4. Heat is generated with the rate of (x)=aT(x) +b per unit volume of a slab...

 

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4. Heat is generated with the rate of ġ(x)=aT(x) +b per unit volume of a slab where a & b are non-zero constants, and T' is the local temperature within the slab. The thermal conductivity is k, and slab thickness is L. One side of this slab (x =0) is insulated while its other side (x=L ) is maintained at a constant temperature (T=T₁). Under steady state, the Fourier equation for heat conduction for this system is: d²T -k. = q (x) dx² Find an expression for the temperature distribution inside this slab as a function of x. insulated L X T=TL 4. Heat is generated with the rate of ġ(x)=aT(x) +b per unit volume of a slab where a & b are non-zero constants, and T' is the local temperature within the slab. The thermal conductivity is k, and slab thickness is L. One side of this slab (x =0) is insulated while its other side (x=L ) is maintained at a constant temperature (T=T₁). Under steady state, the Fourier equation for heat conduction for this system is: d²T -k. = q (x) dx² Find an expression for the temperature distribution inside this slab as a function of x. insulated L X T=TL

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