3- A large plane wall has a thickness L=50 cm and thermal conductivity k=25 W/m.K. On the left surface (x=0), it is subjected to a uniform heat flux go, while the surface temperature To is constant. On the right surface, it experiences convection and radiation heat transfer while the surface temperature is TL = 225°C and surrounding temperature is 25°C. The emissivity and the convection heat transfer coefficient on the right surface are 0.7 and 15 W/m²K, respectively. (a) Derive the temperature distribution equation for the wall parametrically (based on x, T₁, qo, L, and k). Plane wall Tsurr = 25°C T% = 25°C k = 25 W/m.K h = 15 W/m²K 90 ε = 0.7 T₁ = 225°C (b) Determine the temperature of the left surface of the wall at x=0? L x

Elements Of Electromagnetics
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3- A large plane wall has a thickness L=50 cm and
thermal conductivity k=25 W/m.K. On the left surface
(x=0), it is subjected to a uniform heat flux go, while
the surface temperature To is constant. On the right
surface, it experiences convection and radiation heat
transfer while the surface temperature is TL
= 225°C
and surrounding temperature is 25°C. The emissivity
and the convection heat transfer coefficient on the
right surface are 0.7 and 15 W/m²K, respectively.
(a) Derive the temperature distribution equation for
the wall parametrically (based on x, T₁, qo, L, and
k).
Plane
wall
Tsurr = 25°C
T% = 25°C
k = 25 W/m.K
h = 15 W/m²K
90
ε = 0.7
T₁ = 225°C
(b) Determine the temperature of the left surface of the wall at x=0?
L
x
Transcribed Image Text:3- A large plane wall has a thickness L=50 cm and thermal conductivity k=25 W/m.K. On the left surface (x=0), it is subjected to a uniform heat flux go, while the surface temperature To is constant. On the right surface, it experiences convection and radiation heat transfer while the surface temperature is TL = 225°C and surrounding temperature is 25°C. The emissivity and the convection heat transfer coefficient on the right surface are 0.7 and 15 W/m²K, respectively. (a) Derive the temperature distribution equation for the wall parametrically (based on x, T₁, qo, L, and k). Plane wall Tsurr = 25°C T% = 25°C k = 25 W/m.K h = 15 W/m²K 90 ε = 0.7 T₁ = 225°C (b) Determine the temperature of the left surface of the wall at x=0? L x
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