Ultrasonic measurement and methods for reconstruction of temperature fields for the use in bioreactors

Abstract When operating bioreactors, monitoring the process temperature is of great importance. Ultrasonic measurement enables this without need for sensors inside bioreactor. The average speed sound can be determined from travel time ultrasonic waves along path known length between a transmitter and receiver positioned in reactor wall. Due to dependence sound, calculated sound. If carried out sufficiently large number paths slice plane bioreactor, field reconstructed. In article, setup measuring distributions presented. Two different methods are then used reconstruct fields times measured with setup. first method Tikhonov regularization, which widely solve inverse problems. second derived compressed sensing only under certain conditions. However, if these conditions met, always provides better results than regularization. addition reconstruction times, simulated also