SOLVED: Starting from the expression for the Laplacian operator in polar coordinates, ∇^2T = (1/r) ∂/∂r (r ∂T/∂r) + (1/r^2) ∂^2T/∂θ^2 show that the steady-state temperature profile T(r,θ) of a metal annulus (
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Laplace's Equation--Spherical Coordinates -- from Wolfram MathWorld
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SOLVED: In this dimension, compute the Laplacian in polar coordinates. That is, write f(r, θ, t) = cℓ(r cos θ, r sin θ, t), so that f is really the same as
