This study proposes a new relationship to investigate the behavior of sound velocity as a function of pressure in liquid metals. The suggested relation is applied in liquid metals like Sodium, Potassium, Rubidium, Cesium, Mercury and Bismuth. The computed sound velocity results for each liquid metal are found to be consistent with the experimental data across the entire pressure range, with root mean square deviations on the order of 10-4 in each case. The temperature effect is also introduced by considering the linear dependence of thermal pressure on temperature. The maximum average absolute percentage relative deviation (AARD %) of 0.45 is noted in the case of Bismuth across the entire pressure range at temperatures. The first and second pressure derivatives of sound velocity at ambient pressure and temperature are calculated and found to be in good agreement with the available data. Furthermore, the proposed relationship can predict the variation of the first pressure and temperature derivatives of sound velocity with pressure and temperature.
Kuchhal et al. (Thu,) studied this question.