An opaque, horizontal plate has a thickness of L = 21 mm and thermal conductivity k = 25 W/m-K. Water flows adjacent to the bottom of the plate and is at a temperature of Tw= 25°C. Air flows above the plate at Ta = 260°C with ha = 40 W/m².K. The top of the plate is diffuse and is irradiated with G= 1450 W/m², of which 535 W/m² is reflected. The steady-state top and bottom plate temperatures are T, = 43°C and T₁ = 35.1°C, respectively.
An opaque, horizontal plate has a thickness of L = 21 mm and thermal conductivity k = 25 W/m-K. Water flows adjacent to the bottom of the plate and is at a temperature of Tw= 25°C. Air flows above the plate at Ta = 260°C with ha = 40 W/m².K. The top of the plate is diffuse and is irradiated with G= 1450 W/m², of which 535 W/m² is reflected. The steady-state top and bottom plate temperatures are T, = 43°C and T₁ = 35.1°C, respectively.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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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).

Transcribed Image Text:An opaque, horizontal plate has a thickness of L = 21 mm and thermal conductivity k = 25 W/m.K. Water flows adjacent to the
260°C with ha = 40 W/m².K. The
bottom of the plate and is at a temperature of Tw= 25°C. Air flows above the plate at Ta
top of the plate is diffuse and is irradiated with G= 1450 W/m², of which 535 W/m² is reflected. The steady-state top and bottom
plate temperatures are T, = 43°C and T₂ = 35.1°C, respectively.
=

Transcribed Image Text:Determine the emissivity of the plate.
ε =
Determine the radiosity associated with the top of the plate, in W/m².
J = i
W/m²
Determine the convection heat transfer coefficient associated with the water flow, in W/m².K.
hw = i
W/m².K
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