TransWikia.com

how to obtain solution of this bessel equation using Frobenius method

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 ?

Add your own answers!

Ask a Question

Get help from others!

© 2024 TransWikia.com. All rights reserved. Sites we Love: PCI Database, UKBizDB, Menu Kuliner, Sharing RPP