Consider a spherical shell of inner radius r1 and outer radius r2 whose thermal conductivity varies linearly in a specified temperature range as k(t) = k0(1 + βt ) where k0 and b are two specified constants. the inner surface of the shell is maintained at a constant temperature of t1 while the outer surface is maintained at t2. assuming steady one-dimensional heat transfer, obtain a relation for (a) the heat transfer rate through the shell and (b) the temperature distribution t(r) in the shell.
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Spherical shell of inner radius r1
Outer radius r2
Thermal conductivity k(T)=k0(1+bitaT^2)
Inner surface temperature T1
Outer surface temperature T2
Heat transfer takes place only in steady state condition.
Outer radius r2
Thermal conductivity k(T)=k0(1+bitaT^2)
Inner surface temperature T1
Outer surface temperature T2
Heat transfer takes place only in steady state condition.
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