I understand how to find the resonant frequency of a closed pipe but when the thickness of the walls varies, the resonant frequency varies. Is there a formula that i can use to find the resonant frequency of a closed pipe given the length, temperature, speed of sound and THICKNESS. Thank you for any help :)
The Attempt at a Solution
I attempted a few experiments in which i used a technique called over blowing but i also want to calculate it mathematically if possible.