Thermodynamic Law of Corresponding Shock States in Flexible Polymeric Foams

1996 ◽  
Vol 118 (4) ◽  
pp. 493-502 ◽  
Author(s):  
E. Zaretsky ◽  
G. Ben-Dor
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Universal Function ◽  
Front Velocity ◽  
Polymeric Foams ◽  
Isothermal Compression ◽  
Bulk Solids ◽  
Material Compressibility ◽  
Elastomeric Foams

Based on thermodynamic considerations and experimental data on isothermal compression of elastomeric foams, a simple equation of state of flexible polymeric foams was developed. The developed equation of state is, in fact, a simple universal function relating the thermodynamic properties of the material of which the skeleton of the foam is made and the foam porosity. It was shown that the Hugoniot adiabat of foams, whose porosity is less than 0.3 and which are exposed to moderate shocks, could be expressed in a form similar to that of bulk solids, i.e., D = Co + Su, where D is the shock front velocity, Co is the speed of sound, u is the particle velocity and S is the maximum material compressibility.

scholarly journals Modelling 3D Steam Turbine Flow Using Thermodynamic Properties of Steam Iapws-95

2016 ◽  
Vol 23 (1) ◽  
pp. 61-67 ◽  
Author(s):  
A.V. Rusanow ◽  
P. Lampart ◽  
N.V. Pashchenko ◽  
R.A. Rusanov
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Steam Turbine ◽  
Equations Of State ◽  
Three Dimensional ◽  
Steam Turbines ◽  
Perfect Gas ◽  
Van Der Waals Equation ◽  
Approximate Equations

Abstract An approach to approximate equations of state for water and steam (IAPWS-95) for the calculation of three-dimensional flows of steam in turbomachinery in a range of operation of the present and future steam turbines is described. Test calculations of three-dimensional viscous flow in an LP steam turbine using various equations of state (perfect gas, Van der Waals equation, equation of state for water and steam IAPWS-95) are made. The comparison of numerical results with experimental data is also presented.

scholarly journals THERMODYNAMIC PROPERTIES AND THE EQUATION OF STATE OF COPPER

2021 ◽  
pp. 74-81
Author(s):  
Н.В. Козырев
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Temperature Dependence ◽  
Pressure Range ◽  
Compression Modulus ◽  
Temperature Dependent ◽  
Entire Volume ◽  
Thermophysical Parameters ◽  
Einstein Model

Высокотемпературное уравнение состояния меди получено с использованием экспериментальных данных по термодинамическим свойствам, объемному термическому расширению, сжимаемости, температурной зависимости модуля объемного сжатия. Весь объем экспериментальных данных оптимизирован с использованием температурно-зависящего уравнения Тайта в диапазоне давлений до 2000 кбар и температур от 20-50 K до температуры плавления. Температурная зависимость термодинамических и термофизических параметров описана с использованием расширенной модели Эйнштейна. Полученное уравнение состояния хорошо описывает весь объем экспериментальных данных в пределах погрешности измерений отдельных величин. The high-temperature equation of state of copper is obtained using experimental data on thermodynamic properties, volumetric thermal expansion, compressibility, temperature dependence of the volumetric compression modulus. The entire volume of experimental data is optimized using the temperature-dependent Tate equation in the pressure range up to 2000 kbar and temperatures from 20-50 K to the melting point. The temperature dependence of thermodynamic and thermophysical parameters is described using the extended Einstein model. The resulting equation of state describes well the entire volume of experimental data within the measurement error of individual quantities.

scholarly journals Optimization of the quintic equation of the state based model for the calculations of different thermodynamic properties

2008 ◽  
Vol 10 (1) ◽  
pp. 6-10 ◽  
Author(s):  
Antoni Kozioł ◽  
Radosław Wiśniewski
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Saturation Pressure ◽  
The State ◽  
New Method ◽  
Original Form ◽  
Liquid Density ◽  
Temperature Dependent ◽  
Quintic Equation

Optimization of the quintic equation of the state based model for the calculations of different thermodynamic properties Different thermodynamic properties (the vapour density, the liquid density and the saturation pressure) were calculated by the model based on the Nakamura-Breedveld-Prausnitz equation of state (NBP EOS). Since the original form of the NBP EOS often generates inaccurate results for liquids, it was modified to describe this phase better. The calculations were realized in the subcritical region. So far, the temperature-dependent NBP EOS parameters have been obtained by special correlations. Their constants were fitted to a lot of experimental data. In this paper the equation of state temperature-dependent parameters were obtained by a new method which was based at piecewise cubic Hermite interpolating polynomials (PCHIPs). In the proposed method some experimental data (called the key ones) were used, thus reducing the experimental effort. Seven substances were chosen for the test calculations. Each of them is common in industry. The calculation results were compared with the experimental data. The new method has made an accurate description of vapour-liquid equilibrium for the considered pure substances over a wide temperature range possible.

scholarly journals BACKONE equation of state for Cis-1, 3, 3, 3-tetrafluoropropene (R1234ze(Z))

2018 ◽  
Vol 40 (4) ◽  
pp. 387-395
Author(s):  
Phan Thi Thu Huong ◽  
Lai Ngoc Anh
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Vapor Pressure ◽  
Characteristic Temperature ◽  
Liquid Density ◽  
Saturated Liquid ◽  
Density Data ◽  
Factor Α ◽  
Saturated Liquid Density

This paper presents the study on the determination of the thermodynamic properties of Cis-1,3,3,3-tetrafluoropropene (R1234ze(Z)) with the BACKONE equation of state. The BACKONE's characteristic temperature T0, characteristic density ρ0, anisotropy factor α, and reduce quarupole moment Q*2 were found by fitting the BACKONE EOS to experimental data of vapor pressure and saturated liquid density. All thermodynamic properties such as vapor pressure, pressure in gaseous phase, saturated liquid density, and liquid density can be determined easily from the found molecular characteristic properties. Thermodynamic properties of the R1234ze(Z) were evaluated with available experimental data. Average absolute deviations between calculated vapor pressure data and experimental data were 0.43%. Average absolute deviations between calculated saturated liquid density data and experimental data were 0.43%. In the prediction of the thermodynamic properties, average absolute deviations between calculated liquid density data and experimental data were 0.68% and average absolute deviations between calculated gas density data and experimental data were 1.6%.

scholarly journals Thermodynamic Properties of Methyl Diethanolamine

2021 ◽  
Vol 43 (1) ◽  
Author(s):  
Tobias Neumann ◽  
Elmar Baumhögger ◽  
Roland Span ◽  
Jadran Vrabec ◽  
Monika Thol
Keyword(s):  
Experimental Data ◽  
Liquid Phase ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Speed Of Sound ◽  
Fundamental Equation ◽  
Helmholtz Energy ◽  
Maximum Pressure ◽  
Temperature Range ◽  
Fundamental Equation Of State

AbstractThe homogeneous density of the liquid phase is experimentally investigated for methyl diethanolamine. Data are obtained along five isotherms in a temperature range between 300 K and 360 K for pressures up to 95 MPa. Two different apparatuses are used to measure the speed of sound for the temperatures between 322 K and 450 K with a maximum pressure of 95 MPa. These measurements and literature data are used to develop a fundamental equation of state for methyl diethanolamine. The model is formulated in terms of the Helmholtz energy and allows for the calculation of all thermodynamic properties in gaseous, liquid, supercritical, and saturation states. The experimental data are represented within their uncertainties. The physical and extrapolation behavior is validated qualitatively to ensure reasonable calculations outside of the range of validity. Based on the experimental datasets, the equation of state is valid for temperatures from 250 K to 750 K and pressures up to 100 MPa.

scholarly journals THERMODYNAMIC PROPERTIES AND THE EQUATION OF STATE OF LEAD

2021 ◽  
pp. 269-275
Author(s):  
Н.В. Козырев
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Temperature Dependence ◽  
Measurement Errors ◽  
Lattice Structure ◽  
Compression Modulus ◽  
Face Centered Cubic ◽  
Entire Volume ◽  
Face Centered

Институт проблем химико-энергетических технологий Сибирского отделения Российской академии наук (ИПХЭТ СО РАН), г. БийскВысокотемпературное уравнение состояния (УС) твердого свинца с гранецентрированной кубической структурой решетки получено с использованием экспериментальных данных по термодинамическим свойствам, термическому расширению, сжимаемости, температурной зависимости модуля объемного сжатия. Весь объем экспериментальных данных оптимизирован с использованием температурно-зависящего УС Тайта в диапазоне давлений 0-130 кбар. Температурная зависимость термодинамических и термофизических параметров описана с использованием расширенной модели Эйнштейна. Полученное УС хорошо описывает весь объем экспериментальных данных в пределах погрешностей измерения отдельных величин. The high-temperature equation of state (US) of solid lead with a face-centered cubic lattice structure is obtained using experimental data on thermodynamic properties, thermal expansion, compressibility, and temperature dependence of the volume compression modulus. The entire volume of experimental data is optimized using a temperature-dependent Void in the pressure range 0-130 kbar. The temperature dependence of thermodynamic and thermophysical parameters is described using the extended Einstein model. The obtained US well describes the entire volume of experimental data within the measurement errors of individual quantities.

scholarly journals Revisiting Kelvin equation and Peng–Robinson equation of state for accurate modeling of hydrocarbon phase behavior in nano capillaries

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ilyas Al-Kindi ◽  
Tayfun Babadagli
Keyword(s):  
Experimental Data ◽  
Surface Tension ◽  
Equation Of State ◽  
Phase Behavior ◽  
Pore Radius ◽  
Microfluidic Chips ◽  
Tight Sandstone ◽  
Kelvin Equation ◽  
Rock Samples ◽  
Robinson Equation

AbstractThe thermodynamics of fluids in confined (capillary) media is different from the bulk conditions due to the effects of the surface tension, wettability, and pore radius as described by the classical Kelvin equation. This study provides experimental data showing the deviation of propane vapour pressures in capillary media from the bulk conditions. Comparisons were also made with the vapour pressures calculated by the Peng–Robinson equation-of-state (PR-EOS). While the propane vapour pressures measured using synthetic capillary medium models (Hele–Shaw cells and microfluidic chips) were comparable with those measured at bulk conditions, the measured vapour pressures in the rock samples (sandstone, limestone, tight sandstone, and shale) were 15% (on average) less than those modelled by PR-EOS.

A Rational Equation of State for Water and Water Vapor in the Critical Region

1964 ◽  
Vol 86 (3) ◽  
pp. 320-326 ◽  
Author(s):  
E. S. Nowak
Keyword(s):  
Water Vapor ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Specific Heat ◽  
Critical Point ◽  
Critical Region ◽  
Constant Pressure ◽  
Parametric Equation ◽  
Enthalpy And Entropy ◽  
Specific Volumes

A parametric equation of state was derived for water and water vapor in the critical region from experimental P-V-T data. It is valid in that part of the critical region encompassed by pressures from 3000 to 4000 psia, specific volumes from 0.0400 to 0.1100 ft3/lb, and temperatures from 698 to 752 deg F. The equation of state satisfies all of the known conditions at the critical point. It also satisfies the conditions along certain of the boundaries which probably separate “supercritical liquid” from “supercritical vapor.” The equation of state, though quite simple in form, is probably superior to any equation heretofore derived for water and water vapor in the critical region. Specifically, the deviations between the measured and computed values of pressure in the large majority of the cases were within three parts in one thousand. This coincides approximately with the overall uncertainty in P-V-T measurements. In view of these factors, the author recommends that the equation be used to derive values for such thermodynamic properties as specific heat at constant pressure, enthalpy, and entropy in the critical region.

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