An Examination of the Relationship between Sound Velocity and Density in Liquids

1972 ◽  
Vol 50 (7) ◽  
pp. 646-654 ◽  
Author(s):  
Ronald A. Aziz ◽  
D. H. Bowman ◽  
C. C. Lim
Keyword(s):  
Sound Velocity ◽  
Linear Function ◽  
Critical Region ◽  
Empirical Relationship ◽  
Grüneisen Parameter ◽  
Velocity Of Sound ◽  
Gruneisen Parameter ◽  
Polycrystalline Solid ◽  
The Relationship

The "constants" of Rao and of Carnevale and Litovitz are re-examined and their similarity to a pseudo-Grüneisen parameter is demonstrated. Another empirical relationship, viz. the velocity of sound in liquids as a linear function of density, is presented. Extrapolations of such a relationship might prove useful in the study of the velocity of sound in the critical region and in the polycrystalline solid at 0 °K.

scholarly journals Measurement of the sound velocity and Grüneisen parameter of polystyrene at inertial confinement fusion conditions

2020 ◽  
Vol 102 (18) ◽  
Author(s):  
C. A. McCoy ◽  
S. X. Hu ◽  
M. C. Marshall ◽  
D. N. Polsin ◽  
D. E. Fratanduono ◽  
...  
Keyword(s):  
Sound Velocity ◽  
Inertial Confinement Fusion ◽  
Inertial Confinement ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Confinement Fusion

scholarly journals Упругие свойства и ангармонизм твердых тел

2022 ◽  
Vol 64 (2) ◽  
pp. 241
Author(s):  
Д.С. Сандитов
Keyword(s):  
Acoustic Waves ◽  
Lattice Vibration ◽  
Interatomic Bond ◽  
Vibration Modes ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Normal Lattice ◽  
Transverse Acoustic ◽  
Definition Of ◽  
The Relationship

The squares of the velocities of the longitudinal and transverse acoustic waves separately are practically not associated with anharmonicity, and their ratio (vL2 / vS2) turns out to be a linear function of the Grüneisen parameter γ - the measure of anharmonicity. The obtained dependence of (vL2 / vS2) on γ is in satisfactory agreement with the experimental data. The relationship between the quantity (vL2 / vS2) and anharmonicity is explained through its dependence on the ratio of the tangential and normal stiffness of the interatomic bond λ, which is a single-valued function of the Grüneisen parameter λ (γ). The relationship between Poisson's ratio μ and Grüneisen parameter γ, established by Belomestnykh and Tesleva, can be substantiated within the framework of Pineda's theory. Attention is drawn to the nature of the Leont'ev formula, derived directly from the definition of the Grüneisen parameter by averaging the frequency of normal lattice vibration modes. The connection between Grüneisen, Leontiev and Belomestnykh-Tesleva relations is considered. The possibility of a correlation between the harmonic and anharmonic characteristics of solids is discussed.

VOLUME DEPENDENCE OF GRUNEISEN PARAMETER FOR SOLIDS

2008 ◽  
Vol 22 (31) ◽  
pp. 3113-3123 ◽  
Author(s):  
S. K. SHARMA
Keyword(s):  
Experimental Data ◽  
Temperature Dependence ◽  
Empirical Relationship ◽  
Grüneisen Parameter ◽  
Thermal Pressure ◽  
Gruneisen Parameter ◽  
Modified Model ◽  
Volume Dependence ◽  
Good Agreement

The present paper proposes a new empirical relationship to predict the values of volume dependence of the Gruneisen parameter. ε- Fe , NaCl , Li , Na and K in different pressure ranges have been employed to test the reliability of the model. The obtained results indicate that the model is reliable due to a good agreement between calculated results and the experimental data. Based on this modified model, the temperature dependence of thermal pressure for NaCl is also examined.

scholarly journals Transverse deformation and nonlinearity of force interactional interaction of solids

2019 ◽  
Vol 486 (1) ◽  
pp. 34-38
Author(s):  
D. S. Sanditov
Keyword(s):  
Experimental Data ◽  
Interatomic Interaction ◽  
Interaction Force ◽  
Lattice Vibrations ◽  
Grüneisen Parameter ◽  
Transverse Deformation ◽  
Gruneisen Parameter ◽  
Poisson Coefficient ◽  
The Relationship ◽  
Theoretical Developments

At this stage, it is necessary to allow the dependence of the Poisson coefficient (parameter of elasticity theory) on the nonlinearity of the interatomic interaction force and the anharmonicity of lattice vibrations (Gruneisen parameter). This dependence follows from the experimental data and finds justification in the framework of the existing theoretical developments, primarily the BRB model (Berlin-Rothenburg-Baserst). The relationship between the linear (harmonic) and nonlinear (anharmonic) properties of solids is discussed using the example of the unambiguous connection of the Poisson coefficient μ with the Gruneisen parameter.

On derivatives of fuzzy multi-dimensional mappings and applications under generalized differentiability

2021 ◽  
pp. 1-19
Author(s):  
M. Miri Karbasaki ◽  
M. R. Balooch Shahriari ◽  
O. Sedaghatfar
Keyword(s):  
Linear Function ◽  
Level Set ◽  
Fuzzy Numbers ◽  
Sufficient Condition ◽  
Continuous Linear ◽  
Generalized Differentiability ◽  
Relationship Of ◽  
The Relationship ◽  
Derivatives Of ◽  
Dimensional Mapping

This article identifies and presents the generalized difference (g-difference) of fuzzy numbers, Fréchet and Gâteaux generalized differentiability (g-differentiability) for fuzzy multi-dimensional mapping which consists of a new concept, fuzzy g-(continuous linear) function; Moreover, the relationship between Fréchet and Gâteaux g-differentiability is studied and shown. The concepts of directional and partial g-differentiability are further framed and the relationship of which will the aforementioned concepts are also explored. Furthermore, characterization is pointed out for Fréchet and Gâteaux g-differentiability; based on level-set and through differentiability of endpoints real-valued functions a characterization is also offered and explored for directional and partial g-differentiability. The sufficient condition for Fréchet and Gâteaux g-differentiability, directional and partial g-differentiability based on level-set and through employing level-wise gH-differentiability (LgH-differentiability) is expressed. Finally, to illustrate the ability and reliability of the aforementioned concepts we have solved some application examples.

Critical-Region Second-Sound Velocity in He II

1968 ◽  
Vol 21 (18) ◽  
pp. 1308-1310 ◽  
Author(s):  
J. A. Tyson ◽  
D. H. Douglass
Keyword(s):  
Sound Velocity ◽  
Critical Region ◽  
Second Sound

Low temperature Grüneisen parameter of cubic ionic crystals

1987 ◽  
Vol 43 (3) ◽  
pp. 399-411 ◽  
Author(s):  
Alicia Batana ◽  
María C. Monard ◽  
María Rosario Soriano
Keyword(s):  
Low Temperature ◽  
Ionic Crystals ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter
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