# On the Geometric Formalism of Thermodynamics: In the ContextofLiquid Bubble-Boiling and Matter Glassy State

## Main Article Content

## Abstract

Modelling of fluids vertical convection in nature by means of our original bubble-boiling method (BBM) allowed us to investigate behavior of the thermodynamic parameters of solutions during the whole process of heating (result of joint action of the processes of temperature conductivity, thermals and vapour bubbles mixing convective motion). There were obtained the universal dependence between the of bubble-boiling temperature and density of the solutions and existence of linear lows between points of discontinuities: T_{dc}, t_{dc}, S_{dc}, and ρ_{dc }which we can write, for q = const., as: (dT/ dρ)_{dc} = const., (dρ/ dt)_{dc} = const., and (dS/ dT)_{dc} = const. This method allowed us to show experimentally a similarity between the temperature-time (T, t)-diagrams of some matters water solutions and Tammann’s glassy state-diagrams. We try to find accordance between well-known Euler’s theorem on right polyhedrons and Gibbs thermodynamic rule about heterogeneous systems. Perhaps, using Gibbs-Tammann method for description of multicomponent system (n = 4, 5 , …), may obtain tetrahedron, octahedron and others. Then, for precise establishment of the moments of the liquids the micro- and macro-scale bubble-boiling regimes beginning, we analyzed our experimental (T, t)-, (dT/dt, T)-, and (d^{2} T/dt^{2}, T)-curves, which showed the existence of the acute maximums near temperatures T = 40 ^{0}C and T = 80 ^{0}C, respectively. Naturally, the same picture shows the temperature dependence of following even derivative of T with respect to t. Thus, this method of processing of T(t)-experimental data allowed us to avoid use of complex high-speed filming technique. Obtained analogy between thermodynamic diagrams of the glassy state of matter and the bubble boiling of liquids is caused by the fluidity of the glass as liquid (that is, “glass is liquid” (Tammann); undoubtedly, this is the best example of the phenomenon supporting well-known Frenkel’s kinetic theory of liquids).More over one can assume that the idea of the kinetic theory was “prompted” to Frenkel by Tammann’s glassy state, as probably form of Gibbs rule was “prompted” to him by Euler theorem about polyhedrons.

**Keywords:**

**Published:**Feb 13, 2018

## Article Details

*Journals of Georgian Geophysical Society*,

*20*. Retrieved from https://ggs.openjournals.ge/index.php/GGS/article/view/1936

## References

Gibbs J. V. Thermodynamics. Statistical Mechanics. M.: Nauka, 1982, 584 pp. (in Russian).

Tammann G. Glassy State. M.– L,ONTI GROTL, 1935, 138 pp. (Translated from German).

Tammann G. Textbook on Heterogeneous Equilibrium. L.: ONTI KHIMTEOR, 1935, 328 p.

Tammann G. Chem.107, 1, 1919; Lehrbuch der Metallographie, Leipzig, 1921, s.325.

Frenkel Ya. I. Kinetic Theory of Liquids. L., Nauka, Leningradskoe Otdelenie, 1975, 592 p.

Bronshtein I. N., Semendiaev K. A. Reference-Book on Mathematics. M., GIFMLIT, 1962, p.174 (in Russian).

Gvelesiani A.I. To the Problem of One-Dimensional Two-Phase/Many-Component Flow in Different Geophysical Mediums. Journal of the Georgian Geophysical Society, ISSN: 1512-1127, vol.16B, 2013, pp. 119-128.

Gvelesiani A., Chiabrishili N. Laboratory Modeling of Thermals Generation in Geophysical Environments by of Bubble Boiling Method. Journal of the Georgian Geophysical Society, ISSN: 1512-1127, vol.16B, 2013, pp. 129-136.

Gvelesiani A., Chiabrishvili N. Additional Experiments About Investigation of the Peculiarities of the Bubble Boiling of Clear Water, H2O, and Sugar, С12Н22О11, and Edible Salt, NaCl, Water Solutions of Different Densities. Journal of the Georgian Geophysical Society, ISSN: 1512-1127, vol. 17A, 2014, pp.132-139.

Gvelesiani A. Open Thermodynamic Systems: Convection and Similar Processes Modeling by the Only Fluids Bubble Boiling Method. Journal of the Georgian Geophysical Society, ISSN: 1512-1127, vol. 17B, 2014, pp. 38-57.

Gvelesiani A., Chiabrishvili N. Definition of Admixture Mass Content Density of Tbilisi Thermal Waters by the Original Fluids Bubble Boiling Laboratory Method. Journal of the Georgian Geophysical Society, ISSN: 1512-1127, vol. 18B, 2015, pp. 52-63.

Gvelesiani A. On the Characteristic Functions of Different Kind Thermodynamic Systems: Theory, Experiment and Observation. Journal of the Georgian Geophysical Society, ISSN: 1512-1127, vol. 19 B, 2016, pp. 3-17.

Krivoglaz M. A., Smirnov A. A. Theory of the Ordered Alloys. Gos. Izdat. Fiz.-Mat. Lit. 1958, 388 p.

Muto T., Takagi Yu. The Theory of Order-Disorder Transitions in Alloys. Solid States Physics. Academic Press Int., vol. 1, New York, 1965, 130 p., (in Russian).

Kulebakin V. G. Apply Mechanic-Chemistry in Hydro-Metallurgic Processes. Novosibirsk: Nauka, SO AN SSSR, Inst. Gorn. Dela, 1988, 272 p.

Skripov V. P. Metastable Liquids. M.: Nauka, GRFML, 1972, 312 p., (in Russian).

Skripov V. P., Koverda V. P. Spontaneous Crystallization of Super-Cooled Liquids. M.: Nauka, GRFML, 1984, 232 p., (in Russian).