A thin board of 0.5 cm thickness is exposed to a fluid of T, = 22°C and h = 30 W/m².K from one side with an emissivity of 0.7 where it faces a surrounding whose temperature is Tsur = 30°C. A heat flux of q" = 3500 W/m² is applied to the other side. Each side has an area of 12cm× 12cm. (a) If the board has the following properties: k = 15.1 W/m.K, c, = 480 J/kg.K and p = 8055 kg/m³, express an equation for the variation of temperature with respect to time. (b) Find the initial time rate of change of the board temperature if the initial board temperature is 50°C.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A thin board of 0.5 cm thickness is exposed to a fluid
of T, = 22°C and h = 30 W/m².K from one side with
an emissivity of 0.7 where it faces a surrounding
whose temperature is Tsur = 30°C. A heat flux of q" =
3500 W/m? is applied to the other side. Each side has
an area of 12cm×12cm.
Tsur
(a) If the board has the following properties: k = 15.1
W/m.K, c, = 480 J/kg.K and p = 8055 kg/m²,
express an equation for the variation of
temperature with respect to time.
(b) Find the initial time rate of change of the board
temperature if the initial board temperature is
q"
h
50°C.
Transcribed Image Text:A thin board of 0.5 cm thickness is exposed to a fluid of T, = 22°C and h = 30 W/m².K from one side with an emissivity of 0.7 where it faces a surrounding whose temperature is Tsur = 30°C. A heat flux of q" = 3500 W/m? is applied to the other side. Each side has an area of 12cm×12cm. Tsur (a) If the board has the following properties: k = 15.1 W/m.K, c, = 480 J/kg.K and p = 8055 kg/m², express an equation for the variation of temperature with respect to time. (b) Find the initial time rate of change of the board temperature if the initial board temperature is q" h 50°C.
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