Chemical Engineering > GATE 2012 > Conduction
The one - dimensional unsteady state heat conduction equation in a hollow cylinder with a constant heat source q is (∂T/∂t)=(1/r)(∂/∂r)(r(∂T/∂r))+q. If A and B are arbitrary constants, then the steady state solution to the above equation is
A
T(r)=-qr2/2+A/r+B
B
T(r)=-qr2/4+Alnr+B
C
T(r)=Alnr+B
D
T(r)=qr2/4+Alnr+B

Correct : b

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