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defines a solution of planar axial-symmetric diffusion equation with homogenous initial and boundary conditions:
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| \frac{\partial {\rm w}}{\partial t} = \frac{\ |
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partial^2partial^2rr^2} + \frac{1}{r} \frac{\partial {\rm w}}{\partial r} |
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| {\rm w}(t=0, r) = 0 |
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| {\rm w}(t, r=\infty) = 0 |
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| 0 <= {\rm w}(t, r) < \infty \, , \ \forall (t,r) \in D = \{ t \geq 0, r>0 \}
\subset \mathbb{R} |
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and is widely used in radial heat-mass transfer simulations.
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