Geometric Modeling Parameters of Water and Water Vapour Physical State

Abstract

The article proposes the geometric models of water and water vapor physical state with a further analytical description using the mathematical apparatus of geometric modeling of processes and phenomena (BN-calculation). The initial values of water and water vapor physical state are taken from the i-d diagram of humid air to simulate this process. Geometric modeling is presented as two different response surfaces for moisture content and enthalpy of humid air. Geometric models are a two-parameter set that belongs to three-dimensional space. Each response surface was divided into three compartments with defined boundaries and analytically described using point equations for arcs of curves passing through preassigned points. This allowed accurately calculating the desired values of the parameters in the software package Maple. The analysis of the effectiveness of geometric modeling of moisture content and enthalpy of humid air is given. The effectiveness is presented graphically based on i-d diagrams, and calculated values obtained based on the developed geometric models. The proposed geometric models allow determining all the necessary values of parameters of water and water vapor physical state. This allows automating the design process, as well as optimizing the simulation using mathematical analysis methods.