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

Authors

  • A. V. Goncharenko National Aviation University, Kyiv

DOI:

https://doi.org/10.18372/1990-5548.54.12335

Keywords:

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

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.

Author Biography

A. V. Goncharenko, National Aviation University, Kyiv

Aircraft Airworthiness Retaining Department, Educational & Research Aerospace Institute

Doctor of Engineering Science. Associate Professor

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Issue

Vol. 4 No. 54 (2017)

Section

MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS

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