EXAMPLE 2.3 A= 10 m? =1000 Wim k=D40 Winrk p= 1600 kgn 4 kiigK The temperature distribution across a wall 1 m thick at a certain instant of time is given as Tu= a+ bx+c T(x) = a + bx + cr² where T is in degrees Celsius and x is in meters, while a = 900°C, b = -300°C/m, and c= -50°C/m². A uniform heat generation, = 1000 W/m², is present in the wall of area 10m² having the properties p= 1600 kg/m², k = 40O W/m·K, and e, = 4kJ/kg• K. %3D 1 Detemine the rate of hea tranler entering the wl ( =0)an levig the al ( = Im). %3D %3D 2. Determine the rate of change of energy storage in the wll. 3. Determine the time rate of temperature change at.x= 0,0.25, and 0.5m. %3D AS Alad Baam Sh 56:43 Matd A ad

Elements Of Electromagnetics
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EXAMPLE 2.3
A= 10 m
=1000 Wim
k=40 Winrk
p=1600 kg
4 kiigK
The temperature distribution across a wall 1 m thick at a certain instant of time is
given as
Tu)=
a+ bx+ c
T(x) = a + bx + cr²
where T is in degrees Celsius and x is in meters, while a = 900°C, b = -300°C/m, and
c = -50°C/m². A uniform heat generation, = 1000 W/m², is present in the wall of area
10m² having the properties p = 1600 kg/m², k = 40O W/m·K, and e, = 4 kJ/kg• K.
%3D
%3D
1 Dolemine the rate of hea tranler entering the wl =0)ad levig the al ( = Im).
%3D
%3D
2. Determine the rate of change of energy storage in he al.
%3D
3. Determine the time rate of temperature change at.x= 0,0.25, and 0.5m.
AS
Almad Basam hw
56:43
D M d A Zad
Transcribed Image Text:EXAMPLE 2.3 A= 10 m =1000 Wim k=40 Winrk p=1600 kg 4 kiigK The temperature distribution across a wall 1 m thick at a certain instant of time is given as Tu)= a+ bx+ c T(x) = a + bx + cr² where T is in degrees Celsius and x is in meters, while a = 900°C, b = -300°C/m, and c = -50°C/m². A uniform heat generation, = 1000 W/m², is present in the wall of area 10m² having the properties p = 1600 kg/m², k = 40O W/m·K, and e, = 4 kJ/kg• K. %3D %3D 1 Dolemine the rate of hea tranler entering the wl =0)ad levig the al ( = Im). %3D %3D 2. Determine the rate of change of energy storage in he al. %3D 3. Determine the time rate of temperature change at.x= 0,0.25, and 0.5m. AS Almad Basam hw 56:43 D M d A Zad
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