AN OPTIONAL HYBRID FUNCTIONS METHOD OF AN IDEAL GAS ADIABATIC PROCESS EQUATION DERIVATION

A. V. Goncharenko

Abstract


Considered a multi-optional method of finding an ideal gas adiabatic process equation. Specific hybrid optional functions are taken into account at the optimization of an objective functional which includes an entropy uncertainty measure for those specific hybrid optional functions. Required mathematical models of the presented doctrine for obtaining the optimal multi-optional distributions suppose existence of some thermodynamic states options special functions (logarithmic values of the specific volumes), certain hybrid optional functions (temperatures) relating to the options special functions and an intrinsic parameter of the process (ratio constructed with the specific heat capacities). This is a new insight into the scientific substantiation of the well-known dependency derived in another way; also it is a plausible explanation of the widely used in theoretical thermodynamics phenomenon.


Keywords


Adiabat; ideal gas; process parameters relation; optimization; entropy extremization principle; multi-optionality; hybrid optional functions; optimal distribution; variational problem

References


O. A. Sushchenko, Y. M. Bezkorovainyi, and N. D. Novytska “Assessment of Accuracy of Nonorthogonal Redundant Inertial Measuring Instruments.” Electronics and Control Systems. 2017. vol. 3(53). pp. 17–25. (ISSN: 1990-5548)

V. M. Sineglazov and I. S. Shvaliuk, “Classification of Vertical-Axis Wind Power Plants with Rotary Blades.” Electronics and Control Systems. 2017. vol. 3(53). pp. 84–87. (ISSN: 1990-5548)

V. M. Sineglazov, A. A. Ziganshin, and M. P. Vasylenko, “Computer-Aided Design of Wind Power System with Combined Rotor.” Electronics and Control Systems. 2016. vol. 3(49). pp. 73–78. (ISSN: 1990-5548)

O. A. Sushchenko, “Features of Control of Tracking Modes.” Electronics and Control Systems. 2016. vol. 3(49). pp. 40–47. (ISSN: 1990-5548)

K. Szafran and I. Kramarski, “Safety of Navigation on the Approaches to the Ports of the Republic of Poland on the Basis of the Radar System on the Aerostat Platform.” The International Journal on Marine Navigation and Safety of Sea Transportation. 2015. vol. 9, no. 1. pp. 131–136. (ISSN: 2083-6473)

O. Zaporozhets, V. Tokarev, and K. Attenborough, Aircraft Noise. Assessment, Prediction and Control, Glyph International, Tailor and Francis, 2011, 480 p.

S. Dmitriyev, A. Koudrin, A. Labunets, and M. Kindrachuk, “Functional Coatings Application for Strengthening and Restoration of Aviation Products.” Aviation. 2005. vol. 9, no. 4. pp. 39–45.

O. Solomentsev, M. Zaliskyi, and O. Zuiev, “Estimation of Quality Parameters in the Radio Flight Support Operational System.” Aviation. 2016. vol. 20, no. 3. pp. 123–128.

T. Shmelova, Y. Sikirda, N. Rizun, A.-B. M. Salem, and Y. N. Kovalyov, Socio-Technical Decision Support in Air Navigation Systems: Emerging Research and Opportunities, Pennsylvania, USA: International Publisher of Progressive Information Science and Technology Research, 2017, 264 p.

M. Kulyk and G. Suslova, “Integration of the ICAO Training Institute into the International Education Network.” Aviation. 2014. vol. 18, no. 2. pp. 104–108.

V. Chepizenko, V. Kharchenko, and S. Pavlova, “Synergy of Piloted, Remotely Piloted and Unmanned Air Systems in Single Air Navigation Space.” Logistics and transport. 2013. vol. 2(18). pp. 77–82.

V. A. Kirillin, V. V. Sychov, and A. E. Sheindlin, Engineering Thermodynamics, Moscow, Russia: “Energoatomizdat”, 1983, 414 p. (in Russian)

E. R. Jones and R. L. Childers, Contemporary college physics: 3rd ed., USA: WCB/McGraw-Hill, 1999, 1025 p.

O. Andriets, V. Matviienko, and V.Ocheretianyi, “Ship Gas Turbine Engine with the Intermediate Gas Reheating Before the Power Overexpansion Turbine.” Proceedings of ASME Turbo Expo 2012, June 11–15, 2012, Bella Center, Copenhagen, Denmark, ISBN: 978-0791854631, 2012, vol. 5. pp. 217–222.

V. Kasianov, Subjective Entropy of Preferences, Subjective Analysis: Monograph, Warsaw, Poland: Institute of Aviation Scientific Publications, 2013, 644 p. (ISBN 978-83-63539-08-5)

V. A. Kasianov and A. V. Goncharenko, Extremal Principle of Subjective Analysis. Light and Shadow. Proportions of Shadow Economy. Entropy Approach: Monograph. Kyiv, Ukraine: “Kafedra”, 2017, 90 p. (ISBN 978-617-7301-41-6)

A. Goncharenko, “Aircraft Operation Depending upon the Uncertainty of Maintenance Alternatives.” Aviation. 2017. vol. 21, no. 4. pp. 126–131.

https://doi.org/10.3846/16487788.2017.1415227

A. V. Goncharenko, “A Concept of Multi-Optional Optimality at Modeling Ideal Gas Isothermal Processes.” Electronics and Control Systems. 2017. vol. 2(52). pp. 94–97. DOI: 10.18372/1990-5548.52.11885 (ISSN: 1990-5548)

A. V. Goncharenko, “Alternativeness of Control and Power Equipment Repair versus Purchasing According to the Preferences of the Options.” Electronics and Control Systems. 2016. vol. 4(50). pp. 98–101. (ISSN: 1990-5548)

A. V. Goncharenko, “An Alternative Method of the Main Psychophysics Law Derivation.” Clin. and Exp. Psychol. 2017. vol. 3(155). pp. 1–5. (ISSN: 2471-2701) doi: 10.4172/2471-2701.1000155.

A. V. Goncharenko, “A Diagnostics Problem of A-Posterior Probability Determination via Bayes’ Formula Obtained in the Multi-Optional Hybrid Functions Entropy Conditional Optimization Way.” Problems of friction and wear. 2017. vol. 4(77). pp. 95–99. (ISSN: 0370-2197)


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