The defroster of an automobile functions by discharging warm air on the inner surface of the windshield. To prevent condensation of water vapor on the surface, the temperature of the air and the surface convection coefficient (Tih) must be large enough to maintain a surface temperature T, that is at least as high as the dewpoint (Ti≥ Tap). Step 1 00,01 ho kg = Too,i hi Tso Consider a windshield of length L = 800 mm and thickness t = 6 mm and driving conditions for which the vehicle moves at a velocity of V = 70 mph in ambient air at T0 = 0°C. From laboratory experiments performed on a model of the vehicle, the average convection coefficient on the outer surface of the windshield is known to be correlated by an expression of the form 0,0 NuL = 0.037 Re8 P1/3, where Re₁ = VL/v. Air properties may be approximated as k = 0.023 W/m-K, v = 12.5 × 106 m²/s, and Pr=0.71. If Tdp = 10°C and Ti = 50°C, what is the smallest value of the inside convection coefficient required to prevent condensation on the inner surface? Physical Properties Mathematical Functions What is the value of the thermal conductivity of glass, in W/m.K? W/m.K L -Tsi

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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The defroster of an automobile functions by discharging warm air on the inner surface of the windshield. To prevent condensation of
water vapor on the surface, the temperature of the air and the surface convection coefficient (T¡,¡ ) must be large enough to
maintain a surface temperature T, that is at least as high as the dewpoint (Ts,i ≥ Tdp).
Step 1
00,0¹
kg
8
-
0
Consider a windshield of length L = 800 mm and thickness t = 6 mm and driving conditions for which the vehicle moves at a
velocity of V = 70 mph in ambient air at T%0,0 = 0°C. From laboratory experiments performed on a model of the vehicle, the average
convection coefficient on the outer surface of the windshield is known to be correlated by an expression of the form
1/3
Nu₁ = 0.037 Re8 Pr¹/³, where Re₁ = VL/v. Air properties may be approximated as k = 0.023 W/m·K, v = 12.5 × 10-6 m²/s,
and Pr = 0.71. If Tdp =
= 10°C and Ti
50°C, what is the smallest value of the inside convection coefficient required to prevent
condensation on the inner surface?
Physical Properties Mathematical Functions
i
Too,i hi
=
What is the value of the thermal conductivity of glass, in W/m.K?
T5,0
W/m.K
-Tsi
Transcribed Image Text:The defroster of an automobile functions by discharging warm air on the inner surface of the windshield. To prevent condensation of water vapor on the surface, the temperature of the air and the surface convection coefficient (T¡,¡ ) must be large enough to maintain a surface temperature T, that is at least as high as the dewpoint (Ts,i ≥ Tdp). Step 1 00,0¹ kg 8 - 0 Consider a windshield of length L = 800 mm and thickness t = 6 mm and driving conditions for which the vehicle moves at a velocity of V = 70 mph in ambient air at T%0,0 = 0°C. From laboratory experiments performed on a model of the vehicle, the average convection coefficient on the outer surface of the windshield is known to be correlated by an expression of the form 1/3 Nu₁ = 0.037 Re8 Pr¹/³, where Re₁ = VL/v. Air properties may be approximated as k = 0.023 W/m·K, v = 12.5 × 10-6 m²/s, and Pr = 0.71. If Tdp = = 10°C and Ti 50°C, what is the smallest value of the inside convection coefficient required to prevent condensation on the inner surface? Physical Properties Mathematical Functions i Too,i hi = What is the value of the thermal conductivity of glass, in W/m.K? T5,0 W/m.K -Tsi
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