection heat transfer coefficient is expressed by the relation h=cD-0.25(T-Tꚙ)0.25where c=1.21 W/(m1.75.K1.25) and D is the cable diameter.
Electrical resistance per unit of cable length is R’e=ρe/Ac (Ac is the cross-sectional area).
(a) For steady state operating conditions, estimate the maximum current that can be dissipated in the wire so that its temperature does not exceed 65oC;
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