- #1
mehsus
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I have a circular heat source of inner radius r1 and r2=r1+Δr on top of a pcb board. This heat source is transferring heat along the radius and the length of the beaker which is say L. I have to find temperature distribution along the length of the beaker so T(r.z). The beaker is filled with water till the bottom of the pcb.
I considered a differential element of radius Δr and thickness Δz at a distance z from the bottom of the pcb. Now once I write the energy balance equation on the basis of steady state as:
Qz-Qz+Δz+Qr-Qr+Δr=0
There is no convection taking place.
I come to the PDE:
d^2T/dz^2+1/r(dt/dr)+d^2T/dr^2=0
I am stuck here in solving this PDE...please help
I considered a differential element of radius Δr and thickness Δz at a distance z from the bottom of the pcb. Now once I write the energy balance equation on the basis of steady state as:
Qz-Qz+Δz+Qr-Qr+Δr=0
There is no convection taking place.
I come to the PDE:
d^2T/dz^2+1/r(dt/dr)+d^2T/dr^2=0
I am stuck here in solving this PDE...please help