We present a two transducer setup suited for the determination of the second coefficient of viscosity, sometimes also termed acoustic viscosity. We present the basic sensor setup and according models in frequency and time domain allowing to extract the acoustic viscosity from the measurement data. We illustrate the approach using experimental data obtained with a demonstrator device. The setup, which has potential for further miniaturization, is operated in the time domain. Unwanted spurious effects and imperfections, such as diffraction, acoustic matching losses, and transducer losses, are discussed and according calibration and correction strategies are presented.