2013/06/05 by Kielczynski P., P. Kiełczyński, M. Szalewski +6 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #76q05 #Acoustics #Adiabatic process #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Energy (signal processing) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Heuristic #Materials science #Mathematical analysis #Mathematical optimization #Mathematics #Mechanics #Phase Equilibria and Thermodynamics #Phenomenological model #Physics #Range (aeronautics) #Sound (geography) #Sound pressure #Speed of sound #Statistical physics #Statistics #Thermodynamics #msc:76q05 #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1306.1012
published in arXiv (Cornell University) (Cornell University) · 20 pages, 5 figures
arxiv created 2013/06/05 · openalex publication_date 2013/06/05 · arxiv updated 2013/06/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, a new general formula for the sound speed in adiabatic conditions ( S = const ) has been established. The sound speed depends on the mass density ρ (p,T ) and the internal energy per unit mass E(p,T ), both expressed as functions of the pressure p and the temperature T . This formula has been compared with experimental data on the example of triolein over the pressure range up to 450 MPa. For experimental data, phenomenological approximate formulas have been proposed. Those formulas have two versions, depending on the 2 and 3 parameters. Both versions have been developed with the help of the new expression (Eq.8) for the sound speed. The explicit form of both approximate curves can be regarded as the result of purely phenomenological modeling. However, in this paper, these new analytical expressions have been obtained by applying the heuristic procedure described in Appendix.