A New Model to Study the Sound Velocity in Liquid Metals

Abstract

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.

Keywords

• Liquid metals
• Sound velocity
• Pressure
• Temperature

Supporting Institution

University of Petroleum and energy Studies, Dehradun, India-248007

Ethical Statement

The authors declare that this work is original and has not been submitted for publication elsewhere.

Thanks

Dear Sir I am pleased to submit our manuscript titled "A New Model to Study the Sound Velocity in Liquid Metals" for consideration for publication in Gazi University Journal of Science. This study introduces a novel model for understanding the behavior of sound velocity in liquid metals under varying pressure and temperature conditions. Our research focuses on liquid metals such as sodium, potassium, rubidium, cesium, mercury, and bismuth. We have proposed a new relationship to study the sound velocity, which has been validated against experimental data, showing consistent results across the entire pressure range with root mean square deviations on the order of 10-4. Additionally, we have incorporated the temperature effect by considering the linear dependence of thermal pressure on temperature. Key findings of our study include: • The computed sound velocity results are in good agreement with experimental data for all studied liquid metals. • The model accurately predicts the first and second pressure derivatives of sound velocity at ambient pressure and temperature. • The proposed relationship effectively captures the variation of sound velocity and its derivatives with both pressure and temperature. This model's novelty lies in its simplicity and accuracy, requiring only three parameters (A, B, and ξ) to represent the sound velocity across a wide range of pressures and temperatures. Our findings provide significant insights into the thermophysical properties of liquid metals and contribute to the broader understanding of their behavior under different conditions. We believe that our work is a valuable contribution to the field of condensed matter physics and will be of interest to the readers of Gazi University Journal of Science. The manuscript has not been published or submitted for publication elsewhere. Thank you for considering our manuscript for publication. We look forward to your positive response. Sincerely, Piyush Kuchhal UPES, Dehradun India [e-mail]

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