Engineering Asked by Link L on April 5, 2021
Given this equation:
$$
frac{1}{r}frac{d}{dr}bigg(r frac{dT}{dr} bigg) – bigg(frac{2h}{bk} bigg)(T-T_a) = 0
$$
I can let $x=rsqrt{(2h/bk)}$ and $z=T-T_a$ to obtain the bessel equation using the appropriate substitutions
$$
x^2 frac{d^2z}{dx^2} + x frac{dz}{dx} – x^2z = 0
$$
To express the solution for $z$, I read that one technique is to use the Frobenius method, but I am not sure how to apply this to be Bessel function above… Any help ?
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