Time of Flights Estimations of Ultrasonic Signals Based on Numerical Methods

Flow measurement is of great importance in many industrial applications. Ultrasonic flow measurement using time-of-flight technique can equip adequate solutions for such processes. The estimation of time of flights of the ultrasonic signals has a key role in the measurement process under the case of ultrasonic signal technology. In this work, a robust technique is proposed based on numerical methods in order to estimate the time-of-flights of the ultrasonic signals. Due to the discrete nature of the ultrasonic signals, the proposed method shows efficient results in order to estimate the time of flights. The proposed method is validated through experimental works. According to the results, Lagrange-Taylor, Taylor (forward) numerical schemes supplied better performance over correlation based method at overall volumetric flow rates, respectively.