The statistical bias of laser anemometry applied in sinusoidal flowfields

The velocity bias in laser anemometry arising from the particle arrival statistics and the mode of processor control is examined theoretically for the case of a fully deterministic, sinusoidal flowfield. The results indicate a dependence of the velocity bias on three nondimensional parameters: the reduced seed rate, the reduced control period of the processor, and the dimensionless amplitude of flow oscillation. These results are compared to those obtained previously for a random, turbulent flowfield, and with experiments performed in an oscillating pipe flow. A numerical simulation is also used to verify the theoretical conclusions.