A thin square plate is heated to a temperature of 80°C and then quickly submerged in a water bath at 10°C. The plate has an edge length of 0.3 m and a thickness of 0.005 m. a. If the plate is submerged vertically, find the cooling rate immediately after the plate is submerged. b. If the plate was instead submerged horizontally, find the cooling rate immediately after the plate is submerged. Air: k = 0.03 W/mK, p = 1 kg/m, v = 2e-5 m²/s, µ = 2e-5 Pa s, a =2.9e-5 m/s, B= 3e-3 K', Pr = 0.7, Cp = 1000 J/kgK, Water: k = 0.6 W/mK, p = 1000 kg/m, v = 1e-6 m?/s, u = 1e-3 Pa s, a =1.7e-7 m/s, B= 2e-4 K, Pr = 7, Cp = 4000 J/kgK

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A thin square plate is heated to a temperature of 80°C and then quickly submerged in a water
bath at 10°C. The plate has an edge length of 0.3 m and a thickness of 0.005 m.
a. If the plate is submerged vertically, find the cooling rate immediately after the plate is
submerged.
b. If the plate was instead submerged horizontally, find the cooling rate immediately after the
plate is submerged.
Air:
k = 0.03 W/mK, p = 1 kg/m, v = 2e-5 m2/s, u = 2e-5 Pa s,
a =2.9e-5 m?/s, ß= 3e-3 K1, Pr = 0.7, Cp 1000 J/kgK,
Water:
k = 0.6 W/mK, p = 1000 kg/m, v = 1e-6 m/s, µ = 1e-3 Pa s,
a =1.7e-7 m/s, B= 2e-4 K1, Pr = 7, Cp = 4000 J/kgK
Transcribed Image Text:A thin square plate is heated to a temperature of 80°C and then quickly submerged in a water bath at 10°C. The plate has an edge length of 0.3 m and a thickness of 0.005 m. a. If the plate is submerged vertically, find the cooling rate immediately after the plate is submerged. b. If the plate was instead submerged horizontally, find the cooling rate immediately after the plate is submerged. Air: k = 0.03 W/mK, p = 1 kg/m, v = 2e-5 m2/s, u = 2e-5 Pa s, a =2.9e-5 m?/s, ß= 3e-3 K1, Pr = 0.7, Cp 1000 J/kgK, Water: k = 0.6 W/mK, p = 1000 kg/m, v = 1e-6 m/s, µ = 1e-3 Pa s, a =1.7e-7 m/s, B= 2e-4 K1, Pr = 7, Cp = 4000 J/kgK
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