The transient temperature distribution in an infinitely long cylinder is known to be as follows:
T(r,t) = Ti - [2(qg/(kr0))] (r/r0){exp[-α(λ)2t](J0[λr])}
Where: λ satisfies the first zero of J0[λr0]
r0 = 0.05 m
qg = 500 W/m3
k =0.8 w/(m K)
Ti = 27 C
α = 3.(10-6) m2/s
A) Calculate the heat flux in the radial direction at any time at r= 0.01 m.
B) Calculate the heat flow per length at r=r0 at a time 0f 0.05 s.