Question

Obtain an expression for practical determination of end correction for a pipe closed at one end.

Answer 1

In a pipe closed at one end, the fundamental mode corresponds to a node at the closed end and an antinode at the open end.

Resonant Length Condition:

For the fundamental frequency:

`L+e=λ/4`

λ = 4(L + e)

`f=v/(4(L+e))`

Thus, the total end correction for a pipe closed at one end is e.

Again, from experiments, e ≈ 0.6R.