Hydraulic machinery monitoring using nonintrusive sensors is today's trend in the hydroelectric power industry. The phenomena of cavitation vortex occurs mostly at off-design regimes, which reduces the turbine's efficiency. In this article, we propose a mathematical model for vortex detection and a 3-D vortex presence visualization. Its visualization is constructed on the gyroscope principle, translating the strain gauge vertical elongations into a nutation movement. The mathematical model for vortex detection computes the data statistical moments. The model is tested on experimental data recorded using an extensometer.