Pressure Change Leak Detection Based on Lagrange Interpolation Formula

Abstract

The pressure change method of leak testing has the serious disadvantage of being susceptible to ambient temperature change. Two or more successive leak tests are typically performed to eliminate the error caused by such change. We propose a new leak detection scheme in which multiple successive leak tests are performed on the basis of the Lagrange interpolation formula. With this scheme, we can optimally perform multiple successive leak tests for a given temperature variation. After describing the theoretical aspects of the proposed scheme, we will show experimental results of leak detection using a prototype leak detector and model piping. Results indicate that a leak can be detected using the proposed scheme without being affected by the given temperature variation.

Keywords

• leak detection
• temperature compensation
• lagrange polynomial